{"title":"History of mathematics Books","description":"","products":[{"product_id":"the-man-from-the-future-9780241398869","title":"The Man from the Future","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eA \u003ci\u003eFINANCIAL TIMES\u003c\/i\u003e AND \u003ci\u003eTLS\u003c\/i\u003e BOOK OF THE YEAR\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAn exhilarating new biography of John von Neumann: the lost genius who invented our world\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003e''A sparkling book, with an intoxicating mix of pen-portraits and grand historical narrative. Above all it fizzes with a dizzying mix of deliciously vital ideas. . . A staggering achievement'' Tim Harford\u003cbr\u003e\u003c\/b\u003e\u003cbr\u003eThe smartphones in our pockets and computers like brains. The vagaries of game theory and evolutionary biology. Self-replicating moon bases and nuclear weapons. All bear the fingerprints of one remarkable man: John von Neumann.\u003cbr\u003e\u003cbr\u003eBorn in Budapest at the turn of the century, von Neumann is one of the most influential scientists to have ever lived. His colleagues believed he had the fastest brain on the planet - bar none. He was instrumental in the Manhattan Project and helped formulate the bedrock of Cold War geopolitics and modern economic theory. He created the first ever programmable digital computer. He prophesied the potential of nanotechnology and, from his deathbed, expounded on the limits of brains and computers - and how they might be overcome.\u003cbr\u003e\u003cbr\u003eTaking us on an astonishing journey, Ananyo Bhattacharya explores how a combination of genius and unique historical circumstance allowed a single man to sweep through so many different fields of science, sparking revolutions wherever he went.\u003cbr\u003e\u003cbr\u003eInsightful and illuminating, \u003ci\u003eThe Man from the Future\u003c\/i\u003e is a thrilling intellectual biography of the visionary thinker who shaped our century.\u003c\/p\u003e","brand":"Penguin Books Ltd","offers":[{"title":"Default Title","offer_id":47832730370391,"sku":"9780241398869","price":10.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780241398869.jpg?v=1710337331"},{"product_id":"the-mathematics-of-the-gods-and-the-algorithms-of-men-9780141986487","title":"The Mathematics of the Gods and the Algorithms of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eFull of interesting ideas, insightful and thought-provoking ... A stimulating book that perhaps leaves the reader with more questions than answers. That, in case you are wondering, is intended as praise -- Tony Mann * Times Higher Education *","brand":"Penguin Books Ltd","offers":[{"title":"Default Title","offer_id":48066828304727,"sku":"9780141986487","price":10.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780141986487.jpg?v=1713211700"},{"product_id":"god-created-the-integers-the-mathematical-breakthroughs-that-changed-history-9780141018782","title":"God Created the Integers The Mathematical","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eGOD CREATED THE INTEGERS is Stephen Hawking''s personal choice of the greatest mathematical works in history. He allows the reader to peer into the mind of genius by providing us with excerpts from original mathematical proofs and results. He also helps us understand the progression of mathematical thought, and the very foundations of our presentday technologies. The book includes landmark discoveries spanning 2500 years and representing the work of mathematicians such as Euclid, Georg Cantor, Kurt Godel, Augustin Cauchy, Bernard Riemann and Alan Turing. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication, many in new translations.","brand":"Penguin Books Ltd","offers":[{"title":"Default Title","offer_id":48732391571799,"sku":"9780141018782","price":17.09,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780141018782.jpg?v=1719996677"},{"product_id":"humble-pi-9780141989143","title":"Humble Pi","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003e**The First Ever Maths Book to be a No.1 Bestseller**\u003cbr\u003e\u003c\/b\u003e\u003cb\u003e''Wonderful ... superb'' \u003ci\u003eDaily Mail\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eWhat makes a bridge wobble when it''s not meant to? Billions of dollars  mysteriously vanish into thin air? A building rock when its resonant  frequency matches a gym class leaping to Snap''s 1990 hit \u003ci\u003eI''ve Got The Power\u003c\/i\u003e? The answer is maths. Or, to be precise, what happens when maths goes wrong in the real world.\u003cbr\u003e\u003cbr\u003eAs  Matt Parker shows us, our modern lives are built on maths: computer  programmes, finance, engineering. And most of the time this maths works  quietly behind the scenes, until ... it doesn''t. Exploring and  explaining a litany of glitches, near-misses and mishaps involving the  internet, big data, elections, street signs, lotteries, the Roman empire  and a hapless Olympic shooting team, Matt Parker shows us the bizarre  ways maths trips us up, and what this reveals about its essential place  in our world.\u003cbr\u003e\u003cbr\u003eMathematics doesn''t have good ''people skills'', but  we would all be better off, he argues, if we saw it as a practical  ally. This book shows how, by making maths our friend, we can learn from  its pitfalls. It also contains puzzles, challenges, geometric socks,  jokes about binary code and three deliberate mistakes. Getting it wrong  has never been more fun.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eMatt Parker has pulled off something \u003cb\u003ewonderful\u003c\/b\u003e . . . his\u003cb\u003e stories are superb\u003c\/b\u003e. -- Marcus Berkmann * The Daily Mail *\u003cbr\u003eParker is consistently very funny . . . \u003cb\u003ehighly entertaining\u003c\/b\u003e. * The Guardian *\u003cbr\u003eNumbers to die for. Four stars. -- Simon Griffith * Mail on Sunday *\u003cbr\u003eBought it yesterday, enjoying it enormously, well done! -- Dara Ó Briain * Twitter *\u003cbr\u003eI just finished the new book by irrepressible maths enthusiast @\u003cb\u003estandupmaths\u003c\/b\u003e, and it's GREAT! -- Adam Savage, ex-host of 'Mythbusters' * Twitter *\u003cbr\u003eAn entertaining and often alarming journey through the numerical blunders made over the years. * The Big Issue *\u003cbr\u003e\u003cb\u003eVery funny\u003c\/b\u003e. . .  a compendium of stories about mathematical failures; some are amusing, others alarming, as in the case of the passenger aircraft that ran out of fuel because it had been measured in the wrong units * Telegraph Books of the Year *\u003cbr\u003e\u003cb\u003eThe surprise bestseller\u003c\/b\u003e that makes maths fun * Sunday Times Magazine *\u003cbr\u003e\u003cb\u003eFun, informative, and relentlessly entertaining\u003c\/b\u003e, \u003ci\u003eHumble Pi\u003c\/i\u003e is a charming and very readable guide to some of humanity's all-time greatest miscalculations - that also gives you permission to feel a little better about some of your own mistakes -- Ryan North, author of How to Invent Everything","brand":"Penguin Books Ltd","offers":[{"title":"Default Title","offer_id":48732510486871,"sku":"9780141989143","price":10.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780141989143.jpg?v=1719997200"},{"product_id":"the-spirit-of-mathematics-algebra-and-all-that-9780192845085","title":"The Spirit of Mathematics Algebra and all that","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWhat makes mathematics so special?Whether you have anxious memories of the subject from school, or solve quadratic equations for fun, David Acheson''s book will make you look at mathematics afresh. Following on from his previous bestsellers, The Calculus Story and The Wonder Book of Geometry, here Acheson highlights the power of algebra, combining it with arithmetic and geometry to capture the spirit of mathematics. This short book encompasses an astonishing array of ideas and concepts, from number tricks and magic squares to infinite series and imaginary numbers.Acheson''s enthusiasm is infectious, and, as ever, a sense of quirkiness and fun pervades the book. But it also seeks to crystallize what is special about mathematics: the delight of discovery; the importance of proof; and the joy of contemplating an elegant solution. Using only the simplest of materials, it conjures up the depth and the magic of the subject.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eDavid Acheson captures the joy and wonder of mathematics in this little book, full of delightful and curious examples presented in a gentle, friendly way, yet packing in a number of profound ideas. * Hannah Fry, broadcaster and lecturer, author of The Mathematics of Love and The Indisputable Existence of Santa Claus *\u003cbr\u003eA delight. * Brian Clegg, Popular Science *\u003cbr\u003e[A] compendium of intriguing ideas which would fascinate and compel a keen mathematician wanting to learn more, and provide hours of intrigue and jumping-off points for further investigation. * Katie Steckles, The Aperiodical *\u003cbr\u003e[A] neat little book...every teacher, or at least every department, should have a copy. * Grant Macleod, Mathematics in Schools  *\u003cbr\u003eThis book is both interesting and entertaining, and it should appeal to any numerate person who has a casual interest in puzzles or mathematics. * SF2 Concatenation *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Introduction 2: Whatever Happened to A, B, and C? 3: The 1089 Trick 4: Another Kind of Magic 5: Just Imagine... 6: A Most Unusual Lecture 7: Why are Mathematicians Obsessed by Proof? 8: Puzzling Mathematics 9: Why Does (-1) × (-1) = +1? 10: It's a Square World 11: Algebra in Action 12: 'Compleating the Square' 13: Slices of Pi 14: The Golden Ratio 15: Proof by Chocolate 16: The Puzzled Farmer 17: Mathematics and Snooker 18: The Wicked Schoolteacher 19: Trains, Boats, and Planes 20: I've Seen That Before, Somewhere ... 21: An Apple Falls ... 22: Rollercoaster Mathematics 23: The Electric Guitar Revisited 24: The Domino Effect 25: Real or Imaginary? 26: The Square Root of Minus One 27: Inspector Riemann Investigates ... 28: Infinite Danger 29: 1 + 1 to the Rescue! 30: And Finally ... Notes and references Further Reading Index","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732592931159,"sku":"9780192845085","price":14.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780192845085.jpg?v=1719997568"},{"product_id":"godels-theorem-a-very-short-introduction-very-short-introductions-9780192847850","title":"Gödels Theorem A Very Short Introduction Very","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWhen Kurt Gödel published his celebrated theorem, showing that no axiomatization can determine the whole truth and nothing but the truth concerning arithmetic, it had a profound impact on mathematical ideas and philosophical thought. Adrian Moore places the theorem in its intellectual and historical context, explaining the key concepts and misunderstandings.","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732594798935,"sku":"9780192847850","price":9.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780192847850.jpg?v=1719997578"},{"product_id":"number-theory-9780198798095","title":"Number Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eNumber theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but today it has great practical importance in cryptography, from credit card security to national defence. This book introduces the main areas of number theory, and some of its most interesting problems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eList of illustrations List of tables 1: What is number theory? 2: Divisibility 3: Primes I 4: Congruences I 5: Diophantine equations 6: Congruences II 7: Primes II 8: The Riemann hypothesis Appendix Further reading Index","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732787507543,"sku":"9780198798095","price":9.49,"currency_code":"GBP","in_stock":true}]},{"product_id":"the-wonder-book-of-geometry-9780198846383","title":"The Wonder Book of Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eHow can we be sure that Pythagoras''s theorem is really true? Why is the ''angle in a semicircle'' always 90 degrees? And how can tangents help determine the speed of a bullet?David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eWell written, clear and informative. * Edward Rochead, Mathematics today *\u003cbr\u003eThis delightful book should be available, at the minimum, in every high school library and in every public library. * F. -J. Papp, Mathematical Reviews Clippings *\u003cbr\u003eIt would make an ideal addition both to readers' bookshelves and for every school library. * GERRY LEVERSHA, The Mathematical Gazette *\u003cbr\u003eEverything was explained clearly and concisely so that the wonders of geometry could definitely be seen. * Jasmine Wootten, LMS Newsletter *\u003cbr\u003eDon't Miss: The Wonder Book of Geometry is full of pretty surprises... * New Scientist *\u003cbr\u003eGive this to a curious teenager and they will fall in love with geometry. * Alex Bellos *\u003cbr\u003eDavid Acheson has set geometry free from the confines of stuffy textbooks and lets loose its potential to surprise and delight. Theres a rich and ancient history to be found in these pages, and a future for the field that extends beyond neat (yet elegant) equations. * BBC Science Focus, Books of the Year *\u003cbr\u003eThis is by far the most approachable book on geometry I've ever read, and I wish it had been around in my day... if you need to learn the basics of geometry for whatever reason (there must be several reasons, surely) then this blows every known textbook on the topic out of the water...  The Wonder Book of Geometry  does what it does wonderfully. Acheson has done a remarkable job. *  Popular Science  *\u003cbr\u003eAnyone who has read David's earlier books will instantly recognise his almost playful style... I highly recommend it as a marvellous source book on geometry. * Ray Huntley, Mathematics in Schools *\u003cbr\u003eThere is no better tour guide to the wonders of geometry than the delightful David Acheson. * Matt Parker, author of Humble Pi: A Comedy of Maths Errors and Things to Make and Do in the Fourth Dimension *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Introduction 2: Getting Started 3: Euclid's Elements 4: Thales' Theorem 5: Geometry in Action 6: Pythagoras' Theorem 7: 'In Love with Geometry'? 8: 'Imagine my exultation, Watson...' 9: Congruence and Similarity 10: Conversely... 11: Circle Theorems 12: Off at a Tangent 13: From Tangents to Supersonic Flow 14: What is pi, exactly? 15: The Story of the Ellipse 16: Geometry by Coordinates 17: Geometry and Calculus 18: A Royal Road to Geometry? 19: Unexpected Meetings 20: Ceva's Theorem 21: A Kind of Symmetry 22: 'Pyracy' in Woolwich? 23: Fermat's Problem 24: A Soap Solution 25: Geometry in 'The Ladies' Diary' 26: What Euclid Did 27: Euclid on Parallel Lines 28: 'A New Theory of Parallels'? 29: Anti-Euclid? 30: When Geometry Goes Wrong... 31: New Angles on Geometry 32: And Finally...","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732809920855,"sku":"9780198846383","price":13.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198846383.jpg?v=1719998493"},{"product_id":"beyond-the-learned-academy-9780198863953","title":"Beyond the Learned Academy","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe tremendous growth of the mathematical sciences in the early modern world was reflected contemporaneously in an increasingly sophisticated level of practical mathematics in fields such as merchants'' accounts, instrument making, teaching, navigation, and gauging. In many ways, mathematics shaped the knowledge culture of the age, infiltrating workshops, dockyards, and warehouses, before extending through the factories of the Industrial Revolution to the trading companies and banks of the nineteenth century. While theoretical developments in the history of mathematics have been made the topic of numerous scholarly investigations, in many cases based around the work of key figures such as Descartes, Huygens, Leibniz, or Newton, practical mathematics, especially from the seventeenth century onwards, has been largely neglected. The present volume, comprising fifteen essays by leading authorities in the history of mathematics, seeks to fill this gap by exemplifying the richness, diversity\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Philip Beeley and Christopher Hollings: Introduction Part I - Navigation, Seafaring, Warfare 2: Jim Bennett: 'Mecanicall Practises Drawne from the Artes Mathematick': the Mathematical Identity of the Elizabethan Navigator John Davis 3: Margaret E. Schotte: Navigation Exams in the Early Modern Period 4: Rebekah Higgitt: Mathematical Examiners at Trinity House: Teaching and Examining Mathematics for Navigation in London During the Long Eighteenth Century 5: João Caramalho Domingues: What Mathematics for Portuguese Military Engineers? From the Class of Fortification to the Military Academy of Lisbon Part II - Professions, Societies, and Cultures of Mathematics 6: Sloan Evans Despeaux and Brigitte Stenhouse: Mathematical Men in Humble Life: Philomaths from North-west England as Editors of 'Questions for Answer' Journals 7: Benjamin Wardhaugh: Collection, Use, Dispersal: The Library of Charles Hutton and the Fate of Georgian Mathematics 8: Christopher D. Hollings: Mathematics at the Literary and Philosophical Societies 9: David R. Bellhouse: The Evolution of Actuarial Science to 1848 Part III - Mathematical Practitioners and their Scientific Milieus 10: Stefano Gulizia: Assembling the Scribal Self: Gian Vincenzo Pinelli's Circle and Mathematical Practitioners in the Veneto, c. 1580-1606 11: Philip Beeley: Mathematical Businesses: Seventeenth-Century Practitioners and their Academic Friends 12: Thomas Morel: 'All of This Was Born on Paper': The Mathematics of Tunnelling in Eighteenth-Century Metallic Mines Part IV - The Practice and Teaching of Mathematics 13: Ivo Schneider: Climbing the Social Ladder: Johannes Faulhaber's Path from Schoolmaster to Fortification Engineer 14: Albrecht Heeffer: The Difficult Relation of Surveyors with Algebra: The Hundred Mathematical Questions of Cardinael 15: Boris Jardine: The Life Mathematick: John and Euclid Speidell, and the Centrality of Instruments in Seventeenth-Century Pedagogy 16: Mark McCartney: James Thomson Senior and Mathematics at the Belfast Academical Institution, 1814-1832","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732820210007,"sku":"9780198863953","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"the-life-and-work-of-james-bradley-9780198884200","title":"The Life and Work of James Bradley","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe Life and Work of James Bradley: The New Foundations of 18th Century Astronomy is the first major work on the life and achievements of James Bradley for 190 years. This book offers a new perspective and new interpretations of previously published materials, together with various insights about recently researched sources.This book is a complete account of the life and work of Bradley as discerned from surviving documents of his working archive, as well as other documents and records. In addition, it offers a new interpretation of Bradley''s work as an astronomer, not merely from his observations of Jupiter and Saturn and their satellites and annual aberration and the nutation of the Earth''s axis, but also his corroborative work with pendulums and other horological work with George Graham. It also explores the little amount documented about his private life including a degree of speculation about his personal relationships.This work on 18th century astronomy is intended for students\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface Table of contents Introduction: Contexts and connections 1: The King's observator 2: May it please your Honours 3: An ingenious young man 4: A new discovered motion 5: And yet it moves 6: The laws of nature 7: On the figure of the Earth 8: The triumph of Themistocles 9: If such a man could have enemies... 10: Observations beyond compare 11: Fundamenta Astronomiae Conclusion: The man who moved the world","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732827517271,"sku":"9780198884200","price":83.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198884200.jpg?v=1719998573"},{"product_id":"a-beautiful-question-9780718199463","title":"A Beautiful Question","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eA Nobel Prize-winning physicist argues that beauty is the fundamental organizing principle for the entire universe\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eIn this scientific tour de force, world-class physicist Frank Wilczek argues that beauty is at the heart of the logic of the universe. As the quest to find the beauty embodied in the universe has connected all scientific pursuit, from Pythagoras to Einstein, Wilczek shows us just how deeply intertwined our ideas about beauty and art are with our understanding of the cosmos. \u003ci\u003eA Beautiful Question\u003c\/i\u003e is a mind-expanding book combining the age-old human quest for beauty with the age-old human quest for truth.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eA truly beautiful book ... Why do physicists call their theories beautiful? Immerse yourself in this book, wallow in it, sit back and relax as you wander through it, and you'll soon understand. -- Richard Muller, author of Physics for Future Presidents\u003cbr\u003eAnyone who wants to see how science and transcendence can be compatible must read this book. Wilczek has caught the winds of change, and his thinking breaks through some sacred boundaries with curiosity, insight, and intellectual power. -- Deepak Chopra, M.D.\u003cbr\u003eIlluminating ... A fresh perspective on modern scientific thinking from an expert with a flair for jargon-free exposition ... Wilczek writes \u003ci\u003eA Beautiful Question \u003c\/i\u003ewith bracing pizzazz ... Contains more beef than many a finely written scientific potboiler. -- Graham Farmelo * Guardian *\u003cbr\u003eThe first book I've read in which I've felt that almost vertiginous sensation of peering through layers of theories down to the true nature of the universe ... At times this is a challenging text, but it is well worth the effort. Wilczek is admirably clear in his explanations. -- Lewis Dartnell * Telegraph *\u003cbr\u003eIt's rare that scientists as brilliant as Wilczek give us a glimpse of what goes on inside their heads ... Expect to come away pretty dazzled. * BBC Focus *\u003cbr\u003e[A] searching and earnest book ... The book of a love-struck physicist ... \u003ci\u003eA Beautiful Question\u003c\/i\u003e is a meditation. -- Amy X. Wang * Slate *\u003cbr\u003e\u003ci\u003eA Beautiful Question \u003c\/i\u003eis both a brilliant exploration of largely uncharted territories and a refreshingly idiosyncratic guide to developments in particle physics. * Nature *\u003cbr\u003eWilczek's sheer pleasure in the beauty of mathematics is the engine and joy of this book ... [A] rewarding read ... There is a lot of food for the mind here, but also some for the eye. -- Andrea Wulf * Financial Times *\u003cbr\u003e[An] eccentrically brilliant book -- Steven Poole * Spectator *","brand":"Penguin Books Ltd","offers":[{"title":"Default Title","offer_id":48736151896407,"sku":"9780718199463","price":12.34,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780718199463.jpg?v=1723810533"},{"product_id":"the-discrete-mathematical-charms-of-paul-erdos-9781108927406","title":"The Discrete Mathematical Charms of Paul Erdos","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePaul Erdos published more papers during his lifetime than any other mathematician, especially in discrete mathematics. He had a nose for beautiful, simply-stated problems with solutions that have far-reaching consequences across mathematics. This captivating book, written for students, provides an easy-to-understand introduction to discrete mathematics by presenting questions that intrigued Erdos, along with his brilliant ways of working toward their answers. It includes young Erdos''s proof of Bertrand''s postulate, the Erdos-Szekeres Happy End Theorem, De Bruijn-Erdos theorem, Erdos-Rado delta-systems, Erdos-Ko-Rado theorem, Erdos-Stone theorem, the Erdos-Rényi-Sós Friendship Theorem, Erdos-Rényi random graphs, the Chvátal-Erdos theorem on Hamilton cycles, and other results of Erdos, as well as results related to his work, such as Ramsey''s theorem or Deza''s theorem on weak delta-systems. Its appendix covers topics normally missing from introductory courses. Filled with personal ane\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'Vašek Chvátal was born to write this one-of-a-kind book. Readers cannot help but be captivated by the evident love with which every page has been written. The human side of mathematics is intertwined beautifully with first-rate exposition of first-rate results.' Donald Knuth, Stanford University\u003cbr\u003e'This book is a treasure trove from so many viewpoints. It is a wonderful introduction and an alluring invitation to discrete mathematics - now a central field of mathematics identified mostly with the hero of this book. With lucid, carefully planned chapters on different topics it demonstrates the unique way in which Paul Erdős, one of the most prolific and influential mathematicians of the twentieth century, invented and approached problems. Sprinkled with historical and personal anecdotes and pictures, it opens a window to the unique personality of 'Uncle Paul'. And implicitly, it reveals the charming and candid way in which Vašek Chvátal, an authority in the field and a lifelong friend and collaborator of Erdős, likes to combine teaching and story-telling.' Avi Wigderson, IAS, Princeton\u003cbr\u003e'Paul Erdős is one of the founding fathers of modern combinatorics, whose ability to pose beautiful problems greatly determined the development of this field and influenced many other areas of mathematics. This book uses some basic questions, which intrigued Paul Erdős, to give a nice introduction to many topics in discrete mathematics. It contains a collection of beautiful results, covering such diverse subjects as discrete geometry, Ramsey theory, graph colorings, extremal problems for graphs and set systems and some others. It presents many elegant proofs and exposes the reader to various powerful combinatorial techniques.' Benjamin Sudakov, ETH Zurich\u003cbr\u003e'This is a brilliant book. It manages in one fell swoop to survey and develop a large part of combinatorial mathematics while at the same time chronicling the work of Paul Erdős. His contributions to different areas of mathematics are seen here to be part of a coherent whole. Chvátal's presentation is particularly appealing and accessible. The wonderful personal recollections add to the mathematical content to provide a portrait of Erdős' mind recognizable to those who knew him.' Bruce Rothschild, University of California, Los Angeles\u003cbr\u003e'Vašek Chvátal's book is a gem. Paul Erdős' favorite problems and best work are beautifully laid out. Readers unfamiliar with Erdős' work cannot fail to appreciate its power and elegance, and those who have seen bits and pieces will have the pleasure of seeing it thoughtfully and lovingly presented by a master. It's hard to imagine now, but there was a time when combinatorics was thought to be a jumble of results without depth or coherence. 'Uncle' Paul understood its heart and soul, and nowhere is this more evident than in Chvátal's wonderful compendium. This volume belongs on every math-lover's night-table!' Peter Winkler, Dartmouth College\u003cbr\u003e'Beautiful mathematics is presented with great care and clarity in Vašek Chvátal's book, complemented with well-written anecdotes and personal reminiscences about Paul Erdős. This combination makes the book a very enjoyable reading and a lively tribute to the memory of one of the most prolific mathematicians of all time. Studying discrete mathematics from this book is likely to give a great experience to students and established researchers alike.' Gábor Simonyi, Rényi Institute, Budapest\u003cbr\u003e'… Chvátal (emer., Concordia Univ.) has created a gem in this work and deserves congratulation … Highly recommended.' J. Johnson, Choice Magazine\u003cbr\u003e'This wonderfully written book is undoubtedly a significant contribution to the growing body of literature on the various developments in discrete mathematics over the last several decades. Still, to reduce it to only its mathematical dimension would be an act of injustice not only towards the book but also towards its author. The book is a powerful homage to Paul Erdos as one of the leading mathematicians of the twentieth century as well as a person who, with his unprecedented level of academic generosity and overall human kindness, was one of the pillars of the discrete mathematics community during his lifetime.' Veselin Jungic, MathSciNet\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eForeword; Preface; Acknowledgments; Introduction; 1. A glorious beginning – Bertrand's postulate; 2. Discrete geometry and spinoffs; 3. Ramsey's theorem; 4. Delta-systems; 5. Extremal set theory; 6. Van der Waerden's theorem; 7. Extremal graph theory; 8. The friendship theorem; 9. Chromatic number; 10. Thresholds of graph properties ; 11. Hamilton cycles; Appendix A. A few tricks of the trade; Appendix B. Definitions, terminology, notation; Appendix C. More on Erdős; References; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738345419095,"sku":"9781108927406","price":24.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781108927406.jpg?v=1723811956"},{"product_id":"notes-on-the-browndouglasfillmore-theorem-9781316519301","title":"Notes on the BrownDouglasFillmore Theorem","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eSuitable for both postgraduate students and researchers in the field of operator theory, this book is an excellent resource providing the complete proof of the Brown-Douglas-Fillmore theorem. The book starts with a rapid introduction to the standard preparatory material in basic operator theory taught at the first year graduate level course. To quickly get to the main points of the proof of the theorem, several topics that aid in the understanding of the proof are included in the appendices. These topics serve the purpose of providing familiarity with a large variety of tools used in the proof and adds to the flexibility of reading them independently.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface; Overview; 1. Spectral Theory for Hilbert Space Operators; 2. Ext(X) as a Semigroup with Identity; 3. Splitting and the Mayer-Vietoris Sequence; 4. Determination of Ext(X); 5. Applications to Operator Theory; 6. Epilogue; Appendix A. Point Set Topology; Appendix B. Linear Analysis; Appendix C. The Spectral Theorem; Subject Index; Index of Symbols; References.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738562572631,"sku":"9781316519301","price":90.25,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781316519301.jpg?v=1720049478"},{"product_id":"a-brief-history-of-mathematical-thought-9781472117113","title":"A Brief History of Mathematical Thought","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eMathematics is a product of human culture which has developed along with our attempts to comprehend the world around us. In \u003ci\u003eA Brief History of Mathematical Thought\u003c\/i\u003e, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story.\u003cbr\u003e\u003cbr\u003eThe book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations.  \u003cbr\u003e\u003cbr\u003eIn the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He\u003c\/p\u003e","brand":"Little, Brown Book Group","offers":[{"title":"Default Title","offer_id":48739365060951,"sku":"9781472117113","price":10.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781472117113.jpg?v=1720052031"},{"product_id":"the-flawed-genius-of-william-playfair-9781487545031","title":"The Flawed Genius of William Playfair","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book shares the life story of William Playfair, the father of statistical graphics, who experienced extreme ups and downs in his various careers, including as a statistician, economist, and fraudster.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface: Playfair Is Introduced    1. Playfair Is Sent to Newgate Prison  2. Playfair Goes to Birmingham to Work for Boulton and Watt  3. Playfair Goes to London to Set Up His Own Business  4. Playfair Evolves into a Writer by Profession  5. Playfair Expresses His Early Political Views 6. Playfair Makes His Mark on Statistical Graphics  7. Playfair Goes to Paris  8. Playfair Tries to Take Advantage of the French Revolution  9. Playfair Escapes from France and Returns to England  10. Playfair Becomes an Avid Anti-Jacobin Propagandist  11. Playfair Gets Involved with Forged Assignats  12. Playfair Starts a Bank and Goes Bankrupt  13. Playfair Ekes Out a Living as a Bankrupt  14. Playfair Has a Good Year during 1805 with Hints of Ending Badly  15. Playfair Has Serious Legal and Other Problems  16. Playfair Dabbles Deeply into Family History and Political Biography  17. Playfair Continues Writing and Tries a Few More Scams to Get to Paris  18. Playfair Returns to Paris  19. Playfair Spends His Last Few Years in England in Poverty    Afterword: Playfair Avoids a Shakespearean Epitaph    Appendix: Assignat Forging by French Emigres in England    Notes  Index","brand":"University of Toronto Press","offers":[{"title":"Default Title","offer_id":48739692216663,"sku":"9781487545031","price":38.7,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781487545031.jpg?v=1723812256"},{"product_id":"50-maths-ideas-you-really-need-to-know-9781529425154","title":"50 Maths Ideas You Really Need to Know","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cbr\u003e\u003cb\u003eIn a series of 50 accessible essays, Tony Crilly explains and introduces the mathematical laws and principles - ancient and modern, theoretical and practical, everyday and esoteric - that allow us to understand the world around us.\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eFrom Pascal's triangle to money management, ideas of relativity to the very real uses of imaginary numbers, \u003ci\u003e50 Maths Ideas \u003c\/i\u003eis a complete introduction to the most important mathematical concepts in history.\u003c\/p\u003e","brand":"Quercus Publishing","offers":[{"title":"Default Title","offer_id":48740288069975,"sku":"9781529425154","price":9.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781529425154.jpg?v=1720054323"},{"product_id":"the-maths-handbook-everyday-maths-made-simple-9781782069454","title":"The Maths Handbook: Everyday Maths Made Simple","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis is the perfect introduction for those who have a lingering fear of maths. If you think that maths is difficult, confusing, dull or just plain scary, then \u003ci\u003eThe Maths Handbook\u003c\/i\u003e is your ideal companion. \u003cbr\u003e\u003cbr\u003eCovering all the basics including fractions, equations, primes, squares and square roots, geometry and fractals, Dr Richard Elwes will lead you gently towards a greater understanding of this fascinating subject. Even apparently daunting concepts are explained simply, with the assistance of useful diagrams, and with a refreshing lack of jargon. \u003cbr\u003e\u003cbr\u003eSo whether you're an adult or a student, whether you like Sudoku but hate doing sums, or whether you've always been daunted by numbers at work, school or in everyday life, you won't find a better way of overcoming your nervousness about numbers and learning to enjoy making the most of mathematics.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'Elwes takes the key concepts, perfectly illustrates them with practical examples and easy-to-follow explanations, tests us with quizzes, and applies the principles to everyday situations. The effect is strangely liberating, and you might soon find yourself acquiring a love of logarithms and a respect for reflex quadrilaterals' \u003ci\u003eGood Book Guide\u003c\/i\u003e. * Good Book Guide *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.  The language of mathematics.  Addition.  Subtraction.  Multiplication.  Division.  Primes, factors and multiples.  Negative numbers and the number line.  Decimals.  Fractions.  Arithmetic with fractions.  Powers.  The power of 10.  Roots and logs.  Percentages and proportions.  Algebra.  Equations.  Angles.  Triangles.  Circles.  Area and volume.  Polygons and solids.  Pythagoras' theorem.  Trigonometry.  Coordinates.  Graphs.  Statistics.  Probability.  Charts.  Answers to quizzes.  Index.","brand":"Quercus Publishing","offers":[{"title":"Default Title","offer_id":48741106418007,"sku":"9781782069454","price":10.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781782069454.jpg?v=1720056595"},{"product_id":"how-big-is-infinity-the-20-big-maths-questions-9781782069485","title":"How Big is Infinity?: The 20 Big Maths Questions","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWhat are the strangest numbers? Where do numbers come from? Can maths guarantee riches? Why are three dimensions not enough? Can a butterfly's wings really cause a hurricane? Can maths predict the future? In How Big is Infinity?, acclaimed writer Tony Crilly distills the wisdom of some of the greatest minds in history to help provide answers some of the most perplexing, stimulating and surprising questions in mathematics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.  What is mathematics for? - An introduction to purposes and prospects.  Where do numbers come from? - From notches on bones to hexadecimals.  Why are primes the atoms of mathematics? - Building blocks and the fundamental theorem of arithmetic.  Which are the strangest numbers? - Real, irrational and transcendental numbers.  Are imaginary numbers truly imaginary? - From the imaginary 'I' to octonions.  How big is infinity? - Set theory and the infinity revolution.  Where do parallel lines meet? - The birth of new geometries.  What is the mathematics of the universe? - The Calculus miracle.  Are statistics lies? - Data, proof and 'damned lies'.  Can mathematics guarantee riches? - Uncertainty, chance and probability theory.  Is there a formula for everything? - Mathematical recipes and the search for knowledge.  Why are three dimensions not enough? - Higher dimensions, monster curves and fractals.  Can a butterfly's wings really cause a hurricane? - Chaos theory, weather equations and strange attractors.  Can we create an unbreakable code? - Ciphers, the Enigma machine and quantum computers.  Is mathematics beautiful? - Music, art, golden numbers and the Fibonacci sequence.  Can mathematics predict the future? - Mathematical models, simulations and game theory.  What shape is the universe? - Topology, manifolds and the Poincare conjecture.  What is symmetry? - Patterns, dualities and the fundamental nature of reality.  Is mathematics true? - From Plato's reality to Godel's incompleteness theorems.  Is there anything left to solve? - The great unsolved problems and the future of mathematics.  Glossary.  Index.","brand":"Quercus Publishing","offers":[{"title":"Default Title","offer_id":48741106843991,"sku":"9781782069485","price":10.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781782069485.jpg?v=1720056595"},{"product_id":"science-scientists-in-berlin-a-guidebook-to-historical-sites-in-the-city-and-surroundings-9781803132723","title":"Science \u0026 Scientists in Berlin. A Guidebook to","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cem\u003eScience \u0026amp; Scientists in Berlin \u003c\/em\u003eis a richly illustrated guidebook providing informative biographies of 22 major scientists and 11 mathematicians linked to the metropolis, from polymath Gottfried W. Leibniz (b. 1646) to computer inventor Konrad Zuse (d. 1995). As well as renowned figures like Albert Einstein, the book includes scientists who deserve to be better known, such as flight pioneer Otto Lilienthal. Their world-changing achievements are described in a lively and accessible style.\u003cem\u003e\u003cbr\u003e \u003c\/em\u003e \u003cem\u003e\u003cbr\u003e \u003c\/em\u003eFollow in the footsteps of the protagonists using the comprehensive gazetteer and 18 colour maps which guide you to almost 200 sites associated with their lives: such as plaques, monuments, laboratories, museums, residences \u0026amp; graves.\u003cem\u003e\u003cbr\u003e \u003c\/em\u003e \u003cem\u003e\u003cbr\u003e \u003c\/em\u003eAnyone who is interested in both science and Berlin’s history, and who wants to learn about the people who created this unique past and experience the places where it comes alive, needs a guidebook like this…\u003c\/p\u003e","brand":"Troubador Publishing","offers":[{"title":"Default Title","offer_id":48741843861847,"sku":"9781803132723","price":15.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781803132723.jpg?v=1720059017"},{"product_id":"metamaths-9781843545255","title":"Metamaths","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eOne of the world's greatest mathematicians explains his revolutionary hypothesis about the enigma at the heart of maths: omega. \u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003e'Chaitin comes across as a kind of mathematical Richard Feynman, intuitive and high-spirited, irreverent and plain-spoken.' -- Peter Pesic, \u003ci\u003eTLS\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003ci\u003eMeta Maths\u003c\/i\u003e is Gregory Chaitin's exuberant account of his discovery of 'omega': the infinitely long, exquisitely complex and utterly incalculable representation of randomness and unknowability in mathematics. From Euclid to Gödel to Turing, Chaitin's infectious narrative guides us on a spellbinding journey through the historical advances in maths and science that led to his breakthrough discovery. Once there he takes us further, to the very frontiers of scientific thinking. \u003ci\u003eMeta Maths\u003c\/i\u003e shows that mathematics is as much art form as logic, as much science as pure reasoning, and sheds light on what we can ultimately hope to know about the universe and the very nature of life.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003ci\u003eMeta Maths\u003c\/i\u003e is truly idiosyncratic. Informal, chatty and cerebral... it mixes mathematics with Chaitin's outlook on life and philosophy... Great fun. -- Alan Cane * Financial Times *","brand":"Atlantic Books","offers":[{"title":"Default Title","offer_id":48742085460311,"sku":"9781843545255","price":16.19,"currency_code":"GBP","in_stock":false}]},{"product_id":"50-maths-ideas-you-really-need-to-know-9781848667051","title":"50 Maths Ideas You Really Need to Know","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eWho invented zero? Why 60 seconds in a minute? How big is infinity? Where do parallel lines meet? And can a butterfly's wings really cause a storm on the far side of the world? \u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eIn \u003ci\u003e50 Maths Ideas You Really Need to Know\u003c\/i\u003e, Professor Tony Crilly explains in 50 clear and concise essays the mathematical concepts - ancient and modern, theoretical and practical, everyday and esoteric - that allow us to understand and shape the world around us. \u003cbr\u003e\u003cbr\u003ePacked with diagrams, examples and anecdotes, this book is the perfect overview of this often daunting but always essential subject. For once, mathematics couldn't be simpler. \u003cbr\u003e\u003cbr\u003e\u003cb\u003eContents include:\u003c\/b\u003e Origins of mathematics, from Egyptian fractions to Roman numerals; Pi and primes, Fibonacci numbers and the golden ratio; What calculus, statistics and algebra can actually do; The very real uses of imaginary numbers; The Big Ideas of relativity, Chaos theory, Fractals, Genetics and hyperspace; The reasoning behind Sudoku and code cracking, Lotteries and gambling, Money management and compound interest; Solving of Fermat's last theorem and the million-dollar question of the Riemann hypothesis.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.  Zero.  Number systems.  Fractions.  Squares and square roots.  Pi e.  Infinity.  Imaginary numbers.  Primes.  Perfect numbers.  Fibonacci numbers.  Golden rectangles.  Pascal's triangle.  Algebra.  Euclid's algorithm.  Logic.  Proof.  Sets.  Calculus.  Constructions.  Triangles.  Curves.  Topology.  Dimension.  Fractals.  Chaos.  The parallel postulate.  Discrete geometry.  Graphs.  The four-colour problem.  Probability.  Bayes's theory.  The birthday problem.  Distributions.  The normal curve.  Connecting data.  Genetics.  Groups.  Matrices.  Codes.  Advanced counting.  Magic squares.  Latin squares.  Money mathematics.  The diet problem.  The travelling salesperson.  Game theory.  Relativity.  Fermat's last theorem.  The Riemann hypothesis.  Glossary.  Index.","brand":"Quercus Publishing","offers":[{"title":"Default Title","offer_id":48742257885527,"sku":"9781848667051","price":13.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781848667051.jpg?v=1720060665"},{"product_id":"mathematical-adventures-9781907550201","title":"Mathematical Adventures","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Tarquin Publications","offers":[{"title":"Default Title","offer_id":48742488932695,"sku":"9781907550201","price":11.16,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781907550201.jpg?v=1720061605"},{"product_id":"understand-mathematics-understand-computing-discrete-mathematics-that-all-computing-students-should-know-9783030583750","title":"Understand Mathematics, Understand Computing:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn this book the authors aim to endow the reader with an operational, conceptual, and methodological understanding of the discrete mathematics that can be used to study, understand, and perform computing. They want the reader to understand the elements of computing, rather than just know them. The basic topics are presented in a way that encourages readers to develop their personal way of thinking about mathematics. Many topics are developed at several levels, in a single voice, with sample applications from within the world of computing. Extensive historical and cultural asides emphasize the human side of mathematics and mathematicians.\u003cbr\u003eBy means of lessons and exercises on “doing” mathematics, the book prepares interested readers to develop new concepts and invent new techniques and technologies that will enhance all aspects of computing. The book will be of value to students, scientists, and engineers engaged in the design and use of computing systems, and to scholars and practitioners beyond these technical fields who want to learn and apply novel computational ideas.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“The text is written in an easy to read format which generously incorporates narratives from the history of mathematics as well as rigorous proofs of the concepts presented. The appendices and references to other texts provide the reader with numerous sources of supplementary information for those wishing to delve into a subject at a deeper level … . chapters are organized and clearly labeled to express which sections are appropriate for a beginning learner, an intermediate learner, or the specialist.” (Tom French, MAA Reviews, October 3, 2021)\u003cbr\u003e\u003cbr\u003e“Each chapter comes with several exercises from easy to difficult, the latter with complete solutions in the appendix. To accommodate the book to readers with different backgrounds and goals, the authors provide a guide which gives paths through the book for several courses. The exposition is always clear and motivating, no prerequisites are presumed, all terms and concepts are defined precisely, and there are many look-and-see proofs.” (Dieter Riebesehl, zbMATH 1465.68004, 2021)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.- “Doing” Mathematics: A Toolkit for Mathematical Reasoning.- Sets and Their Algebras: The Stem Cells of Mathematics.- Numbers I: The Basics of Our Number System.- Arithmetic: Putting Numbers to Work.- Summations: Complex Operations from Simple Components.- The Vertigo of Infinity: Handling the Very Large and the Infinite.- Numbers II: Building the Integers and Building with the Integers.- Recurrences: Rendering Complex Structure Manageable.- Numbers III: Operational Representations and Their Consequences.- The Art of Counting: Combinatorics, Probability, and Statistics.- Graphs I: Representing Relationships Mathematically.- Graphs II: Graphs Within Computation and Communication.- Solutions to Exercises.- App. A, Pairing Functions.- App. B, A Deeper Look at the Fibonacci Numbers.- App. C, Two Recurrence-Defined Number Families.- App. D, Signed-Digit Numerals: Carry-Free Addition.- App. E, The Diverse Delights of de Bruijn Networks.- List of Symbols.- References.- Index.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743041237335,"sku":"9783030583750","price":67.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030583750.jpg?v=1720063853"},{"product_id":"a-brief-history-of-mathematics-a-promenade-through-the-civilizations-of-our-world-9783031268403","title":"A Brief History of Mathematics: A Promenade","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis volume, originally published in China and translated into four other languages, presents a fascinating and unique account of the history of mathematics, divided into eight chronologically organized chapters. Tracing the development of mathematics across disparate regions and peoples, with particular emphasis on the relationship between mathematics and civilization, it examines mathematical sources and inspirations leading from Egypt, Babylon and ancient Greece and expanding to include Chinese, Indian and Arabic mathematics, the European Renaissance and the French revolution up through the Nineteenth and Twentieth Centuries. Each chapter explores connections among mathematics and cultural elements of the time and place treated, accompanying the reader in a varied and exciting journey through human civilizations. The book contemplates the intersections of mathematics with other disciplines, including the relationship between modern mathematics and modern art, and the resulting applications, with the aid of images and photographs, often taken by the author, which further enhance the enjoyment for the reader.  \u003cbr\u003eWritten for a general audience, this book will be of interest to anyone who's studied mathematics in university or even high school, while also benefiting researchers in mathematics and the humanities. \u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. The Middle East, or the Beginning.- 2. The Sages of Ancient Greece.- 3. The Chinese Middle Ages.- 4. India and Persia.- 5. From the Renaissance to the Birth of Calculus.- 6. The Age of Analysis and the French Revolution.- 7. Modern Mathematics, Modern Art.- 8. Abstraction: Mathematics Since the Twentieth Century.","brand":"Birkhauser Verlag AG","offers":[{"title":"Default Title","offer_id":48743077970263,"sku":"9783031268403","price":28.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031268403.jpg?v=1720064014"},{"product_id":"mathematical-statistics-essays-on-history-and-methodology-9783642310836","title":"Mathematical Statistics: Essays on History and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of their real-world relevance. Questions concerning the optimality of estimators, for instance, had remained unanswered for decades, because a meaningful concept of optimality (based on the regularity of the estimators, the representation of their limit distribution and assertions about their concentration by means of Anderson’s Theorem) was not yet available. The rapidly developing asymptotic theory provided approximate answers to questions for which non-asymptotic theory had found no satisfying solutions. In four engaging essays, this book presents a detailed description of how the use of mathematical methods stimulated the development of a statistical theory. Primarily focused on methodology, questionable proofs and neglected questions of priority, the book offers an intriguing resource for researchers in theoretical statistics, and can also serve as a textbook for advanced courses in statisticc.\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.- Sufficiency.- Descriptive Statistics.- Optimality of unbiased estimators: nonasymptotic theory.- Asymptotic optimality of estimators.- Bibliography.- Index.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743134953815,"sku":"9783642310836","price":113.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"oliver-byrne-the-first-six-books-of-the-elements-of-euclid-9783836577380","title":"Oliver Byrne. The First Six Books of the Elements","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eNearly a century before Mondrian made geometrical red, yellow, and blue lines famous, 19th-century mathematician \u003cstrong\u003eOliver Byrne\u003c\/strong\u003e employed the color scheme for his 1847 edition of Euclid’s \u003cstrong\u003emathematical and geometric treatise \u003cem\u003eElements\u003c\/em\u003e.\u003c\/strong\u003e Byrne’s idea was to use color to make learning easier and “diffuse permanent knowledge.” The result has been described as \u003cstrong\u003eone of the oddest and most beautiful books of the 19th century\u003c\/strong\u003e.\u003cbr\u003e \u003cbr\u003e The facsimile of Byrne’s seminal publication is now available in a beautiful new edition. A \u003cstrong\u003emasterwork of art and science\u003c\/strong\u003e, it is as remarkable in the boldness of its red, yellow, and blue figures and diagrams as it is in the mathematical precision of its theories. In the simplicity of forms and colors, the pages anticipate the vigor of \u003cstrong\u003eDe Stijl and Bauhaus \u003c\/strong\u003edesign. In making complex information at once accessible and aesthetically engaging, this work is a \u003cstrong\u003eforerunner to the information graphics \u003c\/strong\u003ethat today define much of our data consumption.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“Every graphic designer, book lover and math nerd will be awestruck.” * The New York Times *","brand":"Taschen GmbH","offers":[{"title":"Default Title","offer_id":48743160217943,"sku":"9783836577380","price":38.0,"currency_code":"GBP","in_stock":true}]},{"product_id":"mathematics-its-historical-aspects-wonders-and-beyond-9789811249334","title":"Mathematics: Its Historical Aspects, Wonders And","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWhenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743283523927,"sku":"9789811249334","price":42.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789811249334.jpg?v=1720064916"},{"product_id":"fermats-last-theorem-9780008553821","title":"Fermats Last Theorem","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIntroducing the Collins Modern Classics, a series featuring some of the most significant books of recent times, books that shed light on the human experience  classics which will endure for generations to come.Maths is one of the purest forms of thought, and to outsiders mathematicians may seem almost otherworldly'In 1963, schoolboy Andrew Wiles stumbled across the world's greatest mathematical problem: Fermat's Last Theorem. Unsolved for over 300 years, he dreamed of cracking it.Combining thrilling storytelling with a fascinating history of scientific discovery, Simon Singh uncovers how an Englishman, after years of secret toil, finally solved mathematics' most challenging problem.Fermat's Last Theorem is remarkable story of human endeavour, obsession and intellectual brilliance, sealing its reputation as a classic of popular science writing.To read it is to realise that there is a world of beauty and intellectual challenge that is denied to 99.9 per cent of us who are not high-level mathematicians'The Times\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e‘This is probably \u003cstrong\u003ethe best popular account of a scientific topic I have ever read\u003c\/strong\u003e’ \u003cem\u003eIrish Times\u003c\/em\u003e\u003c\/p\u003e           \u003cp\u003e‘Reads like the chronicle of an obsessive love affair. \u003cstrong\u003eIt has the classic ingredients that Hollywood would recognise\u003c\/strong\u003e’ \u003cem\u003eDaily Mail\u003c\/em\u003e\u003c\/p\u003e           \u003cp\u003e‘To read it is to realise that \u003cstrong\u003ethere is a world of beauty and intellectual challenge that is denied to 99.9 per cent of us who are not high-level mathematicians\u003c\/strong\u003e’ \u003cem\u003eThe Times\u003c\/em\u003e\u003c\/p\u003e           \u003cp\u003e‘This tale has all the elements of a \u003cstrong\u003emost exciting\u003c\/strong\u003e story: \u003cstrong\u003ean impenetrable riddle; the ambition and frustration of generations of hopefuls; and the genius who worked for years in secrecy to realise his childhood dream\u003c\/strong\u003e’ \u003cem\u003eExpress\u003c\/em\u003e\u003c\/p\u003e","brand":"HarperCollins Publishers","offers":[{"title":"Default Title","offer_id":48864019448151,"sku":"9780008553821","price":9.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780008553821.jpg?v=1722270013"},{"product_id":"turings-cathedral-9780141015903","title":"Turings Cathedral","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eGeorge Dyson''s fascinating account of the early years of computers: \u003ci\u003eTuring''s Cathedral\u003c\/i\u003e is the story behind how the PC, ipod, smartphone and almost every aspect of modern life came into being.\u003cbr\u003e\u003cbr\u003eIn 1945 a small group of brilliant engineers and mathematicians gathered at the Institute for Advanced Study in Princeton, determined to build a computer that would make Alan Turing''s theory of a ''universal machine'' reality. Led by the polymath émigré John von Neumann, they created the numerical framework that underpins almost all modern computing - and ensured that the world would never be the same again.\u003cbr\u003e\u003cbr\u003eGeorge Dyson is a historian of technology whose interests include the development (and redevelopment) of the Aleut kayak. He is the author of \u003ci\u003eBaidarka; Project Orion\u003c\/i\u003e; and \u003ci\u003eDarwin Among the Machines\u003c\/i\u003e.\u003cbr\u003e\u003cbr\u003e''Unusual, wonderful, visionary'' Francis Spufford, \u003ci\u003eGuardian\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e''Fascinating . . . the story Dyson tells is intensely human . . . a grippi\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eRiveting . . . conveys the electrifying sense of possibility that the first computers unleashed . . . a page-turner * New Scientist *\u003cbr\u003eBrings to life a myriad cast of extraordinary characters, each of whom contributed to ushering in today's digital age * Daily Telegraph *\u003cbr\u003eAn engrossing and well-researched book that recounts an important chapter in the history of 20th-century computing -- Evgeny Morozov * Observer *\u003c\/p\u003e","brand":"Penguin Books Ltd","offers":[{"title":"Default Title","offer_id":48864180896087,"sku":"9780141015903","price":12.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780141015903.jpg?v=1722270772"},{"product_id":"a-history-of-mathematics-9780470525487","title":"A History of Mathematics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe updated new edition of the classic and comprehensive guide to the history of mathematics    For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind   s relationship with numbers, shapes, and patterns.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"... the book is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.\" (\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 2016)\u003c\/p\u003e \u003cp\u003e\"... an 'engaging' read for the mathematically minded.\" (\u003ci\u003eInside OR\u003c\/i\u003e, June 2011)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eForeword by Isaac Asimov xi\u003c\/p\u003e \u003cp\u003ePreface to the Third Edition xiii\u003c\/p\u003e \u003cp\u003ePreface to the Second Edition xv\u003c\/p\u003e \u003cp\u003ePreface to the First Edition xvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Traces 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eConcepts and Relationships 1\u003c\/p\u003e \u003cp\u003eEarly Number Bases 3\u003c\/p\u003e \u003cp\u003eNumber Language and Counting 5\u003c\/p\u003e \u003cp\u003eSpatial Relationships 6\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Ancient Egypt 8\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Era and the Sources 8\u003c\/p\u003e \u003cp\u003eNumbers and Fractions 10\u003c\/p\u003e \u003cp\u003eArithmetic Operations 12\u003c\/p\u003e \u003cp\u003e“Heap” Problems 13\u003c\/p\u003e \u003cp\u003eGeometric Problems 14\u003c\/p\u003e \u003cp\u003eSlope Problems 18\u003c\/p\u003e \u003cp\u003eArithmetic Pragmatism 19\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Mesopotamia 21\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Era and the Sources 21\u003c\/p\u003e \u003cp\u003eCuneiform Writing 22\u003c\/p\u003e \u003cp\u003eNumbers and Fractions: Sexagesimals 23\u003c\/p\u003e \u003cp\u003ePositional Numeration 23\u003c\/p\u003e \u003cp\u003eSexagesimal Fractions 25\u003c\/p\u003e \u003cp\u003eApproximations 25\u003c\/p\u003e \u003cp\u003eTables 26\u003c\/p\u003e \u003cp\u003eEquations 28\u003c\/p\u003e \u003cp\u003eMeasurements: Pythagorean Triads 31\u003c\/p\u003e \u003cp\u003e Polygonal Areas 35\u003c\/p\u003e \u003cp\u003eGeometry as Applied Arithmetic 36\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Hellenic Traditions 40\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Era and the Sources 40\u003c\/p\u003e \u003cp\u003eThales and Pythagoras 42\u003c\/p\u003e \u003cp\u003eNumeration 52\u003c\/p\u003e \u003cp\u003eArithmetic and Logistic 55\u003c\/p\u003e \u003cp\u003eFifth-Century Athens 56\u003c\/p\u003e \u003cp\u003eThree Classical Problems 57\u003c\/p\u003e \u003cp\u003eQuadrature of Lunes 58\u003c\/p\u003e \u003cp\u003eHippias of Elis 61\u003c\/p\u003e \u003cp\u003ePhilolaus and Archytas of Tarentum 63\u003c\/p\u003e \u003cp\u003eIncommensurability 65\u003c\/p\u003e \u003cp\u003eParadoxes of Zeno 67\u003c\/p\u003e \u003cp\u003eDeductive Reasoning 70\u003c\/p\u003e \u003cp\u003eDemocritus of Abdera 72\u003c\/p\u003e \u003cp\u003eMathematics and the Liberal Arts 74\u003c\/p\u003e \u003cp\u003eThe Academy 74\u003c\/p\u003e \u003cp\u003eAristotle 88\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Euclid of Alexandria 90\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAlexandria 90\u003c\/p\u003e \u003cp\u003eLost Works 91\u003c\/p\u003e \u003cp\u003eExtant Works 91\u003c\/p\u003e \u003cp\u003eThe Elements 93\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Archimedes of Syracuse 109\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Siege of Syracuse 109\u003c\/p\u003e \u003cp\u003eOn the Equilibriums of Planes 110\u003c\/p\u003e \u003cp\u003eOn Floating Bodies 111\u003c\/p\u003e \u003cp\u003eThe Sand-Reckoner 112\u003c\/p\u003e \u003cp\u003eMeasurement of the Circle 113\u003c\/p\u003e \u003cp\u003eOn Spirals 113\u003c\/p\u003e \u003cp\u003eQuadrature of the Parabola 115\u003c\/p\u003e \u003cp\u003eOn Conoids and Spheroids 116\u003c\/p\u003e \u003cp\u003eOn the Sphere and Cylinder 118\u003c\/p\u003e \u003cp\u003eBook of Lemmas 120\u003c\/p\u003e \u003cp\u003eSemiregular Solids and Trigonometry 121\u003c\/p\u003e \u003cp\u003eThe Method 122\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Apollonius of Perge 127\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eWorks and Tradition 127\u003c\/p\u003e \u003cp\u003eLost Works 128\u003c\/p\u003e \u003cp\u003eCycles and Epicycles 129\u003c\/p\u003e \u003cp\u003eThe Conics 130\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Crosscurrents 142\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChanging Trends 142\u003c\/p\u003e \u003cp\u003eEratosthenes 143\u003c\/p\u003e \u003cp\u003eAngles and Chords 144\u003c\/p\u003e \u003cp\u003ePtolemy’s Almagest 149\u003c\/p\u003e \u003cp\u003eHeron of Alexandria 156\u003c\/p\u003e \u003cp\u003eThe Decline of Greek Mathematics 159\u003c\/p\u003e \u003cp\u003eNicomachus of Gerasa 159\u003c\/p\u003e \u003cp\u003eDiophantus of Alexandria 160\u003c\/p\u003e \u003cp\u003ePappus of Alexandria 164\u003c\/p\u003e \u003cp\u003eThe End of Alexandrian Dominance 170\u003c\/p\u003e \u003cp\u003eProclus of Alexandria 171\u003c\/p\u003e \u003cp\u003eBoethius 171\u003c\/p\u003e \u003cp\u003eAthenian Fragments 172\u003c\/p\u003e \u003cp\u003eByzantine Mathematicians 173\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Ancient and Medieval China 175\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Oldest Known Texts 175\u003c\/p\u003e \u003cp\u003eThe Nine Chapters 176\u003c\/p\u003e \u003cp\u003eRod Numerals 177\u003c\/p\u003e \u003cp\u003eThe Abacus and Decimal Fractions 178\u003c\/p\u003e \u003cp\u003eValues of Pi 180\u003c\/p\u003e \u003cp\u003eThirteenth-Century Mathematics 182\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Ancient and Medieval India 186\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eEarly Mathematics in India 186\u003c\/p\u003e \u003cp\u003eThe Sulbasutras 187\u003c\/p\u003e \u003cp\u003eThe Siddhantas 188\u003c\/p\u003e \u003cp\u003eAryabhata 189\u003c\/p\u003e \u003cp\u003eNumerals 191\u003c\/p\u003e \u003cp\u003eTrigonometry 193\u003c\/p\u003e \u003cp\u003eMultiplication 194\u003c\/p\u003e \u003cp\u003eLong Division 195\u003c\/p\u003e \u003cp\u003eBrahmagupta 197\u003c\/p\u003e \u003cp\u003eIndeterminate Equations 199\u003c\/p\u003e \u003cp\u003eBhaskara 200\u003c\/p\u003e \u003cp\u003eMadhava and the Keralese School 202\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 The Islamic Hegemony 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eArabic Conquests 203\u003c\/p\u003e \u003cp\u003eThe House of Wisdom 205\u003c\/p\u003e \u003cp\u003eAl-Khwarizmi 206\u003c\/p\u003e \u003cp\u003e‘Abd Al-Hamid ibn-Turk 212\u003c\/p\u003e \u003cp\u003eThabit ibn-Qurra 213\u003c\/p\u003e \u003cp\u003eNumerals 214\u003c\/p\u003e \u003cp\u003eTrigonometry 216\u003c\/p\u003e \u003cp\u003eTenth- and Eleventh-Century Highlights 216\u003c\/p\u003e \u003cp\u003eOmar Khayyam 218\u003c\/p\u003e \u003cp\u003eThe Parallel Postulate 220\u003c\/p\u003e \u003cp\u003eNasir al-Din al-Tusi 220\u003c\/p\u003e \u003cp\u003eAl-Kashi 221\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 The Latin West 223\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction 223\u003c\/p\u003e \u003cp\u003eCompendia of the Dark Ages 224\u003c\/p\u003e \u003cp\u003eGerbert 224\u003c\/p\u003e \u003cp\u003eThe Century of Translation 226\u003c\/p\u003e \u003cp\u003e Abacists and Algorists 227\u003c\/p\u003e \u003cp\u003eFibonacci 229\u003c\/p\u003e \u003cp\u003eJordanus Nemorarius 232\u003c\/p\u003e \u003cp\u003eCampanus of Novara 233\u003c\/p\u003e \u003cp\u003eLearning in the Thirteenth Century 235\u003c\/p\u003e \u003cp\u003eArchimedes Revived 235\u003c\/p\u003e \u003cp\u003eMedieval Kinematics 236\u003c\/p\u003e \u003cp\u003eThomas Bradwardine 236\u003c\/p\u003e \u003cp\u003eNicole Oresme 238\u003c\/p\u003e \u003cp\u003eThe Latitude of Forms 239\u003c\/p\u003e \u003cp\u003eInfinite Series 241\u003c\/p\u003e \u003cp\u003eLevi ben Gerson 242\u003c\/p\u003e \u003cp\u003eNicholas of Cusa 243\u003c\/p\u003e \u003cp\u003eThe Decline of Medieval Learning 243\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 The European Renaissance 245\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eOverview 245\u003c\/p\u003e \u003cp\u003eRegiomontanus 246\u003c\/p\u003e \u003cp\u003eNicolas Chuquet’s Triparty 249\u003c\/p\u003e \u003cp\u003eLuca Pacioli’s Summa 251\u003c\/p\u003e \u003cp\u003eGerman Algebras and Arithmetics 253\u003c\/p\u003e \u003cp\u003eCardan’s Ars Magna 255\u003c\/p\u003e \u003cp\u003eRafael Bombelli 260\u003c\/p\u003e \u003cp\u003eRobert Recorde 262\u003c\/p\u003e \u003cp\u003eTrigonometry 263\u003c\/p\u003e \u003cp\u003eGeometry 264\u003c\/p\u003e \u003cp\u003eRenaissance Trends 271\u003c\/p\u003e \u003cp\u003eFrançois Viète 273\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Early Modern Problem Solvers 282\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAccessibility of Computation 282\u003c\/p\u003e \u003cp\u003eDecimal Fractions 283\u003c\/p\u003e \u003cp\u003eNotation 285\u003c\/p\u003e \u003cp\u003eLogarithms 286\u003c\/p\u003e \u003cp\u003eMathematical Instruments 290\u003c\/p\u003e \u003cp\u003eInfinitesimal Methods: Stevin 296\u003c\/p\u003e \u003cp\u003eJohannes Kepler 296\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Analysis, Synthesis, the Infinite, and Numbers 300\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eGalileo’s Two New Sciences 300\u003c\/p\u003e \u003cp\u003eBonaventura Cavalieri 303\u003c\/p\u003e \u003cp\u003eEvangelista Torricelli 306\u003c\/p\u003e \u003cp\u003eMersenne’s Communicants 308\u003c\/p\u003e \u003cp\u003eRené Descartes 309\u003c\/p\u003e \u003cp\u003eFermat’s Loci 320\u003c\/p\u003e \u003cp\u003eGregory of St. Vincent 325\u003c\/p\u003e \u003cp\u003eThe Theory of Numbers 326\u003c\/p\u003e \u003cp\u003eGilles Persone de Roberval 329\u003c\/p\u003e \u003cp\u003eGirard Desargues and Projective Geometry 330\u003c\/p\u003e \u003cp\u003eBlaise Pascal 332\u003c\/p\u003e \u003cp\u003ePhilippe de Lahire 337\u003c\/p\u003e \u003cp\u003eGeorg Mohr 338\u003c\/p\u003e \u003cp\u003ePietro Mengoli 338\u003c\/p\u003e \u003cp\u003eFrans van Schooten 339\u003c\/p\u003e \u003cp\u003eJan de Witt 340\u003c\/p\u003e \u003cp\u003eJohann Hudde 341\u003c\/p\u003e \u003cp\u003eRené François de Sluse 342\u003c\/p\u003e \u003cp\u003eChristiaan Huygens 342\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 British Techniques and Continental Methods 348\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eJohn Wallis 348\u003c\/p\u003e \u003cp\u003eJames Gregory 353\u003c\/p\u003e \u003cp\u003eNicolaus Mercator and William Brouncker 355\u003c\/p\u003e \u003cp\u003eBarrow’s Method of Tangents 356\u003c\/p\u003e \u003cp\u003eNewton 358\u003c\/p\u003e \u003cp\u003eAbraham De Moivre 372\u003c\/p\u003e \u003cp\u003eRoger Cotes 375\u003c\/p\u003e \u003cp\u003eJames Stirling 376\u003c\/p\u003e \u003cp\u003eColin Maclaurin 376\u003c\/p\u003e \u003cp\u003eTextbooks 380\u003c\/p\u003e \u003cp\u003eRigor and Progress 381\u003c\/p\u003e \u003cp\u003eLeibniz 382\u003c\/p\u003e \u003cp\u003eThe Bernoulli Family 390\u003c\/p\u003e \u003cp\u003eTschirnhaus Transformations 398\u003c\/p\u003e \u003cp\u003eSolid Analytic Geometry 399\u003c\/p\u003e \u003cp\u003eMichel Rolle and Pierre Varignon 400\u003c\/p\u003e \u003cp\u003eThe Clairauts 401\u003c\/p\u003e \u003cp\u003eMathematics in Italy 402\u003c\/p\u003e \u003cp\u003eThe Parallel Postulate 403\u003c\/p\u003e \u003cp\u003eDivergent Series 404\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Euler 406\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Life of Euler 406\u003c\/p\u003e \u003cp\u003eNotation 408\u003c\/p\u003e \u003cp\u003eFoundation of Analysis 409\u003c\/p\u003e \u003cp\u003eLogarithms and the Euler Identities 413\u003c\/p\u003e \u003cp\u003eDifferential Equations 414\u003c\/p\u003e \u003cp\u003eProbability 416\u003c\/p\u003e \u003cp\u003eThe Theory of Numbers 417\u003c\/p\u003e \u003cp\u003eTextbooks 418\u003c\/p\u003e \u003cp\u003eAnalytic Geometry 419\u003c\/p\u003e \u003cp\u003eThe Parallel Postulate: Lambert 420\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Pre- to Postrevolutionary France 423\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eMen and Institutions 423\u003c\/p\u003e \u003cp\u003eThe Committee on Weights and Measures 424\u003c\/p\u003e \u003cp\u003eD’Alembert 425\u003c\/p\u003e \u003cp\u003eBézout 427\u003c\/p\u003e \u003cp\u003eCondorcet 429\u003c\/p\u003e \u003cp\u003eLagrange 430\u003c\/p\u003e \u003cp\u003eMonge 433\u003c\/p\u003e \u003cp\u003eCarnot 438\u003c\/p\u003e \u003cp\u003eLaplace 443\u003c\/p\u003e \u003cp\u003eLegendre 446\u003c\/p\u003e \u003cp\u003eAspects of Abstraction 449\u003c\/p\u003e \u003cp\u003eParis in the 1820s 449\u003c\/p\u003e \u003cp\u003eFourier 450\u003c\/p\u003e \u003cp\u003eCauchy 452\u003c\/p\u003e \u003cp\u003eDiffusion 460\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Gauss 464\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eNineteenth-Century Overview 464\u003c\/p\u003e \u003cp\u003eGauss: Early Work 465\u003c\/p\u003e \u003cp\u003eNumber Theory 466\u003c\/p\u003e \u003cp\u003eReception of the Disquisitiones Arithmeticae 469\u003c\/p\u003e \u003cp\u003eAstronomy 470\u003c\/p\u003e \u003cp\u003eGauss’s Middle Years 471\u003c\/p\u003e \u003cp\u003eDifferential Geometry 472\u003c\/p\u003e \u003cp\u003eGauss’s Later Work 473\u003c\/p\u003e \u003cp\u003eGauss’s Influence 474\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20 Geometry 483\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe School of Monge 483\u003c\/p\u003e \u003cp\u003eProjective Geometry: Poncelet and Chasles 485\u003c\/p\u003e \u003cp\u003eSynthetic Metric Geometry: Steiner 487\u003c\/p\u003e \u003cp\u003eSynthetic Nonmetric Geometry: von Staudt 489\u003c\/p\u003e \u003cp\u003eAnalytic Geometry 489\u003c\/p\u003e \u003cp\u003eNon-Euclidean Geometry 494\u003c\/p\u003e \u003cp\u003eRiemannian Geometry 496\u003c\/p\u003e \u003cp\u003eSpaces of Higher Dimensions 498\u003c\/p\u003e \u003cp\u003eFelix Klein 499\u003c\/p\u003e \u003cp\u003ePost-Riemannian Algebraic Geometry 501\u003c\/p\u003e \u003cp\u003e\u003cb\u003e21 Algebra 504\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction 504\u003c\/p\u003e \u003cp\u003eBritish Algebra and the Operational Calculus of Functions 505\u003c\/p\u003e \u003cp\u003eBoole and the Algebra of Logic 506\u003c\/p\u003e \u003cp\u003eAugustus De Morgan 509\u003c\/p\u003e \u003cp\u003eWilliam Rowan Hamilton 510\u003c\/p\u003e \u003cp\u003eGrassmann and Ausdehnungslehre 512\u003c\/p\u003e \u003cp\u003eCayley and Sylvester 515\u003c\/p\u003e \u003cp\u003eLinear Associative Algebras 519\u003c\/p\u003e \u003cp\u003eAlgebraic Geometry 520\u003c\/p\u003e \u003cp\u003eAlgebraic and Arithmetic Integers 520\u003c\/p\u003e \u003cp\u003eAxioms of Arithmetic 522\u003c\/p\u003e \u003cp\u003e\u003cb\u003e22 Analysis 526\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBerlin and Göttingen at Midcentury 526\u003c\/p\u003e \u003cp\u003eRiemann in Göttingen 527\u003c\/p\u003e \u003cp\u003eMathematical Physics in Germany 528\u003c\/p\u003e \u003cp\u003eMathematical Physics in English-Speaking Countries 529\u003c\/p\u003e \u003cp\u003eWeierstrass and Students 531\u003c\/p\u003e \u003cp\u003eThe Arithmetization of Analysis 533\u003c\/p\u003e \u003cp\u003eDedekind 536\u003c\/p\u003e \u003cp\u003eCantor and Kronecker 538\u003c\/p\u003e \u003cp\u003eAnalysis in France 543\u003c\/p\u003e \u003cp\u003e\u003cb\u003e23 Twentieth-Century Legacies 548\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eOverview 548\u003c\/p\u003e \u003cp\u003eHenri Poincaré 549\u003c\/p\u003e \u003cp\u003eDavid Hilbert 555\u003c\/p\u003e \u003cp\u003eIntegration and Measure 564\u003c\/p\u003e \u003cp\u003eFunctional Analysis and General Topology 568\u003c\/p\u003e \u003cp\u003eAlgebra 570\u003c\/p\u003e \u003cp\u003eDifferential Geometry and Tensor Analysis 572\u003c\/p\u003e \u003cp\u003eProbability 573\u003c\/p\u003e \u003cp\u003eBounds and Approximations 575\u003c\/p\u003e \u003cp\u003eThe 1930s and World War II 577\u003c\/p\u003e \u003cp\u003eNicolas Bourbaki 578\u003c\/p\u003e \u003cp\u003eHomological Algebra and Category Theory 580\u003c\/p\u003e \u003cp\u003eAlgebraic Geometry 581\u003c\/p\u003e \u003cp\u003eLogic and Computing 582\u003c\/p\u003e \u003cp\u003eThe Fields Medals 584\u003c\/p\u003e \u003cp\u003e\u003cb\u003e24 Recent Trends 586\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eOverview 586\u003c\/p\u003e \u003cp\u003eThe Four-Color Conjecture 587\u003c\/p\u003e \u003cp\u003eClassification of Finite Simple Groups 591\u003c\/p\u003e \u003cp\u003e Fermat’s Last Theorem 593\u003c\/p\u003e \u003cp\u003ePoincaré’s Query 596\u003c\/p\u003e \u003cp\u003eFuture Outlook 599\u003c\/p\u003e \u003cp\u003eReferences 601\u003c\/p\u003e \u003cp\u003eGeneral Bibliography 633\u003c\/p\u003e \u003cp\u003eIndex 647 \u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":48864632701271,"sku":"9780470525487","price":26.4,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470525487.jpg?v=1722272816"},{"product_id":"levels-of-infinity-9780486489032","title":"Levels of Infinity","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis original anthology collects 10 of Weyl''s less-technical writings that address the broader scope and implications of mathematics. Most have been long unavailable or not previously published in book form. Subjects include logic, topology, abstract algebra, relativity theory, and reflections on the work of Weyl''s mentor, David Hilbert. 2012 edition.","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48864737689943,"sku":"9780486489032","price":15.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486489032.jpg?v=1722273012"},{"product_id":"the-principia-the-authoritative-translation-and-guide-9780520290877","title":"The Principia The Authoritative Translation and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. This is a modern translation based on the 1726 edition.","brand":"University of California Press","offers":[{"title":"Default Title","offer_id":48864903922007,"sku":"9780520290877","price":68.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780520290877.jpg?v=1722273274"},{"product_id":"humble-pi-9780593084694","title":"Humble Pi","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Penguin Putnam Inc","offers":[{"title":"Default Title","offer_id":48865145094487,"sku":"9780593084694","price":16.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780593084694.jpg?v=1722273748"},{"product_id":"measurement-9780674284388","title":"Measurement","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eLockhart’s \u003ci\u003eMathematician’s Lament\u003c\/i\u003e outlined how we introduce math to students in the wrong way. \u003ci\u003eMeasurement\u003c\/i\u003e explains how math should be done. With plain English and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eA love song and a philosophical manifesto about the pleasures and frustrations, but mainly the pleasures, of doing math.\u003cbr\u003eIn place of the usual boxed and high-lighted formulas and tricks, \u003ci\u003eMeasurement\u003c\/i\u003e offers questions to be pondered. Lockhart invites readers to trade tutorial fake problems about actual objects, which lead students to abhor school mathematics, for real problems about fantastical objects, which lead mathematicians to love math. * Science *\u003cbr\u003eA conversational book about mathematics as an art that invites the reader to join in the fun. Sounding every bit the teacher whose love for his subject is infectious, he guides us through exercises in geometry and calculus—giving information and hints along the way while always encouraging us to ask, and answer, ‘Why?’ Lockhart does not try to make math seem easy; instead he wants his readers to understand that the difficulty brings rewards. * Scientific American *\u003cbr\u003eThis invitation to tackle mathematical questions is infused with the joys of the rarefied reality of maths. Paul Lockhart largely avoids complex formulae and the wilder shores of jargon, opting instead for simple geometric drawings, lucid instructions and honest warnings about the hurdles. Covering size, shape, space and time, Lockhart, a maths teacher, gets through scores of problems, from showing that a cone in a hemisphere occupies half the volume to determining the size of the largest circle that can sit at the bottom of a parabola. Elegant, amusing and challenging. * Nature *\u003cbr\u003eThis book forced me to use mental muscles I haven’t exercised in a long time, but it felt fantastic! Paul Lockhart is a mathematics evangelist; his passion for his subject is evident on every page, in every line. Looking at the subject of Measurement, he takes the reader on a journey that covers geometry, algebra, trigonometry, and on through differential calculus. He has a conversational tone and self-deprecating humor that sets the reader at ease. He understands that many people have been turned off of mathematics. His attitude is playful and joyous… Math is usually taught in such a compartmentalized way that it loses any meaning or coherence, and certainly any sense of wonder or beauty, but \u003ci\u003eMeasurement\u003c\/i\u003e restores the connection. Paul Lockhart feels that math is the most beautiful, abstract and pure art form, and that it is actually fun! By the end of the book, you come to agree with him. * Sacramento Book Review *\u003cbr\u003eThere are many books available these days on what mathematicians do, and this is one of the best… Lockhart’s approach is fresh and effective. * Choice *\u003cbr\u003eLockhart presents math as an art and argues that just as there is no systematic way to create beautiful and meaningful art, there is also no method for producing beautiful and meaningful mathematical arguments. Doing mathematics, according to Lockhart, is to make a discovery (by, say, physical objects like string or rubber bands) and then to explain it in the simplest and most elegant way possible. Using illustrations of various shapes and mathematical formulas, he leads readers through several problems step by step, encouraging them to collaborate with others in working through the problem. Measuring, for example, is relative because it involves comparing the object being measured to another object. Measurement is only one of the many rivers in the ‘vast, ever-expanding jungle’ of mathematics, which for Lockhart satisfies our need to find patterns as well as our curiosity… His playful and ingenious approach not only takes the fear out of math but also elegantly illustrates that universe and the joy he finds in it. * Publishers Weekly *\u003cbr\u003eNo matter what mathematical education you had, or didn’t have, you will be delighted by this enticing book if you take up Paul Lockhart’s invitation to engage in the mathematical sensibility that radiates from its pages, and try your own hand—not only at answering, but even more fruitfully, at formulating questions as you explore the world of mathematics.","brand":"Harvard University Press","offers":[{"title":"Default Title","offer_id":48865486307671,"sku":"9780674284388","price":18.86,"currency_code":"GBP","in_stock":true}]},{"product_id":"philosophy-of-mathematics-in-the-twentieth-century-9780674728066","title":"Philosophy of Mathematics in the Twentieth","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eParsons is a much admired and highly respected philosopher of mathematics and logic, well-known for his thoughtful and careful reflections on both the great historical figures and on work of the previous century. He is also an astute commentator on the current literature, engaging the contemporary debates and offering illuminating insights about its content and direction. This volume offers a unique opportunity for those not fortunate enough to have attended classes of Parsons’s to form some idea of what such an experience would be like. -- William Demopoulos, University of Western Ontario\u003cbr\u003eThis is a truly superb book. Parsons is quite possibly the most distinguished writer on philosophy of mathematics now working and certainly the most careful and probing. These essays examine a rather wide range of historical opinion on mathematical matters, both with an eye to demanding more careful interpretations and formulations from important writers such as Kant or Gödel while remaining sympathetic to their overall philosophical ambitions. Parsons’s treatments are unsurpassed. -- Mark Wilson, University of Pittsburgh","brand":"Harvard University Press","offers":[{"title":"Default Title","offer_id":48865492468055,"sku":"9780674728066","price":49.26,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780674728066.jpg?v=1722274224"},{"product_id":"the-mathematics-of-the-heavens-and-the-earth-9780691129730","title":"The Mathematics of the Heavens and the Earth","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePresents the history in English of the origins and early development of trigonometry. This book identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and examines the revolutionary discoveries of Hipparchus. It traces trigonometry's development into a full-fledged mathematical discipline in India and Islam.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Fans of the history of mathematics will be richly rewarded by this exhaustively researched book, which focuses on the early development of trigonometry... Finally, the generous and lucid explanations provided throughout the text make Van Brummelen's history a rewarding one for the mathematical tourist.\"--Mathematics Teacher \"[T]his new and comprehensive history of trigonometry is more than welcome--even more so because it is the first in English... [T]his book will be appreciated by many with an interest--general or more specific--in the history of mathematics.\"--Steven Wepster, Centaurus \"[T]his book will have wide appeal, for students, researchers, and teachers of history and\/or trigonometry. The excerpts selected are balanced and their significances well articulated... It is a book written by an expert after many years of exposure to individual sources and in this way Van Brummelen uniquely advances the field. The book will no doubt become a necessary addition to the libraries of mathematicians and historians alike.\"--Clemency Montelle and Kathleen M. Clark, Aestimatio \"Van Brummelen's history does far more than simply fill a vacant spot in the historical literature of mathematics. He recounts the history of trigonometry in a way that is both captivating and yet more than satisfying to the crankiest and most demanding of scholars... The Mathematics of the Heavens and the Earth should be a part of every university library's mathematics collection. It's also a book that most mathematicians with an interest in the history of the subject will want to own.\"--Rob Bradley, MAA Reviews \"I highly recommend the book to all those interested in the way in which the ancient people solve their practical problems and hope that the next volume of this interesting history of spherical and plane trigonometry will appear soon.\"--Cristina Blaga, Studia Mathematica\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface xi The Ancient Heavens 1   Chapter 1: Precursors 9 What Is Trigonometry? 9 The Seqed in Ancient Egypt 10 * Text 1.1 Finding the Slope of a Pyramid 11 Babylonian Astronomy, Arc Measurement, and the 360  Circle 12 The Geometric Heavens: Spherics in Ancient Greece 18 A Trigonometry of Small Angles? Aristarchus and Archimedes on Astronomical Dimensions 20 * Text 1.2 Aristarchus, the Ratio of the Distances of the Sun and Moon 24   Chapter 2: Alexandrian Greece 33 Convergence 33 Hipparchus 34 A Model for the Motion of the Sun 37 * Text 2.1 Deriving the Eccentricity of the Sun's Orbit 39 Hipparchus's Chord Table 41 The Emergence of Spherical Trigonometry 46 Theodosius of Bithynia 49 Menelaus of Alexandria 53 The Foundations of Spherical Trigonometry: Book III of Menelaus's Spherics 56 * Text 2.2 Menelaus, Demonstrating Menelaus's Theorem 57 Spherical Trigonometry before Menelaus? 63 Claudius Ptolemy 68 Ptolemy's Chord Table 70 Ptolemy's Theorem and the Chord Subtraction\/Addition Formulas 74 The Chord of 1  76 The Interpolation Table 77 Chords in Geography: Gnomon Shadow Length Tables 77 * Text 2.3 Ptolemy, Finding Gnomon Shadow Lengths 78 Spherical Astronomy in the Almagest 80 Ptolemy on the Motion of the Sun 82 * Text 2.4 Ptolemy, Determining the Solar Equation 84 The Motions of the Planets 86 Tabulating Astronomical Functions and the Science of Logistics 88 Trigonometry in Ptolemy's Other Works 90 * Text 2.5 Ptolemy, Constructing Latitude Arcs on a Map 91 After Ptolemy 93   Chapter 3: India 94 Transmission from Babylon and Greece 94 The First Sine Tables 95 Aryabhata's Difference Method of Calculating Sines 99 * Text 3.1 Aryabhata, Computing Sines 100 Bhaskara I's Rational Approximation to the Sine 102 Improving Sine Tables 105 Other Trigonometric Identities 107 * Text 3.2 Varahamihira, a Half-angle Formula 108 * Text 3.3 Brahmagupta, the Law of Sines in Planetary Theory? 109 Brahmagupta's Second-order Interpolation Scheme for Approximating Sines 111 * Text 3.4 Brahmagupta, Interpolating Sines 111 Taylor Series for Trigonometric Functions in Madhava's Kerala School 113 Applying Sines and Cosines to Planetary Equations 121 Spherical Astronomy 124 * Text 3.5 Varahamihira, Finding the Right Ascension of a Point on the Ecliptic 125 Using Iterative Schemes to Solve Astronomical Problems 129 * Text 3.6 Paramesvara, Using Fixed-point Iteration to Compute Sines 131 Conclusion 133   Chapter 4: Islam 135 Foreign Junkets: The Arrival of Astronomy from India 135 Basic Plane Trigonometry 137 Building a Better Sine Table 140 * Text 4.1 Al-Samaw'al ibn Yahya al-Maghribi, Why the Circle Should Have 480 Degrees 146 Introducing the Tangent and Other Trigonometric Functions 149 * Text 4.2 Abu'l-Rayhan al-Biruni, Finding the Cardinal Points of the Compass 152 Streamlining Astronomical Calculation 156 * Text 4.3 Kushyar ibn Labban, Finding the Solar Equation 156 Numerical Techniques: Approximation, Iteration, Interpolation 158 * Text .4 Ibn Yunus, Interpolating Sine Values 164 Early Spherical Astronomy: Graphical Methods and Analemmas 166 * Text 4.5 Al-Khwarizmi, Determining the Ortive Amplitude Geometrically 168 Menelaus in Islam 173 * Text 4.6 Al-Kuhi, Finding Rising Times Using the Transversal Theorem 175 Menelaus's Replacements 179 Systematizing Spherical Trigonometry: Ibn Mucadh's Determination of the Magnitudes and Nasir al-Din al-Tusi's Transversal Figure 186 Applications to Religious Practice: The Qibla and Other Ritual Needs 192 * Text 4.7 Al-Battani, a Simple Approximation to the Qibla 195 Astronomical Timekeeping: Approximating the Time of Day Using the Height of the Sun 201 New Functions from Old: Auxiliary Tables 205 * Text 4.8 Al-Khalili, Using Auxiliary Tables to Find the Hour-angle 207 Trigonometric and Astronomical Instruments 209 * Text 4.9 Al-Sijzi (?), On an Application of the Sine Quadrant 213 Trigonometry in Geography 215 Trigonometry in al-Andalus 217   Chapter 5: The West to 1550 223 Transmission from the Arab World 223 An Example of Transmission: Practical Geometry 224 * Text 5.1 Hugh of St. Victor, Using an Astrolabe to Find the Height of an Object 225 * Text 5.2 Finding the Time of Day from the Altitude of the Sun 227 Consolidation and the Beginnings of Innovation: The Trigonometry of Levi ben Gerson, Richard of Wallingford, and John of Murs 230 * Text 5.3 Levi ben Gerson, The Best Step Size for a Sine Table 233 * Text 5.4 Richard of Wallingford, Finding Sin(1 ) with Arbitrary Accuracy 237 Interlude: The Marteloio in Navigation 242 * Text 5.5 Michael of Rhodes, a Navigational Problem from His Manual 244 From Ptolemy to Triangles: John of Gmunden, Peurbach, Regiomontanus 247 * Text 5.6 Regiomontanus, Finding the Side of a Rectangle from Its Area and Another Side 254 * Text 5.7 Regiomontanus, the Angle-angle-angle Case of Solving Right Triangles 255 Successors to Regiomontanus: Werner and Copernicus 264 * Text 5.8 Copernicus, the Angle-angle-angle Case of Solving Triangles 267 * Text 5.9 Copernicus, Determining the Solar Eccentricity 270 Breaking the Circle: Rheticus, Otho, Pitiscus and the Opus Palatinum 273   Concluding Remarks 284 Bibliography 287 Index 323","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865519501655,"sku":"9780691129730","price":51.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691129730.jpg?v=1722274361"},{"product_id":"philosophy-of-mathematics-9780691161402","title":"Philosophy of Mathematics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Excellent. . . . [A]n exceptionally well-informed, very readable and clear introduction to the subject. If you are looking for an entry point into the extensive philosophical literature on the nature of mathematics, look no further.\"\u003cb\u003e---A. C. Paseau, \u003ci\u003eMathematical Gazette\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"Linnebo's slender volume is an admirable addition to the many existing books on the philosophy of mathematics. It is clear, concise, and well written. . . . All in all, this is an excellent introduction to the philosophy of mathematics and should be seriously considered by any individual interested in the subject.\" * Choice *\u003cbr\u003e\"This is a thought-provoking book, and is a useful addition to the textbook literature on this subject.\" * MAA Reviews *\u003cbr\u003e\"This book provides a nice \u003ci\u003elay of the land \u003c\/i\u003efor anyone interested in contemporary philosophy of mathematics.\"\u003cb\u003e---Gregory Lavers, \u003ci\u003ePhilosophia Mathematica\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"[This book] is very, very good. Superbly clear, concise, well organised, it gives not only a very accessible introduction but also takes the reader all the way to the cutting edge of what philosophers are doing in the philosophy of mathematics. Above all, Linnebo writes as a fully engaged philosopher and makes his preferred choice of philosophical position clear. But this is no mere polemic: I felt he clearly and forcefully presents the strengths and weaknesses of all the philosophical positions he discusses.\"\u003cb\u003e---Henri Laurie, \u003ci\u003eMathemafrica\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"[A] very readable and . . . superb introduction to the philosophy of mathematics.\"\u003cb\u003e---Jason Wakefield, \u003ci\u003eAvello Publishing Journal\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eAcknowledgments vii  Introduction 1  1 Mathematics as a Philosophical Challenge 4  2 Frege's Logicism 21  3 Formalism and Deductivism 38  4 Hilbert's Program 56  5 Intuitionism 73  6 Empiricism about Mathematics 88  7 Nominalism 101  8 Mathematical Intuition 116  9 Abstraction Reconsidered 126  10 The Iterative Conception of Sets 139  11 Structuralism 154  12 The Quest for New Axioms 170  Concluding Remarks 183  Bibliography 189  Index 199","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865530380631,"sku":"9780691161402","price":27.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691161402.jpg?v=1722274413"},{"product_id":"alan-turing-the-enigma-9780691164724","title":"Alan Turing The Enigma","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"The book that inspired the film The imitation game.\"\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eA New York Times Bestseller The Imitation Game, Winner of the 2015 Academy Award for Best Adapted Screenplay Winner of the 2015 (27th) USC Libraries Scripter Award, University of Southern California Libraries One of The Guardian's Best Popular Physical Science Books of 2014, chosen by GrrlScientist \"Scrupulous and enthralling.\"--A. O. Scott, New York Times \"One of the finest scientific biographies ever written.\"--Jim Holt, New Yorker \"Andrew Hodges' 1983 book Alan Turing: The Enigma, is the indispensable guide to Turing's life and work and one of the finest biographies of a scientific genius ever written.\"--Michael Hiltzik, Los Angeles Times \"Turing's rehabilitation from over a quarter-century's embarrassed silence was largely the result of Andrew Hodges's superb biography, Alan Turing: The Enigma (1983; reissued with a new introduction in 2012). Hodges examined available primary sources and interviewed surviving witnesses to elucidate Turing's multiple dimensions. A mathematician, Hodges ably explained Turing's intellectual accomplishments with insight, and situated them within their wider historical contexts. He also empathetically explored the centrality of Turing's sexual identity to his thought and life in a persuasive rather than reductive way.\"--Michael Saler, Times Literary Supplement \"On the face of it, a richly detailed 500-page biography of a mathematical genius and analysis of his ideas, might seem a daunting proposition. But fellow mathematician and author Hodges has acutely clear and often extremely moving insight into the humanity behind the leaping genius that helped to crack the Germans' Enigma codes during World War II and bring about the dawn of the computer age... This melancholy story is transfigured into something else: an exploration of the relationship between machines and the soul and a full-throated celebration of Turing's brilliance, unselfconscious quirkiness and bravery in a hostile age.\"--Sinclair McKay, Wall Street Journal \"A first-class contribution to history and an exemplary work of biography.\"--I. J. Good, Nature \"An almost perfect match of biographer and subject... [A] great book.\"--Ray Monk, Guardian \"A superb biography... Written by a mathematician, it describes in plain language Turing's work on the foundations of computer science and how he broke the Germans' Enigma code in the Second World War. The subtle depiction of class rivalries, personal relationships, and Turing's tragic end are worthy of a novel. But this was a real person. Hodges describes the man, and the science that fascinated him--which once saved, and still influences, our lives.\"--Margaret Boden, New Scientist \"Andrew Hodges's magisterial Alan Turing: The Enigma ... is still the definitive text.\"--Joshua Cohen, Harper's \"Andrew Hodges's biography is a meticulously researched and written account detailing every aspect of Turing's life... This account of Turing's life is a definitive scholarly work, rich in primary source documentation and small-grained historical detail.\"--Mathematics Teacher \"Tells a powerful story that combines professional success and personal tragedy.\"--Nancy Szokan, Washington Post \"[A] really excellent biography... The great thing about this book is that the author is a mathematician and can explain the details of Turing's work--as a scientist, mathematician, and a code breaker--in a way that is easy to understand. He is also wonderful at the emotional nuance of Alan's life, who was a somewhat odd--a student was assigned to him in school to help him maintain a semblance of tidiness in his appearance, rooms and school work and at Bletchley Park he was known for chaining his tea mug to a pipe--but he was also charming and intelligent and Hodges brings all the aspects of his personality and life into sharp focus.\"--Off the Shelf \"This book is an incredibly detailed and meticulously researched biography of Alan Turing. Reading it is a melancholy experience, since you know from the outset that the ending is a tragic one and that knowledge overshadows you throughout. While the author divides the text into two parts, it actually reads like a play in four acts... This book is Turing's memorial, and one that does justice to the subject.\"--Katherine Safford-Ramus, MAA Reviews \"The new paperback edition of the 1983 book that inspired the film, with an updated introduction by Oxford mathematics professor Andrew Hodges, is an exhilarating, compassionate and detailed biography of a complicated man.\"--Jane Ciabattari, BBC \"If [The Imitation Game] does nothing else but send you, as it did me, to Alan Hodges's Alan Turing: The Enigma (1983, newly prefaced in the 2014 Princeton University Press edition) it more than justifies its existence. A great read, Hodges's intellectual biography depicts Turing as a brilliant mathematician; a crucial pioneering figure in the theorization and engineering of digital computing; and the biggest brain in Bletchley Park's Hut #8.\"--Amy Taubin, Artforum \"It is indeed the ultimate biography of Alan Turing. It will bring you as close as possible to his enigmatic personality.\"--Adhemar Bultheel, European Mathematical Society \"A book whose time has finally come. I found it to be a page-turner in spite of the occasionally esoteric explanations of mathematical theories that reminded of why Brooklyn Technical High School was not the wisest choice for me.\"--Terrance, Paris Readers Circle \"Thanks to the movie The Imitation Game, Alan Turing has emerged from history's shadows, where his memory had languished for decades. For anyone whose interest in the pioneering computer scientist, mathematician, and logician was piqued by the film, the book that served as the film's source material, Andrew Hodges's exhaustive biography Alan Turing: The Enigma, has the answers.\"--Frank Caso, Simply Charly\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eList of Plates ix  Foreword by Douglas Hofstadter xi  Preface xv  PART ONE: THE LOGICAL  1 Esprit de Corps to 13 February 1930 3  2 The Spirit of Truth to 14 April 1936 60  3 New Men to 3 September 1939 141  4 The Relay Race to 10 November 1942 202  BRIDGE PASSAGE to 1 April 1943 305  PART TWO: THE PHYSICAL  5 Running Up to 2 September 1945 325  6 Mercury Delayed to 2 October 1948 394  7 The Greenwood Tree to 7 February 1952 491  8 On the Beach to 7 June 1954 574  Postscript 665  Author's Note 666  Notes 680  Acknowledgements 714  Index 715","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865531593047,"sku":"9780691164724","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691164724.jpg?v=1722274421"},{"product_id":"mathematics-and-art-9780691165288","title":"Mathematics and Art","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the disciplin\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"This is a marvelous coffee table book ... very well researched and documented. It touches upon so many fundamental questions that philosophers, scientists, mathematicians and artists have asked since antiquity. But yet it guides the reader smoothly through all these competing visions and theories without becoming dull or getting lost in abstraction. This is the history of Western civilization with particular interest in art and mathematics, illuminating and instructive, and all wrapped up in a rich, colorful, and fancy book.\"--Adhemar Bultheel, European Mathematical Society \"This is the beauty and power of this book: [Mathematics and Art] is an intellectual tour de force of art history and its interaction with mathematics that will draw most readers, including me, back for further reading and study.\"--Frank Swetz, MAA Reviews \"Excellent new book... Overall this is a comprehensive, valuable and detailed book. It is written in an accessible style, with enough mathematics to interest the technical reader without overwhelming one with an arts background... Its rich anthology is particularly relevant today, given the explosion of interest in the digital arts and the need for digital artists to use maths creatively. I will definitely be keeping it close at hand.\"--William Latham, New Scientist \"The author does an artful job in creating a wide-ranging and beautifully illustrated survey that mathematicians and art historians will enjoy.\"--John Barrow, The Art Newspaper \"This sumptuously illustrated book chronicles the history of mathematics through its intersection with the development of visual art... Gamwell articulates the compelling, far-reaching connections within these fields in a way that is rewarding for scholars yet accessible to non-specialists.\"--Choice \"Beautiful books that display the beauty of art are fine additions to many coffee tables; beautiful books that display the beauty of mathematics are fine additions to few coffee tables. Gamwell's impressive work integrates the beauty of these two disciplines to create a work larger than their sum... A book for all ages and of all ages: truly a brilliant 'millennial' composition!\"--Sandra L. Arlinghaus, Mathematical Reviews \"This splendidly produced volume will appeal to everybody interested in mathematics and art and offers room for agreement and disagreement with the author... This volume stands out by its richness in contents, its wealth of colour reproductions and, last but not least, its very affordable price.\"--Dirk Werner, Zentralblatt MATH \"This wonderful book gives a very thorough overview of the impact of mathematics (and science) of the visual arts (and architecture) over the centuries.\"--Eos \"An interesting read, filled with paradigm-shifting history and art, the book still posits a linear perspective of the relationship of art and mathematics, specifically recounting the ways math has influenced art.\"--Karie Brown, Mathematics Teacher \"A monumental volume... Excellently illustrated by 523 images... Many highlighted quotations from writings of outstanding personalities of the sciences and the arts make the volume more colourful.\"--Gyorgy Darvas, Symmetry \"Mathematics and Art is an enjoyable read accessible to anyone interested in the history of mathematics and art.\"--Andre Michael Hahn, British Journal for the History of Science\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eFOREWORD by Neil deGrasse Tyson IX  PREFACE XI  1 Arithmetic and Geometry 1  2 Proportion 73  3 Infinity 109  4 Formalism 151  5 Logic 197  6 Intuitionism 225  7 Symmetry 249  8 Utopian Visions after World War I 277  9 The Incompleteness of Mathematics 321  10 Computation 355  1 1 Geometric Abstraction after World War II 385  12 Computers in Mathematics and Art 455  13 Platonism in the Postmodern Era 499  NOTES 512  ACKNOWLEDGMENTS 547  CREDITS 548  INDEX 549","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865531855191,"sku":"9780691165288","price":49.4,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691165288.jpg?v=1722274421"},{"product_id":"symmetry-9780691173252","title":"Symmetry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"This short book on a vast subject is the work of a master. With a few sure and authoritative words [Weyl] gives us the heart of the matter. There is no book ... quite like this one on the subject of symmetry and I doubt if any book will be written in the future that will not in some way lean upon this one... [I]t contains so much besides mathematics that it can still be read with profit and enjoyed by someone who has not advanced beyond long division.\"--John Tyler Bonner, Science \"Dr. Weyl presents a masterful and fascinating survey of the applications of the principle of symmetry in sculpture, painting, architecture, ornament, and design; its manifestations in organic and inorganic nature; and its philosophical and mathematical significance.\"--Scientific American \"Weyl offers deep insight into [the concept of symmetry], its foundations in group theory, its applications in physics, chemistry, and biology, and its role in art.\"--Manfred Eigen and Ruthild Winkler in Laws of the Game \"Vivid and picturesque... [Weyl is] an outstanding thinker.\"--Wolfgang Yourgrau, Philosophy and Phenomenological Research\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eBilateral symmetry 3  Translatory, rotational, and related symmetries 41  Ornamental Symmetry 83  Crystals. The General mathmatical idea of symmetry 119  Appendices  A. Determination of all finite groups of proper rotations in 3-space 149  B. Inclusion of improper rotations 155  Acknowledgements 157  Index 161","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865535852887,"sku":"9780691173252","price":14.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691173252.jpg?v=1722274442"},{"product_id":"the-golden-ticket-9780691175782","title":"The Golden Ticket","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eOne of Amazon.com's 2013 Best Science Books One of Choice's Outstanding Academic Titles for 2013 Honorable Mention for the 2013 PROSE Award in Popular Science \u0026amp; Mathematics, Association of American Publishers \"As Fortnow describes... P versus NP is 'one of the great open problems in all of mathematics' not only because it is extremely difficult to solve but because it has such obvious practical applications. It is the dream of total ease, of the confidence that there is an efficient way to calculate nearly everything, 'from cures to deadly diseases to the nature of the universe,' even 'an algorithmic process to recognize greatness.'... To postulate that P ? NP, as Fortnow does, is to allow for a world of mystery, difficulty, and frustration--but also of discovery and inquiry, of pleasures pleasingly delayed.\"--Alexander Nazaryan, New Yorker \"Fortnow effectively initiates readers into the seductive mystery and importance of P and NP problems.\"--Publishers Weekly \"Fortnow's book is just the ticket for bringing one of the major theoretical problems of our time to the level of the average citizen--and yes, that includes elected officials.\"--Veit Elser, Science \"Without bringing formulas or computer code into the narrative, Fortnow sketches the history of this class of questions, convincingly demonstrates their surprising equivalence, and reveals some of the most far-reaching implications that a proof of P = NP would bring about. These might include tremendous advances in biotechnology (for instance, more cures for cancer), information technology, and even the arts. Verdict: Through story and analogy, this relatively slim volume manages to provide a thorough, accessible explanation of a deep mathematical question and its myriad consequences. An engaging, informative read for a broad audience.\"--J.J.S. Boyce, Library Journal \"A provocative reminder of the real-world consequences of a theoretical enigma.\"--Booklist \"The definition of this problem is tricky and technical, but in The Golden Ticket, Lance Fortnow cleverly sidesteps the issue with a boiled-down version. P is the collection of problems we can solve quickly, NP is the collection of problems we would like to solve. If P = NP, computers can answer all the questions we pose and our world is changed forever. It is an oversimplification, but Fortnow, a computer scientist at Georgia Institute of Technology, Atlanta, knows his stuff and aptly illustrates why NP problems are so important.\"--Jacob Aron, New Scientist \"Fortnow's book does a fine job of showing why the tantalizing question is an important one, with implications far beyond just computer science.\"--Rob Hardy, Commercial Dispatch \"A great book... [Lance Fortnow] has written precisely the book about P vs. NP that the interested layperson or IT professional wants and needs.\"--Scott Aaronson, Shtetl-Optimized blog \"[The Golden Ticket] is a book on a technical subject aimed at a general audience... Lance's mix of technical accuracy with evocative story telling works.\"--Michael Trick, Michael Trick's Operations Research Blog \"Thoroughly researched and reviewed. Anyone from a smart high school student to a computer scientist is sure to get a lot of this book. The presentation is beautiful. There are few formulas but lots of facts.\"--Daniel Lemire's Blog \"An entertaining discussion of the P versus NP problem.\"--Andrew Binstock, Dr. Dobb's \"The Golden Ticketis an extremely accessible and enjoyable treatment of the most important question of theoretical computer science, namely whether P is equal to NP.\"--Choice \"The book is accessible and useful for practically anyone from smart high school students to specialists... [P]erhaps the interest sparked by this book will be the 'Golden Ticket' for further accessible work in this area. And perhaps P=NP will start to become as famous as E=mc2.\"--Michael Trick, INFORMS Journal of Computing \"In any case, it is excellent to have a nontechnical book about the P versus NP question. The Golden Ticket offers an inspiring introduction for nontechnical readers to what is surely the most important open problem in computer science.\"--Leslie Ann Goldberg, LMS Newsletter \"The Golden Ticket does a good job of explaining a complex concept in terms that a secondary-school student will understand--a hard problem in its own right, even if not quite NP.\"--Physics World \"[The Golden Ticket] is fun to read and can be fully appreciated without any knowledge in (theoretical) computer science. Fortnow's efforts to make the difficult material accessible to non-experts should be commended.\"--Andreas Maletti, Zentralblatt MATH \"This is a fabulous book for both educators and students at the secondary school level and above. It does not require any particular mathematical knowledge but, rather, the ability to think. Enjoy the world of abstract ideas as you experience an intriguing journey through mathematical thinking.\"--Gail Kaplan, Mathematics Teacher \"Fortnow's book provides much of the background and personal information on the main characters involved in this problem--notably Steven Cook, with a cameo appearance by Kurt Godel--that one does not get in the more technical treatments. There is a lot of information in this book, and the serious computer science student is sure to learn from it.\"--James M. Cargal, UMAP Journal\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface ix Chapter 1 The Golden Ticket 1 Chapter 2 The Beautiful World 11 Chapter 3 P and NP 29 Chapter 4 The Hardest Problems in NP 51 Chapter 5 The Prehistory of P versus NP 71 Chapter 6 Dealing with Hardness 89 Chapter 7 Proving P \u0026lt;\u0026gt; NP 109 Chapter 8 Secrets 123 Chapter 9 Quantum 143 Chapter 10 The Future 155 Acknowledgments 163 Chapter Notes and Sources 165 Index 171","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865537032535,"sku":"9780691175782","price":16.14,"currency_code":"GBP","in_stock":true}]},{"product_id":"beautiful-geometry-9780691175881","title":"Beautiful Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eHonorable Mention for the 2015 PROSE Award in Popular Science \u0026amp; Popular Mathematics, Association of American Publishers \"A book that stimulates the mind as well as the eye.\"--Scientific American \"The combination of art and exposition was quite effective. The writing is accessible to most reasonably well-educated laypeople, and I imagine that many such people would derive considerable pleasure dipping into this attractive and interesting book.\"--Mark Hunacek, MAA Reviews \"Eli Maor's lively writing benefits in equal parts from the geometry of ancient Greece and the eye-popping images conjured by artist Eugen Jost.\"--Bill Cannon, Scientist's Bookshelf \"Graphic illustrations serve as both beautiful abstract art and helpful explanations in this overview of geometric theorems and patterns.\"--Science News \"[Beautiful Geometry] achieves its aim to demonstrate that there is visual beauty in Mathematics. I heartily recommend it.\"--LSE Review of Books \"The explanations are clear, and cover the background to the paintings in a manner that will be appreciated by readers whatever their level of mathematical knowledge... Anyone with any interest in visual mathematics will love this book.\"--Times Higher Education \"A good-looking, large-format book suitable for the coffee table, but with lots of mathematical ideas packed in among the colorful illustrations... [A] handsome book for browsing and for some deep thought, and would be a superb gift for anyone (especially a young person) who has interest in mathematics.\"--Rob Hardy, Columbus Dispatch \"It is a handsome book for browsing and for some deep thought, and would be a superb gift for anyone (especially a young person) who has interest in mathematics.\"--Rob Hardy, Dispatch \"The book by Maor and Jost should be given to everyone--young or old--embarking on the study of mathematics or anyone teaching mathematics. The book will act as a source of inspiration and as a reminder of why it is that mathematics has fascinated the human race for millennia.\"--Henrik Jeldtoft Jensen, LMS Newsletter \"The content is accessible to anyone with even a high school course in geometry. The writing is very clear.\"--Choice \"Clear and lively... The mathematics in this book is first-rate, but the real surprise is how well the art reflects and illuminates the topic at hand... All of it is lovely to look at... [Beautiful Geometry] rises to the level of a coffee-table art book, only with a lot more depth.\"--Mathematical Reviews \"[E]erily captivating book... Maor's style of writing is conversational, and the writing is engaging.\"--Annalisa Crannell, Journal of Mathematics and the Arts \"At a very reasonable price, this is a book which would grace the coffee-table of any mathematics department, and many of the ideas in it will stimulate valuable discussions in the classroom.\"--Gerry Leversha, Mathematical Gazette \"It presents as a coffee-table book for mathematicians and would be a good addition to a classroom library, available for students of all ages to explore.\"--Susan Mielechowsky, Mathematics Teaching in the Middle School \"Visually stunning... [Beautiful Geometry] raises fundamental questions, answered thousands of years later and evidencing the progress made... This is an engaging book of broad appeal and a colourful approach to the history of geometry.\"--Mathematics Today\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePrefaces ix 1.Thales of Miletus 1 2.Triangles of Equal Area 3 3.Quadrilaterals 6 4.Perfect Numbers and Triangular Numbers 9 5.The Pythagorean Theorem I","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865537261911,"sku":"9780691175881","price":23.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691175881.jpg?v=1722274447"},{"product_id":"dr-eulers-fabulous-formula-9780691175911","title":"Dr. Eulers Fabulous Formula","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Nahin includes gems from all over mathematics, ranging from engineering applications to beautiful pure-mathematical identities... It would be good to have more books like this.\"--Timothy Gowers, Nature \"Nahin's tale of the formula e[pi] i+1=0, which links five of the most important numbers in mathematics, is remarkable. With a plethora of historical and anecdotal material and a knack for linking events and facts, he gives the reader a strong sense of what drove mathematicians like Euler.\"--Matthew Killeya, New Scientist \"It is very difficult to sum up the greatness of Euler... This excellent book goes a long way to explaining the kind of mathematician he really was.\"--Steve Humble, Mathematics Today \"What a treasure of a book this is! This is the fourth enthusiastic, informative, and delightful book Paul Nahin has written about the beauties of various areas of mathematics... This book is a marvelous tribute to Euler's genius and those who built upon it and would make a great present for students of mathematics, physics, and engineering and their professors.\"--Henry Ricardo, MAA Reviews \"The heart and soul of the book are the final three chapters on Fourier series, Fourier integrals, and related engineering. One can recommend them to all applied math students for their historical development and sensible content.\"--Robert E. O'Malley, Jr., SIAM Review \"This is a book for mathematicians who enjoy historically motivated mathematical explanations on a high mathematical level.\"--Eberhard Knobloch, Mathematical Reviews \"It is a 'popular' book, written for a general reader with some mathematical background equivalent to a first-year undergraduate course in the UK.\"--Robin Wilson, London Mathematical Society Newsletter\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e*FrontMatter, pg. i*Contents, pg. ix*Preface to the Paperback Edition, pg. xiii*Preface, pg. xxix*Introduction, pg. 1*Chapter 1. Complex Numbers, pg. 13*Chapter 2. Vector Trips, pg. 68*Chapter 3. The Irrationality of pi2, pg. 92*Chapter 4. Fourier Series, pg. 114*Chapter 5. Fourier Integrals, pg. 188*Chapter 6. Electronics and   -1, pg. 275*Euler: The Man and the Mathematical Physicist, pg. 324*Notes, pg. 347*Acknowledgments, pg. 375*Index, pg. 377","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865537360215,"sku":"9780691175911","price":18.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691175911.jpg?v=1722274448"},{"product_id":"the-mathematics-of-secrets-9780691183312","title":"The Mathematics of Secrets","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"In \u003ci\u003eThe Mathematics of Secrets\u003c\/i\u003e, Joshua Holden takes the reader on a chronological journey from Julius Caesar’s substitution cipher to modern day public-key algorithms and beyond. . . . Written for anyone with an interest in cryptography.\"\u003cb\u003e —Noel-Ann Bradshaw, \u003ci\u003eTimes Higher Education \u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"Complete in surveying cryptography. . . . This is a marvelous way of illustrating the use of simple mathematics in an important application that has triggered the wit of the designers and the ingenuity of the attackers since antiquity.\"\u003cb\u003e —Adhemar Bultheel, \u003ci\u003eEuropean Mathematical Society \u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"The best book I have seen on this subject.\"\u003cb\u003e —Phil Dyke,\u003ci\u003e Leonardo Reviews \u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"This is a fascinating tour of the mathematics behind cryptography, showing how its principles underpin the ways that different codes and ciphers operate. . . . While it’s all about maths, the book is accessible—basic high school algebra is all that’s needed to understand and enjoy it.\"\u003cb\u003e —\u003ci\u003eCosmos Magazine\u003c\/i\u003e\u003c\/b\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865542046039,"sku":"9780691183312","price":15.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691183312.jpg?v=1722274472"},{"product_id":"eulers-gem-9780691191379","title":"Eulers Gem","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Everything in the book is very well illustrated with insightful graphics that, together with the text, make results almost like being obvious.\"\u003cb\u003e---Adhemar Bultheel, \u003ci\u003eEuropean Mathematical Society\u003c\/i\u003e\u003c\/b\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865542504791,"sku":"9780691191379","price":16.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691191379.jpg?v=1722274474"},{"product_id":"ten-great-ideas-about-chance-9780691196398","title":"Ten Great Ideas about Chance","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"A volume that should be on every scientist's reading list.\"\u003cb\u003e—Barbara Kiser, \u003ci\u003eNature\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"A terrific book.\"\u003cb\u003e—\u003ci\u003eMathematics Magazine\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"Fun and entertaining to read.\"\u003cb\u003e\u003ci\u003e—MAA Reviews\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"To anyone with an interest in probability or statistics, this is a book you must read. . . . [It] is far-ranging and can be read at many levels, from the novice to the expert. It is also thoroughly engaging.\"\u003cb\u003e—David M. Bressoud, \u003ci\u003eUMAP Journal\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"A very enriching journey. Your vision will be broadened.\"\u003cb\u003e—Adhemar Bultheel, \u003ci\u003eEuropean Mathematical Society\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"A great book for anyone who wants to understand some of the central tenets of probability, how they were discovered, and how they can be tamed in our day-to-day lives.\"\u003cb\u003e\u003ci\u003e—ZME Science\u003c\/i\u003e\u003c\/b\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865544143191,"sku":"9780691196398","price":14.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691196398.jpg?v=1722274484"},{"product_id":"the-proof-stage-9780691206080","title":"The Proof Stage","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"A Choice Outstanding Academic Title of the Year\"\u003cbr\u003e\"Abbott proves a companionable guide to the coincident developments in mathematics and theater, breaking down in layman’s terms such concepts as non-Euclidian geometry and explaining just how they relate to Stoppard, Beckett, Brecht, Jarry, and other avant-garde playwrights.\"\u003cb\u003e---Robert Erickson, \u003ci\u003eThe New Criterion\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"[Abbott] masterfully interweaves mathematical ideas and theatrical works. . . . A wonderful gem for anyone interested in mathematics or theater—or both. Encore!\"\u003cb\u003e---J. Johnson, \u003ci\u003eChoice\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"Extraordinary.\"\u003cb\u003e---Paul J. Campbell, \u003ci\u003eMathematics Magazine\u003c\/i\u003e\u003c\/b\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865546764631,"sku":"9780691206080","price":27.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691206080.jpg?v=1722274497"},{"product_id":"the-rise-of-statistical-thinking-18201900-9780691208428","title":"The Rise of Statistical Thinking 18201900","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865547452759,"sku":"9780691208428","price":25.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691208428.jpg?v=1722274499"},{"product_id":"calculus-reordered-9780691218786","title":"Calculus Reordered","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865550434647,"sku":"9780691218786","price":17.09,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691218786.jpg?v=1722274516"},{"product_id":"the-story-of-proof-9780691234366","title":"The Story of Proof","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"This book could well serve as a history of mathematics. … [Stillwell] has done an amazing job of collecting and categorizing many of the most important ideas in this area.\"\u003cb\u003e---Jim Stein, \u003ci\u003eNew Books in Mathematics\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"Stillwell’s \u003ci\u003e[The Story of Proof]\u003c\/i\u003e joins his two other Princeton University Press books in having my highest recommendation. I just wish they had been around when I was a student.\"\u003cb\u003e---George Hacken, \u003ci\u003eComputing Reviews\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"I hugely enjoyed this book.\"\u003cb\u003e---Jonathan Shock, \u003ci\u003eMathemafrica\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"This book would be perfect for any keen undergraduate, keen amateur, or indeed a teacher of mathematics, who wants a book to dip into to use for the classroom.\"\u003cb\u003e---Jonathan Shock, \u003ci\u003eMathemafrica\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"\u003cp\u003eA well-crafted, thought-provoking meditation on the concept of proof in mathematics. . . .It is a substantive book that deserves to be read and reflected upon.\u003c\/p\u003e\"\u003cb\u003e---Tommy Murphy, \u003ci\u003eIrish Mathematical Society Bulletin\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"This is a work that mathematicians, historians, and philosophers will find especially engaging, as will anyone with a serious interest in mathematics and the limits of certainty that it is constantly probing.\"\u003cb\u003e---J.W. Dauben, \u003ci\u003eChoice\u003c\/i\u003e\u003c\/b\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865552859479,"sku":"9780691234366","price":34.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691234366.jpg?v=1722274527"}],"url":"https:\/\/bookcurl.com\/collections\/history-of-mathematics.oembed?page=6","provider":"Book Curl","version":"1.0","type":"link"}