History of mathematics Books
Johns Hopkins University Press The Science of Conjecture
Book SynopsisThe Science of Conjecture provides a history of rational methods of dealing with uncertainty and explores the coming to consciousness of the human understanding of risk.Trade ReviewA remarkable book. Mr. Franklin writes clearly and exhibits a wry wit. But he also ranges knowledgeably across many disciplines and over many centuries. Wall Street Journal The Science of Conjecture opens an old chest of human attempts to draw order from havoc and wipes clean the rust from some cast-off classical tools that can now be reused to help build a framework for the unpredictable future. Science Franklin's style is clear and fluent, with an occasional sly Gibbonian aside to make the reader chuckle. New Criterion An admirably accessible study written in a crisp prose. It presents the reader with anarching historical perspective throughout many a century of human action. -- Giora Hon Centaurus Franklin gives a magisterial account of matters as diverse as the Talmud, Justinian's Digest, torture, witch hunts, Tudor treason trials, ancient and medieval astronomy and physics, humanist historiography, scholastic philosophy, speculations in public debt, and 17th century mathematics. His treatment of medieval law is among the best I have ever read. International Journal of Evidence and Proof Franklin's book is magnificent... Think of [it] as a non-fiction equivalent of Tolstoy's War and Peace. -- Peter Tillers The Jurist The Science of Conjecture is a masterly work, beautifully written, and based on encyclopaedic research... It is simply a tour de force that is unlikely to be surpassed for many a year. -- Barry Miller The Thomist Statistics teachers who like to sprinkle a little history and philosophy into their classes will find much here to delight and challenge them... This is a serious and scholarly work that I expect often will inform my teaching. -- Richard J. Cleary Journal of the American Statistical Association [This book has given me] sheer enjoyment in its density of strange information, in the wit and clarity if its writing, and in the vigour of its argumentation. I recommend it unreservedly to all interested in its subject. -- Oliver Mayo Australian and New Zealand Journal of Statistics This is the intellectual book of the year, and it ought to become one of the great classics of intellectual history. -- Scott Campbell Interdisciplinary Science Reviews The strength of The Science of Conjecture lies in its panoramic exposition of developments across the centuries and across intellectual disciplines and human endeavors. It is, as one reviewer wrote, 'a magesterial account of matters as diverse as the Talmud, Justinian's Digest, torture, witch hunts, Tudor treason trials, ancient and medieval astronomy and physics, humanist histriography, scholastic philosophy, speculations in public debt, and 17th century mathematics.' -- D. H. Kaye Law and History Review A remarkable book. Mr. Franklin writes clearly and exhibits a wry wit. But he also ranges knowledgeably across many disciplines and over many centuries. There are several reasons to read this book, but perhaps the best reason is its contemporary relevance. The lessons he discusses have pertinence to an age like ours, which has witnessed a gradual waning of faith in the objectivity of the relation of uncertain evidence to conclusion. Wall Street Journal In The Science of Conjecture, James Franklin shows us how deeply and subtly jurists and philosophers from ancient Greece onwards have explored how we can deal rationally with real-life cases (law cases, for instance, or scientific experiments) where the link between cause and effect is not obvious. -- J.M. Coetzee The Australian Since many in the nominalist/empiricist/positivist tradition deny that we can know natures, this book has a place in teacher education as well as legal education for the challenges it poses the reader on how we know, and how well we know, through induction, perception and abstraction. Metascience The text has an even wider importance in that it signals the need for more, not less, study of the history, philosophy and social studies in science to occupy a greater space in undergraduate degrees so that an educated electorate is better able to evaluate what the STEM community tells us is good for the progress of society. MetascienceTable of ContentsContents: Preface Chapter 1: The Ancient Law of Proof Egypt and Mesopotamia; The Talmud; Roman Law; Proof and Presumptions; Indian LawChapter 2: The Medieval Law of Evidence: Suspicion, Half-proof, and the Inquisition Dark Age Ordeals; The Gregorian Revolution; The Glossators Invent Half-Proof; Presumptions in Canon Law; Grades of Evidence and Torture; The Postglossators Bartolus and Baldus; The Competed Theory; The Inquisition; Law in the EastChapter 3: Renaissance Law Henry VIII Presumed Wed; Tudor Treason Trials; Continental Laws: The Treatises on Presumptions; The Witch Inquisitors; English Legal Theory and the Reasonable ManChapter 4: The Doubting Conscience and Moral Certainty Penance and Doubts; The Doctrine of Probabilism; Suarez: Negative and Positive Doubt; Grotius, Silhon, and the Morality of the State; Hobbes and the Risk of Attack; The Scandal of Laxism; English Casuists Pursue the Middle Way; Juan Caramuel Lobkowitz, Prince of Laxists; Pascal's Provincial LettersChapter 5: Rhetoric, Logic, Theory The Greek Vocabulary of Probability; The Sophists and the Art of Persuasion; Aristotle's Rhetoric and Logic; The Rhetoric to Alexander; Roman Rhetoric: Cicero and Quintilian; Islamic Logic; The Scholastic Dialectical Syllogism; Probability in Ordinary Language; Humanist Rhetoric; Late Scholastic LogicChapter 6: Hard Science Observation and Theory; Aristotle's Not-by-Chance Argument; Averaging of Observations in Greek Astronomy; The Simplicity of Theories; Nicole Oresme on Relative Frequency; Copernicus; Kepler Harmonizes Observations; Galileo on the Probability of Copernican HypothesisChapter 7: Soft Science and History The Physiognomics; Divination and Astrology; The Empiric School of Medicine on Drug Testing; The Talmud and Maimonides on Majorities; Vernacular Averaging and Quality Control; Experimentation in Biology; The Authority of Histories; The Authenticity of Documents; Valla and the Donation of Constantine; Cano and the Signs of True HistoriesChapter 8: Philosophy: Action and Induction Carneades's Mitigated Skepticism; The Epicureans on Inference from Signs; Inductive Skepticism and Avicenna's Reply; Aquinas on Tendencies; Scotus and Ockham on Induction; Nicholas of Autrecourt; The Decline of the West; Bacon and Descartes: Certainty? or Moral Certainty?; The Jesuits and Hobbes on Induction; Pascal's Deductivist Philosophy of ScienceChapter 9: Religion: Laws of God, Laws of Nature The Argument from Design; The Church Fathers; Inductive Skepticism by Revelation; John of Salisbury; Maimonides on Creation; Are Laws of Nature Necessary?; The Reasonableness of Christianity; Pascal's WagerChapter 10: Aleatory Contracts: Insurance, Annuities, and Bets The Price of Peril; Doubtful Claims in Jewish Law; Olivi on Usury and Future Profits; Pricing Life Annuities; Speculation in Public Debt; Insurance Rates; Renaissance Bets and Speculation; Lots and Lotteries; Commerce and the CasuistsChapter 11: Dice Games of Chance in Antiquity; The Medieval Manuscript on the Interrupted Game; Cardano; Gamblers and Casuists; Galileo's Fragment; De Mere and Roberval; The Fermat-Pascal Correspondence; Huygens' Reckoning in Games of Chance; CaramuelChapter 12: Conclusion Subsymbolic Probability and the Transition to Symbols; Kinds of Probability and the Stages of Discovering Them; Why Not Earlier?; Two Parallel Histories; The Genius of the Scholastics and the Orbit of Aristotle; The Place of Law in the history of IdeasEpilogue: The Survival of Unquantified Probability The Port-Royal Logic; Leibniz's Logic of Probability; To the PresentAppendix: Review of Work before 1660
£31.50
Birkhauser Verlag AG Who Killed Professor X?
Book SynopsisThis graphic novel is both a historical novel as well as an entertaining way of using mathematics to solve a crime. The plot, the possible motive of every suspect, and the elements of his or her character are based on actual historical figures.The 2nd International Congress of Mathematicians is being held in Paris in 1900. The main speaker, the renowned Professor X, is found dead in the hotel dining room. Foul play is suspected. The greatest mathematicians of all time (who are attending the Congress) are called in for questioning. Their statements to the police, however, take the form of mathematical problems. The Chief Inspector enlists the aid of a young mathematician to help solve the crime. Do numbers always tell the truth? Or don’t they?Trade Review“It is a detective story in which several of the greatest historic mathematicians become all suspects for a murder on a colleague. … This is a wonderful booklet of fiction, but based on historical incidents. … It is a fantastic present that you can give to anybody between 9 and 99.” (Adhemar Bultheel, euro-math-soc.eu, June, 2015)Table of ContentsThe Crime.- The Suspects: Mathematicians.- Credits.- Examination of the Statements.
£14.25
College Publications Philosophical Perspectives on Mathematical Practice
£20.00
HarperCollins Publishers CounterIntelligence
Book SynopsisBest Books of 2024, The EconomistFrom the codebreakers and problem solvers, to the engineers, mathematicians and other problem-solvers what the secret world can teach us about performance and creativity How do you hire smart people who can work together to prevent terrorist attacks and decode encrypted technology?How do you come up with creative, counterintuitive solutions to solve major global problems?How do you provide the right environment for these people to thrive and work at their best when under immense pressure?Written by Robert Hannigan, the former Director of GCHQ, this book explores the role of the counter-intelligence services in history and today's world from the codebreakers and problem solvers, to innovation and creativity, secrecy and transparency and the global tech community. It will trace the history of counter-intelligence from the early days of Bletchley Park, to the ongoing work of GCHQ while reflecting on some of the unique characteristics of the engineers, mathematicians and other problem-solvers that make up the world's intelligence community.An exhaustive and authoritative account of the history of counter-intelligence from Bletchley Park to modern day GCHQ, this brilliant and unique book will appeal to business readers, history readers and fans of smart thinking and big ideas around the world.
£16.14
Bloomsbury Publishing Plc Logicomix
Book Synopsis
£22.10
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Collected Works
Book SynopsisWhile Eugenio Calabi is best known for his contributions to the theory of Calabi-Yau manifolds, this Steele-Prize-winning geometer’s fundamental contributions to mathematics have been far broader and more diverse than might be guessed from this one aspect of his work. His works have deep influence and lasting impact in global differential geometry, mathematical physics and beyond. By bringing together 47 of Calabi’s important articles in a single volume, this book provides a comprehensive overview of his mathematical oeuvre, and includes papers on complex manifolds, algebraic geometry, Kähler metrics, affine geometry, partial differential equations, several complex variables, group actions and topology. The volume also includes essays on Calabi’s mathematics by several of his mathematical admirers, including S.K. Donaldson, B. Lawson and S.-T. Yau, Marcel Berger; and Jean Pierre Bourguignon. This book is intended for mathematicians and graduate students around the world. Calabi’s visionary contributions will certainly continue to shape the course of this subject far into the future.Trade Review“In my case, I spent several happy hours learning about affine differential geometry, something that would certainly never have happened if I had not picked up this volume. … The collected works of Eugenio Calabi are worthy of a place on the bookshelf of any person with a serious interest in differential geometry.” (Joel Fine, EMS Magazine, May 11, 2023)Table of ContentsPreface.- J.-P. Bourguignon, Eugenio Calabi’s Short Biography.- Bibliographic List of Works.- S.-T. Yau, An Essay on Eugenio Calabi.- Part I: Commentaries on Calabi’s Life and Work: B. Lawson, Reflections on the Early Work of Eugenio Calabi.- M. Berger, Encounter with a Geometer: Eugenio Calabi.- J.-P. Bourguignon, Eugenio Calabi and Kähler Metrics.- C. LeBrun, Eugenio Calabi and the Curvature of Kähler Manifolds.- X. Chen, S. Donaldson, Calabi’s Work on Affine Differential Geometry and Results of Bernstein Type.- Part II: Collected Works: E. Calabi ,Ar. Dvoretzky, Convergence- and Sum-Factors for Series of Complex Numbers (1951).- E. Calabi, D. C. Spencer, Completely Integrable Almost Complex Manifolds (1951).- E. Calabi, Metric Riemann Surfaces (1953).- E. Calabi, M. Rosenlicht, Complex Analytic Manifolds Without Countable Base (1953).- E. Calabi, B. Eckmann, A Class of Compact, Complex Manifolds Which Are Not Algebraic (1953).- E. Calabi, Isometric Imbedding of Complex Manifolds (1953).- E. Calabi, The Space of Kähler Metrics (1954).- E. Calabi, The Variation of Kähler Metrics I. The Structure of the Space (1954).- E. Calabi, The Variation of Kähler Metrics II. A Minimum Problem (1954).- E. Calabi, On Kähler Manifolds With Vanishing Canonical Class (1957).- E. Calabi, Construction and Properties of Some 6-Dimensional Almost Complex Manifolds (1958).- E. Calabi, Improper Affine Hyperspheres of Convex Type and a Generalization of a Theorem by K. Jörgens (1958).- E. Calabi, An Extension of E. Hopf’s Maximum Principle with an Application to Riemannian Geometry (1958).- E. Calabi, Errata: An Extension of E. Hopf’s Maximum Principle with an Application to Riemannian Geometry (1959).- E. Calabi, E. Vesentini, Sur les variétés complexes compactes localement symétriques (1959).- E. Calabi, E. Vesentini, On Compact, Locally Symmetric Kähler Manifolds (1960).- E. Calabi, On Compact, Riemannian Manifolds with Constant Curvature I. (1961).- E. Calabi, L. Markus Relativistic Space Forms (1962).- E. Calabi, Linear Systems of Real Quadratic Forms (1964).- E. Calabi, Quasi-Surjective Mappings and a Generalization of Morse Theory (1966).- E. Calabi, Minimal Immersions of Surfaces in Euclidean Spheres (1967).- E. Calabi, On Ricci Curvature and Geodesics (1967).- E. Calabi, On Differentiable Actions of Compact Lie Groups on Compact Manifolds (1968).- E. Calabi, An Intrinsic Characterization of Harmonic One-Forms (1969).- E. Calabi, On the Group of Automorphisms of a Symplectic Manifold (1970).- E. Calabi, P. Hartman, On the Smoothness of Isometries (1970).- E. Calabi, Examples of Bernstein Problems for Some Nonlinear Equations (1970).- E. Calabi, Über singuläre symplektische Strukturen (1971).- E. Calabi, Complete Affine Hyperspheres I (1972).- E. Calabi, A Construction of Nonhomogeneous Einstein Metrics (1975).- E. Calabi, H. S. Wilf, On the Sequential and Random Selection of Subspaces Over a Finite Field (1977).- E. Calabi, Métriques kählériennes et fibrés holomorphes (1978).- E. Calabi, Isometric Families of Kähler Structures (1980).- E. Calabi, Géométrie différentielle affine des hypersurfaces (1981).- E. Calabi, Linear Systems of Real Quadratic Forms II (1982).- E. Calabi, Extremal Kähler Metrics (1982).- E. Calabi, Hypersurfaces with Maximal Affinely Invariant Area (1982).- E. Calabi, Extremal Kähler Metrics II (1985).- E. Calabi, Convex Affine Maximal Surfaces (1988).- E. Calabi, Affine Differential Geometry and Holomorphic Curves (1990).- E. Calabi, J. Cao Simple Closed Geodesics on Convex Surfaces (1992).- F. Beukers, J. A. C. Kolk and E. Calabi, Sums of Generalized Harmonic Series and Volumes (1993).- E. Calabi and H. Gluck, What are the Best Almost-Complex Structures on the 6-Sphere? (1993).- E. Calabi, Extremal Isosystolic Metrics for Compact Surfaces (1996).- E. Calabi, P. J. Olver, A. Tannenbaum, Affine Geometry, Curve Flows, and Invariant Numerical Approximations (1996).- J.-P. Bourguignon, E. Calabi, J. Eells, O. Garcia-Prada, M. Gromov, Where Does Geometry Go? A Research and Education Perspective (2001).- E. Calabi, X. Chen, The Space of Kähler Metrics II (2002).- Acknowledgements.
£123.49
Rydon Publishing The No.1 Book of Numbers: Exploring the meaning
Book SynopsisWhy is 7 such a lucky number and 13 so unlucky? Why does a jury traditionally have `12 good men and true', and why are there 24 hours in the day and 60 seconds in a minute? This fascinating new book explores the world of numbers from pin numbers to book titles, and from the sixfold shape of snowflakes to the way our roads, houses and telephone numbers are designated in fact and fiction. Using the numbers themselves as its starting point it investigates everything from the origins and meaning of counting in early civilizations to numbers in proverbs, myths and nursery rhymes and the ancient `science' of numerology. It also focuses on the quirks of odds and evens, primes, on numbers in popular sports - and much, much more. So whether you've ever wondered why Heinz has 57 varieties, why 999 is the UK's emergency phone number but 911 is used in America, why Coco Chanel chose No. 5 for her iconic perfume, or how the title Catch 22 was chosen, then this is the book for you. Dip in anywhere and you'll find that numbers are not just for adding and measuring but can be hugely entertaining and informative whether you're buying a diamond or choosing dinner from the menu.Table of Contents1 Introduction 8 2 Numbers of many sorts 10 3 Numbers and counting 12 4 1 - The number of unity 17 5 2 - The duality 19 6 3 - The trinity of perfection 21 7 4 - Truth and justice 23 8 5 - The number of nature 26 9 6 - Without a fault Six and the snowflake 29 10 7 - The symbol of fortune 32 11 The seven wonders of the world 35 12 Puzzles to solve 37 13 8 - Harmony and balance 38 14 9 - Unbounded 40 15 The nine muses 43 16 10 - On our fingers and toes 44 17 11 - The final hour 46 18 12 - A number in time 47 19 The twelve labours of Hercules 49 20 13 - And other teens 53 21 0 - The story of zero 54 22 Lucky - and unlucky - numbers 56 23 Odds and evens 59 24 Many favourite numbers 60 25 The secrets of numerology 62 26 Big numbers 66 27 Small numbers 68 28 The appeal of primes 69 29 Making shapes with numbers 72 30 Numbers - more different types 74 31 - the most famous number 75 32 Fibonacci - the brilliant number sequence 77 33 The golden ratio 79 34 Numbers in use 81 35 The world we live in 84 36 Our planet earth 86 37 Lines on the map 89 38 Measuring the world 94 39 A matter of weight 98 40 By volume 101 41 More about money 104 42 Inventing the calendar 106 43 Time and the circle 109 44 The living world 110 45 The human body 114 46 A number for your home 120 47 Addresses in fiction 121 48 A dark history 123 49 The streets of power 124 50 Numbers for the post 126 51 Roads to take - navigating by numbers 127 52 The number to call 130 53 PIN - what's your number? 132 54 Edible connections 134 55 Sizing up our drinks 137 56 Of yarns, fabrics and clothes 139 57 All that glitters 140 58 Beauty by numbers 142 59 For our leisure and entertainment 144 60 Proverbs and sayings 146 61 Bingo lingo 147 62 Books with numbers 149 63 In the film title 156 64 Counting in song 161 65 Jazz numbers 163 66 A musical miscellany 165 67 Poetry's secrets revealed 167 68 The beautiful game 170 69 The oval ball game - rugby football 174 70 The game of golf 176 71 Throwing darts 178 72 Cricket - bat on ball 179 73 On court - the game of tennis 182 74 Snooker and other cue games 185 75 The game of baseball 187 76 Chancing your luck 189 77 Throwing dice 192 78 Playing dominoes 194 79 Solving the square 195 80 Index 200 81 About the author 208
£11.69
Princeton University Press Tales of Impossibility
Book SynopsisTrade Review"I greatly enjoyed Richeson's Tales of Impossibility. It deserves to become a classic and can be highly recommended."---Robin Wilson, Times Higher Education"Even if you never read a single proof through to its conclusion, you’ll enjoy the many entertaining side trips into a geometry far beyond what you learned in high school."---Jim Stein, New Books in Mathematics"The whole book, both informative and amusing, is a highly recommended read."---Adhemar Bulteel, European Mathematical Society"This book was a pleasure to read and I would recommend it for anybody who wants a lovely overview of many areas of the history of mathematics, with a focus on some very easy to understand problems."---Jonathan Shock, Mathemafrica"Richeson clearly explains what it means to be impossible to solve a problem, cites other impossibility results, goes into detail about geometric constructions with various instruments, and discusses the defective proofs and the cranks that have turned up along the way." * Mathematics Magazine *"This fascinating text will appeal to all those interested in the history of mathematics, not leasy because of its helpful notes on each chapter and its two dozen pages of references for further reading"---Laurence E. Nicholas CMath FIMA, Mathematics Today"A fact-filled, insightful, panoramic view of how mathematics developed to what it is today transformed by folks thinking both inside and outside of G so as to resolve the impossible."---Andrew J. Simoson, Mathematical Intelligencer
£22.50
Princeton University Press Music by the Numbers
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£14.24
Princeton University Press The Rise of Statistical Thinking 18201900
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£25.20
NMSE - Publishing Ltd John Napier: Logarithm John
Book SynopsisWhen John Napier published his invention of logarithms in 1614 he was announcing one of the greatest advances in the history of mathematics, and log tables were used universally until the mid 1970s. With his Rabdologia, an ingenious calculating tool composed of numbered rods which came to be known as 'Napier's Bones', he enabled people in the marketplace to do multiplication sums without knowing any multiplication tables. Perhaps the most extraordinary thing about this most extrordinary man was that his great inventions were made without the stimulus of talking to other mathematicians in mainstream Europe. Working away in comparative isolation in a tower house in Scotland, Napier produced methods of calculation that literally changed lives all over the world. He is the father of the slide-rule and the grandfather of today's calculators. Despite his achievements, he remains curiously uncelebrated, and this absorbing story of his life aims to give John Napier his true status. This new edition has been redesigned in a new format and has a new cover.Trade ReviewReview of first edition: 'What a wonderful little book; it is beautifully written and has wonderful photographs and illustrations ... Moreover it accomplishes its purpose, to give us a glimpse into the nature and times of John Napier.' History of Mathematics NewsletterTable of ContentsAcknowledgements 1 An Astonishing World 2 A Privileged Beginning 3 A Very Young Student 4 Travel was not for the Faint hearted 5 The Student comes Home 6 A Country Laird or a Sorcerer? 7 Weapons against the Spaniards 8 Logarithms - The Quantum Leap 9 The World's First Pocket Calculator 10 Up amongst the Greats Selected Bibliography
£6.78
Cambridge University Press The Archimedes Palimpsest
Book SynopsisThe Archimedes Palimpsest is the name given to a Byzantine prayer book that was written over a number of earlier manuscripts, including one that contained two unique works by Archimedes, unquestionably the greatest mathematician of antiquity. Sold at auction in 1998, it has since been the subject of a privately funded project to conserve, image, and transcribe its texts. Images and transcriptions of three of these manuscripts are provided here. The first contains seven treatises by Archimedes, including two unique texts, Method and Stomachion, as well as the only extant Greek version of Floating Bodies. Previously unknown speeches by Hyperides and a second- or third-century commentary on Aristotle''s Categories follow. The product of ten years of conservation, imaging, and scholarship, this book will be of interest to manuscript scholars, classicists, and historians of science.Trade Review'The imminent massive publication of a complete facsimile and transcription will be a huge gift to the study of ancient mathematics.' Alexander Jones, Wall Street Journal'There is enormous expectation in the scholarly community about the arrival of the first copies of a new book from Cambridge University Press, which contains full color images of the palimpsest, a technical account of how the images were made and complete transcriptions of the texts. It's too early to say whether this will revolutionize our understanding of Greek mathematics, but it will contain new texts thought to have been lost forever by the Greek orator Hyperides and the most complete versions of several works by Archimedes, including two books which exist only in this manuscript. This is the iceberg in full view, a massive tome that took more than a decade to produce, recovering - perhaps as fully as can ever be hoped - texts that miraculously escaped the oblivion of decay and destruction.' The Washington PostTable of ContentsPreface; 1. Archimedes: treatises; 2. Hyperides: speeches; 3. Commentary on Aristotle's Categories; Appendix.
£110.20
Cambridge University Press Hardy Spaces
Book SynopsisThe theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing and Fourier analysis to maximum modulus principles and the Riemann zeta function. This book, aimed at beginning graduate students, introduces and develops the classical results on Hardy spaces and applies them to fundamental concrete problems in analysis. The results are illustrated with numerous solved exercises that also introduce subsidiary topics and recent developments. The reader''s understanding of the current state of the field, as well as its history, are further aided by engaging accounts of important contributors and by the surveys of recent advances (with commented reference lists) that end each chapter. Such broad coverage makes this book the ideal source on Hardy spaces.Trade Review'This is a beautiful introduction to a beautiful subject. The author does a masterful job of choosing topics that give a solid introduction to Hardy spaces without overwhelming the reader with too much too soon. Every student of mathematics should enjoy this book.' John McCarthy, Washington University, St Louis'This is an excellent, highly-recommendable book by a leading expert in the field. Describing in a self-contained way the classical approach to Hardy spaces and their applications - with emphasis on the invariant subspace point of view - it also offers an entertaining journey into the history of twentieth-century analysis.' Joaquim Bruna, Universitat Autònoma de Barcelona'The author has created a very interesting text that will serve as a source of basic material and an introduction for those interested in the interactions between harmonic analysis, complex analysis, and operator theory. Any researcher who masters the material in this text is well placed to read the more intensive monographs that further develop the interactions of these subjects.' Brett Wick, Washington University, St Louis'From the high stand due to a lifelong affinity for the subject, Nikolaï Nikolski delineates and recounts the fascinating history of Hardy space with style. His inviting text is sparkled with biographical snapshots, colorful anecdotes, and insightful remarks, conveying a vivid picture of the field. The mathematical discourse is light, yet rigorous and self-contained. Carefully selected problems offer the earnest reader perspectives into current research. The apogee chapter is devoted to the immersion of the daunting Riemann hypothesis into Hardy space framework … Nikolski's text is a truly masterful piece of scholarship.' Mihai Putinar, University of California, Santa Barbara'This is a comfortably paced introduction to the theory of Hardy spaces, starting at a level of advanced graduate students in analysis … Historical context and biographical details of the main researchers of the field is discussed more deeply than in comparable books.' M. Bona, Choice'To help the reader through this material, Nikolski is both an experienced educator and writer and knows how to present the material, efficiently … so the student can learn as well as appreciate the subject. Nikolski also gives us plenty of historical vignettes of the main figures in the development of Hardy spaces and, especially for the student, gives several appendices for those needing some gentle reminders of measure theory, complex analysis, Hilbert spaces, Banach spaces, and operator theory.' William T. Ross, Bulletin of the American Mathematical SocietyTable of ContentsThe origins of the subject; 1. The space H^2(T). An archetypal invariant subspace; 2. The H^p(D) classes. Canonical factorization and first applications; 3. The Smirnov class D and the maximum principle; 4. An introduction to weighted Fourier analysis; 5. Harmonic analysis and stationary filtering; 6. The Riemann hypothesis, dilations, and H^2 in the Hilbert multi-disk; Appendix A. Key notions of integration; Appendix B. Key notions of complex analysis; Appendix C. Key notions of Hilbert spaces; Appendix D. Key notions of Banach spaces; Appendix E. Key notions of linear operators; References; Notation; Index.
£55.09
Cambridge University Press Bounded Gaps Between Primes
Book SynopsisSearching for small gaps between consecutive primes is one way to approach the twin primes conjecture, one of the most celebrated unsolved problems in number theory. This book documents the remarkable developments of recent decades, whereby an upper bound on the known gap length between infinite numbers of consecutive primes has been reduced to a tractable finite size. The text is both introductory and complete: the detailed way in which results are proved is fully set out and plenty of background material is included. The reader journeys from selected historical theorems to the latest best result, exploring the contributions of a vast array of mathematicians, including Bombieri, Goldston, Motohashi, Pintz, Yildirim, Zhang, Maynard, Tao and Polymath8. The book is supported by a linked and freely-available package of computer programs. The material is suitable for graduate students and of interest to any mathematician curious about recent breakthroughs in the field.Trade Review'The author has gathered almost 100 year's worth of progress on this family of problems into one volume, and this alone will be very helpful to anyone pursuing research in the field. Recommended.' M. Bona, Choice'a wonderful tale of how two lesser-known mathematicians worked extremely hard to solve an intriguing, long-standing open problem that so many leading experts could not.' Sam Chow, London Mathematical SocietyTable of Contents1. Introduction; 2. The sieves of Brun and Selberg; 3. Early work; 4. The breakthrough of Goldston, Motohashi, Pintz, and Yildirim; 5. The astounding result of Yitang Zhang; 6. Maynard's radical simplification; 7. Polymath's refinements of Maynard's results; 8. Variations on Bombieri–Vinogradov; 9. Further work and the epilogue; Appendix A. Bessel functions of the first kind; Appendix B. A type of compact symmetric operator; Appendix C. Solving an optimization problem; Appendix D. A Brun–Titchmarsh inequality; Appendix E. The Weil exponential sum bound; Appendix F. Complex function theory; Appendix G. The dispersion method of Linnik; Appendix H. One thousand admissible tuples; Appendix I. PGpack mini-manual; References; Index.
£94.99
WW Norton & Co The Man from the Future The Visionary Life of
Book SynopsisAn electrifying biography of one of the most extraordinary scientists of the twentieth century and the world he made. Trade Review"[Bhattacharya's] crystal-clear prose…mak[es] for a tour de force of enjoyable science writing….[A] marvelously bracing biography of the ideas of John von Neumann, ideas that continue to grow and flourish with a life of their own." -- Stephen Budiansky - Wall Street Journal"Vivid…[The Man From the Future is] devoted to exploring the ideas and technological inquiries [von Neumann] inspired." -- Jennifer Szalai - New York Times"Lucid and rewarding….Bhattacharya composes a rich intellectual map of von Neumann’s pursuits, shading in their histories and evolutions, and tracing the routes and connections between them." -- Samanth Subramanian - The New Republic"Examines the tremendous impact von Neumann had on various scientific disciplines in eight exceptional chapters." -- Dov Greenbaum and Mark Gerstein - Science"Rather like the books of Stephen Hawking or Carlo Rovelli…this one is rewarding on different levels. Everyone can grasp the significance of the puzzles posed, and if readers want to follow the genius through the steps of his solutions then Bhattacharya is a clear and authoritative guide." -- The Economist"Offers us a striking portrait of a man who contributed as much to the technological transformation of the world as any other scientist of the 20th century…[A]lways engaging and generally illuminating." -- David Nirenberg - The Nation"Non-Euclidean geometry, set theory, the prisoner’s dilemma, Gödel’s incompleteness theorems, self-replicating machines, game theory and nonlocality are among the astonishing range of topics that science journalist Ananyo Bhattacharya covers as he takes us on a whistle-stop tour through Von Neumann’s restless mind…[A] splendid new biography." -- Manjit Kumar - Guardian"Bhattacharya both begins and concludes this impressive biography of John von Neumann by celebrating his contribution to the 'march of ideas.'" -- Francis P. Sempa - New York Journal of Books"Bhattacharya tells the story tremendously well, situating von Neumann’s work—in fields from quantum mechanics to game theory to cellular automata—as comfortably as I’ve ever seen it done. He’s also good at deadpan humor." -- David Bodanis - Financial Times"Bhattacharya is a first-class science writer with an impeccable pedigree and he does the best job I have seen of explaining the significance of von Neumann's work across many different fields… A fine tribute to von Neumann's genius and his contributions to science." -- John Gribbin - Literary Review"[An] agile, intelligent, intellectually enraptured account of Von Neumann’s life." -- Simon Ings - Sunday Telegraph"Any future intelligence capable of sending a representative back in time to help invent itself will be intelligent enough to conceal this from us. Ananyo Bhattacharya’s The Man from the Future is therefore unable to confirm this suggestion, but much else about John von Neumann’s presence in the twentieth century is revealed along the way." -- George Dyson, author of Turing's Cathedral"Despite his central contributions to the theory of computation, economics, logic, complexity, and quantum physics, somehow John von Neumann never became a household name to rival Einstein and Feynman. Ananyo Bhattacharya’s biography deserves to change that. Consistently clear and careful without sacrificing elegance or accessibility, it does full justice to this legendary figure of twentieth-century science." -- Philip Ball, author of Beyond Weird"An engaging and fascinating book that blends science and history. I loved it." -- Paul Davies, author of The Demon in the Machine"This is 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. The Man from the Future is a staggering achievement." -- Tim Harford, author of How to Make the World Add Up"More than just a biography, The Man from the Future elucidates the breath-taking scientific progress in the mid-20th century, skillfully woven together in the story of one man, John von Neumann." -- Sabine Hossenfelder, author of Lost in Math"A gripping tale of the most significant mathematical, scientific and geopolitical events of the early 20th century. Bhattacharya’s storytelling seamlessly weaves together the science, the vibrant social and historical context, and the private idiosyncrasies of John von Neumann and the fascinating geniuses around him, without mythologizing." -- Andrew Steele, author of Ageless"Sharp, expansive….A salient portrait of one of the most electrifying and productive scientists of the past century." -- Kirkus Reviews
£22.79
De Gruyter Vagueness in the Exact Sciences: Impacts in
Book Synopsis
£51.75
Oxford University Press The Molecular Vision of Life
Book SynopsisMolecular biology as a distinct scientific discipline had its origins in chemistry and physical biochemistry, gradually emerging in the period between 1930 and the elucidation of DNA in the mid 1950s. Today this field has risen to a dominant position, and with its focus on deciphering genetic structure, it has endowed scientists with unprecedented power over life. In this fascinating study, however, Lily Kay argues that molecular biology did not evolve in a random fashion but, rather, was the result of systematic efforts by key scientists and their supporting foundations to direct the development of biological research toward a preconceived vision of science and society. The author traces and analyses the conceptual roots of molecular biology and the social matrix in which it was developed, focusing on the role of leading researchers headquartered at Caltech, and on the Rockefeller Foundation''s sponsorship of the new science. The study thus explores a number of vital, sometimes controTrade Reviewthe book has the great merit to give insight in the expectation of young American scientists and in what troubles their minds! * Cellular and Molecular Biology, vol.43, no.5, July 1997 *Table of Contents1. "Social Control:" the Rockefeller Foundation's Agenda in the Human Sciences, 1913-1933 ; 2. The Technological Frontier: Southern California and the Emergence of Life Science at Caltech ; 3. Visions and Realitites: The Biology Division in the Morgan Era ; Interlude 1 - The Protein Paradigm ; 4. From Flies to Molecules: Physiological Genetics in the Morgan Era ; 5. A Convergence of Goals: From Physical Chemistry to Bio-Organic Chemistry ; 6. The Spoils of War: Immunochemistry and Serological Genetics, 1940-1945 ; 7. Microorganisms and Macromanagement: Beadle's Return to Caltech ; 8. The Molecular Empire
£62.70
Oxford University Press Mathematics and the Roots of Postmodern Thought
Book SynopsisThis is a charming and insightful contribution to an understanding of the Science Wars between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics, early in the 20th century then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straight forward, easily understood presentation of what can be difficult theoretical concepts and demonstrates that a pattern of misreading mathematics can be seen on both the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and is the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences.Trade ReviewThe book makes pleasant and interesting reading. * Mathematical Reviews *Table of Contents1: Introduction 2: Around the Cartesian Circuit 2.1: Imagination 2.2: Intuition 2.3: Counting to One 3: Space Oddity and Linguistic Turn 4: Wound of Language 4.1: Being and Time Continuum 4.2: Language and Will 5: Beyond the Code 5.1: Medium of Free Becoming 5.2: Nonpresence of Identity 6: The Expired Subject 6.1: Empire of Signs 6.2: Mechanical Bride 7: The Vanishing Author 8: Say Hello to the Structure Bubble 8.1: Algebra of Language 8.2: Functionalism Chic 9: Don't Think, Look 9.1: Interpolating the Self 9.2: Language Games 9.3: Thermostats "R" Us 10: Postmodern Enigmas 10.1: Unspeakable Diffd'erance 10.2: Dysfunctionalism Chic Notes Select Bibliography Index
£24.69
Oxford University Press The History of Mathematical Tables
Book SynopsisThe oldest known mathematical table was found in the ancient Sumerian city of Shuruppag in southern Iraq. Since then, tables have been an important feature of mathematical activity; table making and printed tabular matter are important precursors to modern computing and information processing. This book contains a series of articles summarising the technical, institutional and intellectual history of mathematical tables from earliest times until the late twentieth century. It covers mathematical tables (the most important computing aid for several hundred years until the 1960s), data tables (eg. Census tables), professional tables (eg. insurance tables), and spreadsheets - the most recent tabular innovation.The book is presented in a scholarly yet accessible way, making appropriate use of text boxes and illustrations. Each chapter has a frontispiece featuring a table along with a small illustration of the source where the table was first displayed. Most chapters have sidebars telling aTrade ReviewThe book itself is the fruit of a very good idea of the British Society for the History of Mathematics, which was to have a conference and then a book on the theme of mathematical tables, and the editors are to be congratulated on a handsome volume on the social history of mathematics. * Notes and Records of The Royal Society *Table of ContentsIntroduction ; Table and tabular formatting in Sumer, Babylonia and Assyria, 2500 BCE - 50 CE ; The making of logarithm tables ; The computation factory: de Prony's project for making tables in the 1790's ; Difference engines: from Muller to Comrie ; The 'unerring certainty of mechanical agency': machines and table making in the nineteenth century ; Table making in astronomy ; The General Registry Office and the tabulation of data, 1837 - 1939 ; Table making by committee; British table maker 1871 - 1965 ; Table making for the relief of labour ; The making of astronomical tables in H.M. Nautical Almanac Office ; The rise and rise of the spreadsheet ; Biographical Notes
£140.00
Oxford University Press, USA The Nine Chapters on the Mathematical Art Companion and Commentary
Book SynopsisThis text contains a translation of the "Nine Chapters". The "Nine Chapters" contains math problems and solutions, which fall into nine categories based on practical needs. There are methods for solving problems in areas such as land measurement, construction, agriculture, commerce, and taxation.Trade Reviewa rich compilation of attractive problems telling wonderful fairy tales full of imaginative and delightful connections * Zentralbaltt Mathematik *Table of ContentsIntroduction ; Liu Hui's Preface to his Running Commentary on the Nine Chapters ; 1. Field measurement ; 2. Millet and rice ; 3. Distribution by proportion ; 4. Short width ; 5. Construction consultations ; 6. Fair levies ; 7. Excess and deficit ; 8. Rectangular arrays ; 9. Right-angled triangles ; Appendix ; References ; Index
£455.00
Oxford University Press Brief History of Numbers
Book SynopsisThis is the story behind the idea of number, from the Pythagoreans, up until the turn of the 20th century, through Greek, Islamic & European mathematics.Trade ReviewCorry has compiled a readable account of the history of mathematics focusing on numbers, although for most of the period in question, arithmetic and geometry are not easily separable. The required level of sophistication of the reader is not great, it is certainly at the level of a first-year undergraduate, or a keen sixth-former who is studying mathematics. Even as an experienced university mathematician, the reviewer learnt many interesting things, and has some misconceptions remedied, on reading Corry's Brief History. * Robin Chapman, LMS Newsletter *This fine book gives what its title promises ... a well-written treatment of the subject. * Underwood Dudley, MAA Reviews *It is a highly recommended and pleasant read, not pedantic, but not casual either ... The book is written with great care ... * Adhemar Bultheel, European Mathematical Society *A Brief History of Numbers is a meticulously researched and carefully crafted look at how mathematicians have explored the concept of number. Corry's prose is clear and engaging, and the mathematical content is uniformly accessible to his audience. ... I highly recommend A Brief History of Numbers to mathematics teachers who wish to know more about how our current edifice of natural, rational, real, complex, and infinite numbers came to be built. * James V. Rauff, Mathematics Teacher *Table of Contents1. The System of Numbers: An Overview ; 2. Writing Numbers: Now and Back Then ; 3. Numbers and Magnitudes in the Greek Mathematical Tradition ; 4. Construction Problems and Numerical Problems in the Greek Mathematical Tradition ; 5. Numbers in the Tradition of Medieval Islam ; 6. Numbers in Europe from the 12th to the 16th Centuries ; 7. Number and Equations at the Beginning of the Scientific Revolution ; 8. Number and Equations in theWorks of Descartes, Newton, and their Contemporaries ; 9. New Definitions of Complex Numbers in the Early 19th Century ; 10. "What are numbers and what should they be?" Understanding Numbers in the Late 19th Century ; 11. Exact Definitions for the Natural Numbers: Dedekind, Peano and Frege ; 12. Numbers, Sets and Infinity. A Conceptual Breakthrough at the Turn of the Twentieth Century ; 13. Epilogue: Numbers in Historical Perspective
£41.79
OUP Oxford The Oxford Handbook of the History of Mathematics
Book SynopsisThis Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practise it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence is drawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, pTrade ReviewReview from previous edition "wonderful food for thought for any practitioner" * Times Higher Education Supplement *"a splendid, something-for-everybody treasure-trove of interesting, informative, challenging, well written testaments to the variety and vigor of history of mathematics in our time" * Historia Mathematica *"Well written, well edited and well rounded... a healthy contribution to a burgeoning field of newly self-aware research." * British Journal for the History of Science *Table of ContentsINTRODUCTION; GEOGRAPHIES AND CULTURES: GLOBAL; GEOGRAPHIES AND CULTURES: REGIONAL; GEOGRAPHIES AND CULTURES: LOCAL; PEOPLE AND PRACTICES: LIVES; PEOPLE AND PRACTICES: PRACTICES; PEOPLE AND PRACTICES: PRESENTATION; INTERACTIONS AND INTERPRETATIONS: INTELLECTUAL; INTERACTIONS AND INTERPRETATIONS: MATHEMATICAL; INTERACTIONS AND INTERPRETATIONS: HISTORICAL; ABOUT THE CONTRIBUTORS; INDEX
£42.99
Oxford University Press Combinatorics Ancient Modern
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£999.99
Oxford University Press Seduced by Logic
Book SynopsisThis is the fascinating story of two women who lives were guided by a passion for mathematics and an insatiable curiosity to know and understand the world around them -- the beautiful, outrageous Émilie du Châtelet and the charmingly subversive Mary Somerville. Against great odds, Émilie and Mary taught themselves mathematics, and did it so well that they each became a world authority on Newtonian mathematical physics.Seduced by Logic begins with Émilie du Châtelet, an 18th-century French aristocrat, intellectual, and Voltaire''s lover, whose true ambition was to be a mathematician. She strove not only to further Newton''s ideas in France, but to prove that they had French connections, including to the work of Descartes, whom Newton had read. She translated the great Principia Mathematica into French, in what became the accepted French version of Newton''s work, and was instrumental in bringing Newton''s revolutionary opus to a Continental audience. A century later, in Scotland, Mary STrade Review...timely reminder of how little things have changed since the 19th century and how much women of science can accomplish. * Wall Street Journal *Table of ContentsIntroduction ; 1 Madame Newton du Chatelet ; 2 Creating the theory of gravity: the Newtonian controversy ; 3 Learning mathematics and fighting for freedom ; 4 Emilie and Voltaire's Academy of Free Thought ; 5 Testing Newton: the'New Argonauts' ; 6 The danger in Newton: life, love and politics ; 7 The nature of light: Emilie takes on Newton ; 8 Searching for 'energy': Emilie discovers Leibniz ; 9 Mathematics and free will ; 10 The re-emergence of Madame Newton du Chatelet ; 11 Love letters to Saint-Lambert ; 12 Mourning Emilie ; 13 Mary Fairfax Somerville ; 14 The long road to fame ; 15 Mechanism of the Heavens ; 16 Mary's second book: popular science in the nineteenth century ; 17 Finding light waves: the 'Newtonian Revolution' comes of age ; 18 Mary Somerville: a fortunate life ; Epilogue: Declaring a point of view
£40.79
Palgrave MacMillan UK Femininity Mathematics and Science 18801914
Book SynopsisThrough the prism of gender, this text explores the contrasting cultures and practice of mathematics and science and asks how they impacted on women. Claire Jones assesses nineteenth-century ideas about women's intellect, femininity and masculinity, and assesses how these attitudes shaped women's experiences as students and practitioners.Trade ReviewWinner of the Women's History Network Book Prize 2010 'This excellent, thought-provoking study will deepen the understanding of all interested in gender issues and in the conflicts in science and mathematics in this period.' - Reviews in HistoryTable of ContentsList of Illustrations Acknowledgements Introduction The 'glamour' of a 'wrangler': Women and Mathematics at Girton College, Cambridge Women at the 'Shrine of Pure Thought' Professional or Pedestal?: Hertha Ayrton, a Woman among the Engineers Collaboration, Reputation and the Business of Mathematics The Laboratory: A Suitable Place for a Woman?: Women, Masculinity and Laboratory Culture The Mathematics of Gender: Women, Participation and the Mathematical Community Bodies of Controversy: Women and the Royal Society of London Conclusion Notes Bibliography
£44.99
Springer Godunov Methods Theory and Applications
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£237.49
Random House USA Inc Our Mathematical Universe
Book SynopsisMax Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
£17.10
Lulu Press Godels Proof
£11.25
Springer Mathematical Masterpieces
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£44.99
Springer Tales of Mathematicians and Physicists
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£85.49
Springer Analysis by Its History
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£29.99
Springer The Map of My Life
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£104.49
Springer THE MATHEMATICS OF MEASUREMENT
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£66.49
Springer The Heritage of Thales
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£66.49
Springer Analysis by Its History
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£49.99
Springer Mathematics Without Borders
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£42.74
Springer Stamping Through Mathematics
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£26.59
W. W. Norton & Company The Rainbow of Mathematics A History of the Mathematical Sciences
£33.25
Springer The Totalizing Act Key to Husserls Early Philosophy 112 Phaenomenologica
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£123.49
Springer Augustus De Morgan and the Logic of Relations
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Springer Physics Cosmology and Astronomy 13001700 Tension and Accommodation
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Springer Introduction to Classical Mathematics I From the Quadratic Reciprocity Law to the Uniformization Theorem Mathematics and Its Applications
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Springer Introduction to Classical Mathematics I
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Springer Fractions in Realistic Mathematics Education A Paradigm of Developmental Research 8 Mathematics Education Library
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Springer Kants Philosophy of Mathematics Modern Essays 219 Synthese Library
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Springer Euclids Heritage. Is Space ThreeDimensional
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Springer Trends in the Historiography of Science
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Springer Physics Philosophy and the Scientific Community
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