History of mathematics Books
Cambridge University Press The Mathematical Papers of Isaac Newton Volume 8 The Mathematical Papers of Sir Isaac Newton
Book SynopsisWhen Newton left Cambridge in April 1696 to take up, at the age of 53, a new career at the London Mint, he did not entirely 'leave off Mathematicks' as he so often publicly declared. This last volume of his mathematical papers presents the extant record of the investigations which for one reason and another he pursued during the last quarter of his life. In January 1697 Newton was tempted to respond to two challenges issued by Johann Bernoulli to the international community of mathematicians, one the celebrated problem of identifying the brachistochrone; both he resolved within the space of an evening, producing an elegant construction of the cycloid which he identified to be the curve of fall in least time. In the autumn of 1703, the appearance of work on 'inverse fluxions' by George Cheyne similarly provoked him to prepare his own ten-year-old treatise De Quadratura Curvarum for publication, and more importantly to write a long introduction to it where he set down what became his besTable of ContentsPart I. Solutions to Challenge-Problems, Revisions of Earlier Researches, and General Retrospections: 1. The Twin Problems of Bernoulli's 1697 'Programma' solved; 2. The 'De Quadratura Curvarum' Revised for Publication; 3. Miscellaneous Writings on Mathematics; 4. The 'Method of [Finite] Differences'; 5. The 'De Quadratura' Amplified as an 'Analysis per Quantitates Fluentes et Earum Momenta'; 6. Proposition X of the Principa's Second Book Reworked; 7. Response to Bernoulli's Second Problem; 8. Analysis and Synthsis: Newton's Declaration of the Manner of their Application in the 'Principia'; 9. Minor Compliments to the 'Arithemetica Universalis'; Part II. Newton's Varied Efforts to Substantiate His Claims to Calculus Priority: Appendix 1; Appendix 2; Appendix 3; Appendix 4; Appendix 5; Appendix 6; Appendix 7; Appendix 8; Appendix 9; Appendix 10; Index of Names
£41.79
Cambridge University Press The Mathematical Papers of Isaac Newton Volume 1 The Mathematical Papers of Sir Isaac Newton
Book SynopsisThe bringing together, in an annotated and critical edition, of all the known mathematical papers of Isaac Newton marks a step forward in the publication of the works of this great natural philosopher. In all, there are eight volumes in this present edition. Translations of papers in Latin face the original text and notes are printed on the page-openings to which they refer, so far as possible. Each volume contains a short index of names only and an analytical table of contents; a comprehensive index to the complete work is included in Volume VIII. Volume I covers three exceptionally productive years: Newton's final year as an undergraduate at Trinity College, Cambridge, and the two following years, part of which were spent at his home in Lincolnshire on account of the closure of the university during an outbreak of bubonic plague.Table of ContentsPart I. The First Mathematical Annotations 1664–1665: 1. Annotations from Oughtred, Descartes, Schooten and Huygens; 2. Annotations from Viete and Oughtred; 3. Annotations from Wallis; Part II. Researches in Analytical Geometry and Calculus 1664–1666: 1. Early notes on Analytical Geometry; 2. Work on the Cartesian Subnormal; 3. Miscellaneous Problems in Analytical Geometry and Calculus; 4. Normals, Curvature and the Resolution of the General Problem of Tangents; 5. The Calculus Becomes an Algorithm; 6. The General Problems of Tangents, Curvature and Limit-Motion Analysed by the Method of Fluxions; 7. The October 1966 Tract of Fluxions; Part III. Miscellaneous Early Mathematical Researches 1664–1666: 1. Early Scraps in Newton's Waste Book; 2. Early Work in Trigonometry; 3. The Theory and Construction of Equations; 4. Miscellaneous Researches in Arithmetic, Number Theory and Geometry; Appendix
£51.29
Cambridge University Press Leibniz in Paris 16721676
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£42.74
Cambridge University Press Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages
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£42.74
Cambridge University Press The Development of Newtonian Calculus in Britain 1700 1800
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£112.22
Cambridge University Press Symbols Impossible Numbers and Geometric Entanglements
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£99.00
Cambridge University Press The Mathematical Work of Charles Babbage
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£40.84
Cambridge University Press The Development of Newtonian Calculus in Britain 1700 1800
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£40.84
Cambridge University Press Shaping Deduction Greek Mathematics A Study in Cognitive History 51 Ideas in Context Series Number 51
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£41.83
Cambridge University Press Cauchy and the Creation of Complex Function Theory
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£105.45
Cambridge University Press The Shaping of Deduction in Greek Mathematics A Study in Cognitive History 51 Ideas in Context Series Number 51
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£118.75
Cambridge University Press Pappus of Alexandria and the Mathematics of Late Antiquity
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£86.44
Cambridge University Press Hidden Unity in Natures Laws
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£86.44
Cambridge University Press From Newton to Hawking A History of Cambridge Universitys Lucasian Professors of Mathematics
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£98.52
Cambridge University Press From Newton to Hawking A History of Cambridge Universitys Lucasian Professors of Mathematics
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£29.44
Cambridge University Press Architecture and Mathematics in Ancient Egypt
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£85.49
Cambridge University Press The Transformation of Mathematics in the Early Mediterranean World
Book SynopsisThis book analyzes the historical transformation of early mathematics, from a Greek practice based on the localized solution to an Islamic practice based on the systematic approach. The transformation is accounted for in terms of changing social practices, thereby offering an alternate interpretation of the historical trajectory of mathematics.Trade Review"For the true mathematics historian, this is a fascinating exploration, perhaps different from one's previous ideas of this time period. Highly recommended." M.D. Sanford, Felician College"...engaging, provocative, and definitely worth reading and thinking about." MAA Reviews, Fernando Q. Gouvea"...recommended reading--for its thought-provoking ideas and lively writing--for those with a serious interest in the mathematics of ancient Greece and medieval Islam." - Mathematical Reviews, J.L. BerggrenTable of ContentsAcknowledgements; Introduction; 1. The problem in the world of Archimedes; 2. From Archimedes to Eutocius; 3. From Archimedes to Khayyam; Conclusion; References; Index.
£92.14
Cambridge University Press The Emergence of Probability
Book SynopsisHistorical records show that there was no real concept of probability in Europe before the mid-seventeenth century, although the use of dice and other randomizing objects was commonplace. First published in 1975, this edition includes an introduction that contextualizes his book in light of developing philosophical trends.Trade Review"A fascinating in-depth study of the philosophical aspects of the concept of probability during its founding days." Andreas Karlsson, Uppsala University"[Hacking's] knowledge of the pertinent literature is considerable and the vigorous style of writing makes for enjoyable reading. Hacking states that his book was not written as history: be that as it may, but anyone who is interested in the history of probability and statistics, either as a philosopher or as a statistician, will find much here to think about." A.I. Dale, Mathematical ReviewsTable of ContentsIntroduction; 1. An absent family of ideas; 2. Duality; 3. Opinion; 4. Evidence; 5. Signs; 6. The first calculations; 7. The Roannez circle; 8. The great decision; 9. The art of thinking; 10. Probability and the law; 11. Expectation; 12. Political arithmetic; 13. Annuities; 14. Equipossibility; 15. Inductive logic; 16. The art of conjecturing; 17. The first limit theorem; 18. Design; 19. Induction.
£76.94
Cambridge University Press Ludic Proof
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£31.90
Cambridge University Press Underground Mathematics
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£71.25
Cambridge University Press The Materiality of Numbers
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£95.00
Cambridge University Press Lakatos and the Historical Approach to Philosophy of Mathematics
Book SynopsisThis Element gives a detailed analysis of Imre Lakatos' ideas on the philosophy of mathematics. It also gives an account of how other researchers developed this approach after his death, what has been achieved so far, and what its prospects for the future might be.Table of Contents1. Introduction; 2. Lakatos' contribution to the philosophy of mathematics; 3. Lakatos' legacy in the philosophy of mathematics I (1975–1995); 4. Lakatos' legacy in the philosophy of mathematics II (1996–2023); 5. Concluding remarks; References.
£17.00
Cambridge University Press Lakatos and the Historical Approach to Philosophy of Mathematics
Book SynopsisThis Element gives a detailed analysis of Imre Lakatos' ideas on the philosophy of mathematics. It also gives an account of how other researchers developed this approach after his death, what has been achieved so far, and what its prospects for the future might be.Table of Contents1. Introduction; 2. Lakatos' contribution to the philosophy of mathematics; 3. Lakatos' legacy in the philosophy of mathematics I (1975–1995); 4. Lakatos' legacy in the philosophy of mathematics II (1996–2023); 5. Concluding remarks; References.
£47.49
Cambridge University Press The Thirteen Books of Euclids Elements Volume 1 Introduction and Books I II
Book SynopsisAfter studying both classics and mathematics at the University of Cambridge, Sir Thomas Little Heath (1861â1940) used his time away from his job as a civil servant to publish many works on the subject of ancient mathematics, both popular and academic. First published in 1926 as the second edition of a 1908 original, this book contains the first volume of his three-volume English translation of the thirteen books of Euclid's Elements, covering Books One and Two. This detailed text will be of value to anyone with an interest in Greek geometry and the history of mathematics.Table of ContentsIntroduction: 1. Euclid and the traditions about him; 2. Euclid's other works; 3. Greek commentators other than Proclus; 4. Proclus and his sources; 5. The text; 6. The scholia; 7. Euclid in Arabia; 8. Principal translations and editions; 9. On the nature of elements; The Elements: Book I: Definitions, postulates, common notions; Notes on definitions etc.; Propositions; Book II: Definitions; Note on geometrical algebra; Propositions; Excursus I. Pythagoras and the Pythagoreans; Excursus II. Popular names for Euclidean propositions; Greek index to vol. 1; English index to vol. 1.
£27.99
Cambridge University Press Orders of Infinity The Infinitarcalcul Of Paul Du BoisReymond Cambridge Tracts in Mathematics
Book SynopsisOriginally published in 1910 as number twelve in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides an up-to-date version of Du Bois-Reymond's InfinitÃrcalcÃl by the celebrated English mathematician G. H. Hardy. This tract will be of value to anyone with an interest in the history of mathematics or the theory of functions.Table of Contents1. Introduction; 2. Scales of infinity in general; 3. Logarithmico-exponential scales; 4. Special problems connected with logarithmico-exponential scales; 5. Functions which do not conform to any logarithmico-exponential scale; 6. Differentiation and integration; 7. Some developments of Du Bois-Reymond's Infinitärcalcül; Appendix 1. General bibliography; Appendix 2. A sketch of some applications, with references; Appendix 3. Some numerical results.
£22.18
Cambridge University Press Collected Papers of Srinivasa Ramanujan
Book SynopsisOriginally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (18871920), with editorial contributions from G. H. Hardy (18771947). Detailed notes are incorporated throughout and appendices are also included.Trade Review'[The book] is introduced by a pair of notes which are sources of wonderful information about Ramanujan in their own right, both as regards his life and his mathematics. After that it is all about his mathematics: thirty-seven articles on number theory, infinite series, integrals, and combinatorics. It is all stunning, both by virtue of the content of these articles and because of the idiosyncrasy of their author.' Michael Berg, MAA ReviewsTable of ContentsPreface; Notice P. V. Seshu and R. Bamachaundra Rao; Notice G. H. Hardy; Part I. Papers: 1. Some properties of Bernoulli's numbers; 2. On question 330 of Prof. Sanjana; 3. Note on a set of simultaneous equations; 4. Irregular numbers; 5. Squaring the circle; 6. Modular equations and approximations to π; 7. On the integral [...]; 8. On the number of divisors of a number; 9. On the sum of the square roots of the first n natural numbers; 10. On the product [...]; 11. Some definite integrals; 12. Some definite integrals connected with Gauss's sums; 13. Summation of a certain series; 14. New expression for Riemann's functions [...]; 15. Highly composite numbers; 16. On certain infinite series; 17. Some formulae in the analytic theory of numbers; 18. On certain arithmetical functions; 19. A series of Euler's constant y; 20. On the expression of a number in the form of ax2+by2+cz2+du2; 21. On certain trigonometrical sums and their applications in the theory of numbers; 22. Some definite integrals; 23. Some definite integrals; 24. A proof of Bertrand's postulate; 25. Some properties of p (n), the number of partitions of n; 26. Proof of certain identities in combinatory analysis; 27. A class of definite integrals; 28. Congruence properties of partitions; 29. Algebraic relations between certain infinite products; 30. Congruence properties of partitions; 29. Algebraic relations between certain infinite products; 30. Congruence properties of partitions; Part II. Papers Written in Collaboration with G. H. Hardy: 31. Une formule asymptotique pour le nombre des partitions de n; 32. Proof that almost all numbers n are composed of about log log n prime factors; 33. Asymptotic formulae in combinatory analysis; 34. Asymptotic formulae for the distribution of integers of various types; 35. The normal number of prime factors of a number n; 36. Asymptotic formulae in combinatory analysis; 37. On the coefficients in the expansions of certain modular functions; Questions and solutions; Appendix 1. Notes on the papers; Appendix 2. Further extracts from Ramanujan's letters to G. H. Hardy.
£41.99
Cambridge University Press The Combination of Observations
Book SynopsisFirst published in 1931, this book is the second edition of a 1917 original. The text provides an account of the method of least squares, aiming to obtain the best interpretation of the results of experiment without consideration of the way in which these results are obtained.Table of Contents1. Errors of observation; 2. The law of error; 3. The case of one unknown; 4. Observations of a different weight; 5. The general problem of the adjustment of indirect observations involving several unknown quantities; 6. Evaluation of the most probable values of the unknowns, their weights and probable errors; 7. The adjustment of conditioned observations; 8. The rejection of observations; 9. Alternatives to the normal law of errors; 10. Correlation; 11. Harmonic analysis; 12. The periodogram; Appendices; Index.
£27.99
Cambridge University Press A Synopsis of Elementary Results in Pure and Applied Mathematics Containing Propositions Formulae And Methods Of Analysis With Abridged Cambridge Library Collection Mathematics
Book SynopsisWhen George Shoobridge Carr (1837â1914) wrote his Synopsis of Elementary Results he intended it as an aid to students preparing for degree-level examinations such as the Cambridge Mathematical Tripos, for which he provided private tuition. He would have been startled to see the two volumes, first published in 1880 and 1886 respectively, reissued more than a century later. Notably, in 1903 the work fell into the hands of the Indian prodigy Srinivasa Ramanujan (1887â1920) and greatly influenced his mathematical education. It is the interaction between a methodical teaching aid and the soaring spirit of a self-taught genius which gives this reissue its interest. Volume 2 contains sections on differential calculus, integral calculus, calculus of variations, differential equations, calculus of finite differences, plane coordinate geometry and solid coordinate geometry. Also included is a historically valuable index insofar as it provides references to 890 volumes of 32 periodicals dating baTable of ContentsPart II. 8. Differential calculus; 9. Integral calculus; 10. Calculus of variations; 11. Differential equations; 12. Calculus of finite differences; 13. Plane coordinate geometry; 14. Solid coordinate geometry; Joint index to the Synopsis and to the papers on pure mathematics contained in the undermentioned British and foreign journals and transactions of societies.
£54.14
Cambridge University Press The Doctrine of Chances Or A Method Of Calculating The Probability Of Events In Play Cambridge Library Collection Mathematics
Book SynopsisThe French mathematician Abraham de Moivre (1667–1754) is remembered for his formula which relates complex numbers and trigonometry. Reissued here is the revised and expanded 1738 second edition of the influential textbook on probability theory that he first published in English in 1718.Table of ContentsDedication; Preface; Advertisement to the second edition; Introduction; Solutions of several sorts of problems.
£34.99
Cambridge University Press A History of Greek Mathematics Volume 1 Cambridge Library Collection Classics
Book SynopsisPublished in 1921 and aimed at mathematicians and classicists, this rigorous two-volume work traces ancient Greek mathematics from Thales of Miletus to the achievements of the Alexandrian algebraists. Volume 1 includes an introduction and a section on numerical notation and arithmetical operations. The coverage begins with Thales and extends to Euclid.Table of ContentsPreface; 1. Introductory; 2. Greek numerical notation and arithmetical operations; 3. Pythagorean arithmetic; 4. The earliest Greek geometry; 5. Pythagorean geometry; 6. Progress in the elements down to Plato's time; 7. Special problems; 8. Zeno of Elea; 9. Plato; 10. From Plato to Euclid; 11. Euclid.
£38.99
Cambridge University Press A History of Greek Mathematics Volume 2 Cambridge Library Collection Classics
Book SynopsisPublished in 1921 and aimed at mathematicians and classicists, this rigorous two-volume work traces ancient Greek mathematics from Thales of Miletus to the achievements of the Alexandrian algebraists. The coverage in Volume 2 begins with Aristarchus of Samos and Archimedes, extending to the algebra of Diophantus of Alexandria.Table of Contents12. Aristarchus of Samos; 13. Archimedes; 14. Conic sections; 15. The successors of the great geometers; 16. Some handbooks; 17. Trigonometry; 18. Mensuration; 19. Pappus of Alexandria; 20. Algebra; 21. Commentators and Byzantines; Appendix; Index of Greek words; English Index.
£46.54
Cambridge University Press The Common Sense of the Exact Sciences Cambridge Library Collection Physical Sciences
Book SynopsisThe mathematician William Kingdon Clifford (184579) intended this work to be intelligible to non-specialists. Unfinished at his death, the book was completed by Karl Pearson and published in 1885. It explores five fundamental areas of mathematics - number, space, quantity, position and motion - delivering several original results along the way.Table of ContentsPreface; 1. Number; 2. Space; 3. Quantity; 4. Position; 5. Motion.
£27.99
Cambridge University Press A Concise History of Mathematics for Philosophers
Presents an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. Ranges from ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous.
£17.00
Cambridge University Press An Introduction to Automatic Digital Computers
Book SynopsisOriginally published in 1960, this textbook is aimed at those without advanced mathematical training and provides a comprehensive introductory account of digital computers, what they are capable of doing and how they are made to do it. Throughout the book the emphasis is on the applications of computers to routine work rather than to advanced research.Table of ContentsList of plates; Preface to the first edition; Preface to the second edition; 1. The elements of programming; 2. Input, storage and output of numbers; 3. The organization of programmes; 4. The solution of engineering problems; References for further reading; Index.
£29.99
OUP India The Philosophy of Science A Companion
Book Synopsis
£44.31
Firefly Books Ltd The Puzzle Universe
Book SynopsisA history of mathematics in 315 puzzles by a renowned puzzle master and games inventor which presents new and traditional puzzles and explains their origin and historical context.Trade Review[Review of hardcover edition: ] Would make a great gift for a mathematically minded friend or family member.--Mike"Dr. Mike's Blog" (06/06/2016) [Review of hardcover edition: ] First things first: To ease your mind, yes, this book includes an answer section as well. But Moscovich, a celebrated puzzle inventor, makes a compelling case for puzzle solving as a means of developing creativity and even intelligence, so you might want to give it a go to solve a few on your own before consulting the answers. Colorful illustrations are mixed with historical notes about famous mathematicians, all kinds of puzzles and games, and discussions of objects ranging from gears to the Sphinx-making this book all the more engaging for puzzle enthusiasts and those interested in the history of science. Gift Guide 2015 Selection.-- (12/18/2015) [Review of hardcover edition: ] The Puzzle Universe is a quixotic, informative, and enlightening encyclopedia of recreational mathematics. It should prove to be an inspiration to mathematical idlers, and a rich resource for learners and teachers who wish to be attuned to the playful and creative side of mathematics.-- (12/17/2015) [Review of hardcover edition: ] Having read several of Ivan Moscovich's previous puzzle books, I was not surprised in thumbing through it to find a wonderful collection of puzzles and problems to challenge mathematicians of all ages and levels, and all presented in beautiful color. What seems to be even newer here is a larger focus on the historical nature of the problems in the development of mathematics... Check out what I believe may be the most beautiful coffee table holiday gift for all the puzzle lovers on your Christmas list.-- (11/15/2015) [Review of hardcover edition: ] A great read for anyone interested in puzzles or mathematics.--Publishers Weekly (11/01/2016) [Review of hardcover edition: ] This trove contains puzzles, brain teasers and games, some of which date back thousands of years.--Keith Blanchard"Wall Street Journal" (11/17/2015)
£24.24
Bantam Doubleday Dell Publishing Group Inc Fermats Enigma
Book Synopsis
£16.15
WW Norton & Co The Great Equations
Book SynopsisAny reader who aspires to be scientifically literate will find this a good starting place.-Publishers WeeklyTrade Review"More than just a celebration of the great equations…[Crease] shows how an equation not only affects science and math but also transforms the thinking of all people." -- Dick Teresi"Wry, probing, philosophically inclined." -- Charles C. Mann, author of 1491: New Revelations of the Americas Before Columbus
£12.99
Johns Hopkins University Press Cogwheels of the Mind
Book SynopsisFor anyone interested in mathematics or its history, Cogwheels of the Mind is invaluable and compelling reading.Trade ReviewEdwards arrives with this pleasing little history about who John Venn was, why he conceived of the diagram, and the properties that lie secreted beneath such a seemingly simple mathematical object... A world-class authority, Edwards... proves himself wholly accessible to anyone interested in reading about mathematics. Booklist Deserves to become a minor classic and may well go on to make many friends for mathematics. -- Jeremy Gray Nature 2004 Entertaining. Boston Sunday Globe Edwards is a charming if earnest guide, and the many illustrations of the beautiful cogwheels will fascinate and satisfy. -- Ben Longstaff New Scientist The kind of book that I can imagine giving to a wide range of readers: any junior high student would be able to follow the mathematics, and most professors would find it interesting... I found it to be a nice-if light-read, and it is well worth a look. -- Darren Glass MAA Online Many excellent and graphically exciting illustrations of Venn diagrams transform what might have been a simple math book into one that shows that mathematics can generate pictures that could be considered... in the forefront of modern art. School Library Journal Give this book to any youngster with an enquiring mind, and watch delight develop. -- John Haigh Significance 2004 There is a nice balance between personal anecdotes, history, aesthetics and attention to detail... The overall result should become something of a classic. -- B. I. Henry The Physicist Venn diagrams are familiar as pictorial representations of relationships among sets, and statistician Edwards discusses their development... He shows how to interlink shapes to form beautiful Venn diagrams. Choice 2004 I heartily recommend it for readers interested in knowing more about John Venn and the geometric properties of Venn diagrams. It will also be appreciated by those interested in the process of mathematical discovery. -- Frank Ruskey American Scientist An insightful history of the diagrams. Scientific American 2004 Lovely little book... which should not be summarized. It should be bought and enjoyed first-hand. It is a book in which mathematics and its history are combined in a lovely autobiographical account of a voyage of discovery. The mathematics is interesting, the history is interesting, the personal account is interesting, and the book, with its elegant full-colour pictures and diagrams is beautifully produced. The author and his publisher are to be warmly thanked and congratulated. -- Peter M. Neumann British Society for the History of Mathematics Bulletin 2004 A short book, with a fittingly large number of illustrations, it summarizes a wealth of logical and geometric ideas. -- Rob Hardy The Times of Acadiana 2005 If you have an interest in the history of mathematical ideas and the creative process of mathematicians, then I recommend this book. -- John Wilkins Mathematics Teacher 2005 Edwards' fascinating study relates this invention to the study of mathematics, scientific thought, graphic design, and modern art. School Library Journal 2005 A very short readable book on attempts to physically represent the intersection of any number of sets. -- Jim Kiernan Convergence 2005 There is no better place to start than with Cogwheels of the Mind. -- Frank Ruskey American Scientist 2005 This is a wonderful book which should be taken simply for what it is, the story of the Venn-Edwards diagrams. -- Amirouche Moktefi Review of Modern Logic 2005 An engaging, very readable, and profusely illustrated account. Historia Mathematica 2006 An easy, friendly, and enlightening book to read... Would be of particular interest to college professors, especially those involved in teaching a History of Mathematics class and/or a Graph theory class. -- Darlinda Cassel School Science and Mathematics 2007Table of ContentsForewordPrefaceChapter 1. John Venn and His Logic DiagramChapter 2. Rings, Flags, and BallsChapter 3. Five and More SetsChapter 4. The Gray Code, Binomial Coefficients, and the Revolving-Door AlgorithmChapter 5. Cosine Curves and Sine CurvesChapter 6. Ironing the HypercubeChapter 7. Diagrams with Rotational SymmetryAppendix 1. Metrical Venn DiagramsAppendix 2. A Rotatable Edwards–Venn DiagramReferencesIndex
£32.59
Johns Hopkins University Press Arthur Cayley Mathematician Laureate of the
Book SynopsisComprehensive and elegantly composed, this biography makes clear the scope of Arthur Cayley's prodigious achievements, firmly enshrining him as the Mathematician Laureate of the Victorian Age.Trade ReviewThe real subject of Crilly's monumental biography is the surrounding galaxy of British mathematicians and milieu in which they operated. Nature 2006 Fluid, readable style... Highly recommended. Choice 2006 This well-written biography... is full of shrewd observation and careful analysis. -- Jeremy Gray MAA Online 2006 First full-length account of Cayley's life... Anyone interested in the emerging role of the research mathematician in England will find Crilly's book particularly rewarding. American Scientist 2006 Crilly's book is a beautifully written account of Cayley's life and of British mathematics in the 19th century. -- David Singerman London Mathematical Society Newsletter 2007 I highly recommend Arthur Cayley: Mathematician Laureate of the Victorian Age as a valuable addition to one's personal or institutional library. There is everything to enjoy about this book: the writing, the content, the essential tribute to Cayley's life and contributions. -- Kathleen M. Clark Convergence 2007 The reader of Crilly's book will come away with an appreciation of the quality and breadth of Cayley's mathematical writings. -- Francine F. Abeles Isis 2007 A well-written and thorough account of its subject... a wealth of useful and well-researched information that is difficult to find elsewhere. -- Robin Wilson Historia Mathematica 2006 Recommended to those who are not specialists in mathematics and are interested in historico-cultural or social science aspects... An instructive book accessible to the reader. -- Karl-Neinz Schlote Mathematical Reviews 2008 A scholarly work of the highest quality. It should be in every university library, and I recommend it to all who wish to delve deeply into the life of Arthur Cayley. -- Henry E. Heatherly Mathematical Intelligencer 2008 [ Arthur Cayley] gives a broad picture of the developments in mathematics and society over the nineteenth century. -- Thomas Banchoff Victorian Studies 2009Table of ContentsAcknowldgmentsIntroductionChronologyGenealogyPart I. Growing Up, 1821-18431. Early Years2. A Cambridge Prodigy3. Coming of AgePart II. New Vistas, 1844-18494. A Mathematical Medly5. From a Fenland Base6. The Pupil BarristerPart III. A Rising Star, 1850-19627. Barrister-at-Law8. A Grand Design9. Without Portfolio10. The Road to AcademePart IV. The High Plateau, 1863-188211. The Mathematician Laureate12. Years of Challenge13. A Representative Man14. March On with Step SublimePart V. Make One Music as Before, 1882-189515. "A Tract of Beautiful Coutry"16. The Old Man of mathematics17. Last YearsAppendix AAppendix BAbbreviationsNotesBibliographyIndex
£67.00
Walker & Co The Golden Section
Book Synopsis
£13.50
Farrar, Straus and Giroux A Divine Language
Book SynopsisA New York Times Book Review Editors'' ChoiceWilkinson has accomplished something more moving and original, braiding his stumbling attempts to get better at math with his deepening awareness that there's an entire universe of understanding that will, in some fundamental sense, forever lie outside his reach. Jennifer Szalai, The New York Times There is almost no writer I admire as much as I do Alec Wilkinson. His work has enduring brilliance and humanity. Susan Orlean, author of The Library Book A spirited, metaphysical exploration into math''s deepest mysteries and conundrums at the crux of middle age.Decades after struggling to understand math as a boy, Alec Wilkinson decides to embark on a journey to learn it as a middle-aged man. What begins as a personal challengeand it''s challengingsoon transforms into something greater than a belabored effort to learn math. Despite his incompetence, Wilkinson enc
£23.20
WW Norton & Co The Big Bang of Numbers How to Build the
Book SynopsisTrade Review"Infinitely fascinating…[Suri] succeeds in making slippery ideas easy to grasp." -- Stephen Bleach - Times [UK]"Some of the math books out there are difficult to read, but [The Big Bang of Numbers] isn’t one of them…[A]n elegant journey explaining why we have the number and math systems that we have." -- David Hu - Five Books"By limiting the formulas and equations, [Manil Suri] has created a very readable tour that emphasizes ideas over calculation." -- Physics Today"[The Big Bang of Numbers] explains how understanding math helps you understand the universe." -- Marketplace Tech"Imaginative and organized; [Suri] presents his materials clearly with nice graphics." -- Peter Pesic - Wall Street Journal"A beautifully written meditation on mathematics: whimsical, thought-provoking, and deep." -- Alex Bellos, author of Alex’s Adventures in Numberland"In The Big Bang of Numbers, Manil Suri invites the reader to create a universe made of mathematical ideas, sparking a thrill that may catch you off guard—an exhilarating sensation of playfulness, power, and insight." -- Steven Strogatz, New York Times bestselling author of Infinite Powers and The Joy of x"Who knew numbers could be so charming? So industrious? Suri takes us on a lighthearted journey all the way from nothing (zero) to infinity. Math has rarely been so readable." -- Karen Joy Fowler, New York Times bestselling author of We Are All Completely Beside Ourselves"A most unusual, creative, and fascinating account of mathematics that relies not on equations or formulas, but on real-life examples, metaphors, paradoxes, and lovely vignettes." -- John Allen Paulos, author of Innumeracy and A Mathematician Reads the Newspaper"A great sneak peek ahead for anyone interested in mathematical ideas, but bored by the lack of conceptual depth in their introductory math classes." -- Mathematical Association of America"A visual pleasure to read…[Manil Suri] is a smooth, stylish writer." -- Business Standard"[Suri] successfully explores many areas of seemingly pure math that explain the natural world... He also sheds light on abstruse subjects (fractals, infinity, curved space) that puzzle humans more than they should, creating a text that is deeper than most popular writing on math but worth the effort. A successful contribution to the math-isn’t-boring genre." -- Kirkus Reviews"Suri takes on the challenge of developing mathematics from scratch in this high concept thought experiment." -- Publishers Weekly
£15.99
Johns Hopkins University Press Mathematical Expeditions
Book SynopsisAlong the way, he tells us what various cultures knew about math and how they came to learn it, providing instructors with a wonderful way to incorporate multicultural mathematics into the middle school, high school, and college classroom.Trade ReviewSwetz has collected word problems, or story problems, used to teach mathematics around the world and throughout history, so mathematics teachers in middle and secondary schools can use them today. University students of mathematics and its history might also find them useful as well as entertaining. Reference and Research Book News Mathematical Expeditions is a wonderful resource for any teacher who would like to use old problems in a course to help students understand the context of mathematical ideas. -- Victor J. Katz Mathematical Reviews The book is well thought-out and is recommended to readers interested in the history of mathematics. -- E. Keith Lloyd London Mathematical Society Newsletter One of my graduate students, who is majoring in mathematics, was excited when I showed her a sample of problems in the book. A month later, she asked whether I had finished my review-she wanted to borrow the book! -- Winifred A. Mallam Mathematics TeacherTable of ContentsPreface1. Word Problems: Footprints from the History of Mathematics2. Problems, Problems: A Resource for Teaching3. Ancient Babylonia (2002–1000 BCE)4. Ancient Egypt5. Ancient Greece6. Ancient China7. India8. Islam9. Medieval Europe10. Renaissance Europe11. Japanese Temple Problems12. The Ladies Diary (1704–1841)13. Nineteenth-Century Victorian Problems14. Eighteenth- and Nineteenth-Century American Problems15. Problems from the Farmer's Almanac16. Nineteenth-Century Calculus Problems17. Some Sample Problem Solution Methods18. Where to from Here? Where Do You Want to Go?AcknowledgmentsAnswers to Numbered ProblemsGlossary of Strange and Exotic Terms: Measurements, Monetary Units, and Culturally Relevant WordsBibliographyIndex
£55.50
Johns Hopkins University Press Mathematics in TwentiethCentury Literature and
Book SynopsisAn insightful tour of the great masters of the last century and an argument that challenges long-held paradigms, Mathematics in Twentieth-Century Literature and Art will appeal to mathematicians, humanists, and artists, as well as instructors teaching the connections among math, literature, and art.Trade ReviewFor those viewing mathematics and the creative arts as distinctly separate endeavors, Tubbs provides an insightful treatise that proves otherwise... Though the content of Tubbs's book is challenging, it is also accessible and should interest many on both sides of the perceived divide between mathematics and the arts. Choice A fascinating journey through the works of modern art and literature... This book can be seen as a guide to understanding the various movements that emerged within artistic circles in the 20th century. Tubbs does an excellent job of leading the reader through this world of ideas, gently guiding the non-mathematicians through the panorama of advanced mathematics, and mathematicians and those who are artistically naive to an appreciate of the world of modern art and literature... The book serves as a compass to guide the reader to a better understanding of modern art. -- Jay Kapraff LMS Newsletter A beautiful narration... Every chapter is well balanced between the mathematical side and the art side. -- Riccardo Moschetti Zentralblatt Math Books like Mathematics in Twentieth-Century Literature and Art help us get rid of prejudices, and indeed open our eyes to see. -- Capi Corrales-Rodriganez Mathematical Reviews Tubbs's exposition proves so clear and thorough that the mathematical novice reading Mathematics in Twentieth-Century Literature and Art receives an introductory course in the fundamentals of higher mathematics... Reluctant mathematicians will be delighted to discover that Tubbs's mathematical explanations afford new analyses of canonical artworks. Make Literary MagazineTable of ContentsPrefaceChronology1. Surrealist Writing, Mathematical Surfaces, and New GeometriesMathematical Imagery and ImagesMan Ray and Mathematical SurfacesGeometries, Flat and Curved2. Objects, Axioms, and ConstraintsBlack Squares and AxiomsGeometry without Objects / Literature without Words3. Abstraction in Art, Literature, and MathematicsThe White PaintingsAbstract NumbersStructure4. Literature, the Möbius Strip, and Infinite NumbersConcrete ArtThe Möbius Strip and LiteratureConcrete Mathematics and Infinite Numbers5. Klein Forms and the Fourth DimensionIn the LabyrinthSurfaces, Mysticism, and the Fourth Dimension6. Paths, Graphs, and TextsLiterature and ChoiceMathematical Graph TheoryA Play Based on a Graph7. Poetry, Permutations, and Zeckendorf's TheoremStructured and Programmed PoemsConcrete Poetry and Mathematical Images8. Numbers and MeaningTargets, Numbers, and EquationsNumbers: Imagined and ImaginaryRandomness, Arbitrariness, and Perfect NumbersDada PoetryDisorder and ArtArbitrariness10. The ArtworldNotesBibliographyIndex
£51.50
Johns Hopkins University Press An Equation for Every Occasion
Book SynopsisSmartly conceived and fast paced, his book offers something for anyone curious about math and its impacts.Trade ReviewThe wide ranging essays touch on history, art, architecture, biology, astrophysics, geology, economics, engineering, and many aspects of everyday life. They are supplemented with helpful graphics and written in a lively and clear style appropriate for non-specialist readers, including high school students. Mathematical Reviews An intriguing, thought provoking and humorous book... Highly entertaining treatises for nature lovers as well as science, mathematics and art enthusiasts. London Mathematical Society Newsletter Henshaw's stories about each formula are interesting, humorous, and oftentimes surprising. The range of formulas in [ An Equation for Every Occasion] is appealing, no matter where one's interests lie... This book is a must for teachers who teach formulas. This book provides both interesting stories and historial context to pass on to students Mathematical Association of America From the links between music and math and the importance of the concept of friction to either the success or failure of athletes to estimating the size of a crowd by understanding principles of density, these applications are not only lively discussions of daily living, but require no prior math knowledge from their readers, making An Equation for Every Occasion a recommended pick for lay audiences interested in math's intersections with real-world concerns. Donovan's Literary Services Recommended. All readers. ChoiceTable of ContentsPreface1. As the Earth Draws the Apple2. And All the Children Are Above Average3. The Lady with the Mystic Smile4. The Heart Has Its Reasons5. AC/DC6. The Doppler Effect7. Do I Look Fat in These Jeans?8. Zeros and Ones9. Tsunami10. When the Chips Are Down11. A Stretch of the Imagination12. Woodstock Nation13. What Is (Pi)?14. No Sweat15. Road Range16. The Bends17. It's Not the Heat, It's the Humidity18. The World's Most Beautiful Equation19. Breaking the Law20. The Mars Curse21. Eureka!22. A Penny Saved . . .23. If I Only Had a Brain24. Because It Was There25. Four Eyes26. Bee Sting27. Here Comes the Sun28. A Leg to Stand On29. Love Is a Roller Coaster30. Loss Factor31. A Slippery Slope32. Transformers33. A House of Cards34. Let There Be Light35. Smarty Pants36. As Old as the Hills37. Can You Hear Me Now?38. Decay Heat39. Zero, One, Infinity40. Terminal Velocity41. Water, Water, Everywhere42. Dog Days43. Body Heat44. Red Hot45. A Bolt from the Blue46. Like Oil and Water47. Fish Story48. Making Waves49. A Drop in the Bucket50. Fracking Unbelievable51. Take Two Aspirins and Call Me in the Morning52. The World's Most Famous EquationBibliographyIndex
£31.34
Johns Hopkins University Press Algebra in Context
Book SynopsisProvides a framework for understanding algebra and related fields. In this book, students will discover why mathematics is such a crucial part not only of civilization but also of everyday life.Trade ReviewThis book approaches the teaching of algebra to first year undergraduate students with a unique use of the art's history and development. Students that have already encountered many of these topics in a traditional format in high school or college may find this engaging framework a boon to understanding. Mathematical Association of America The book is well organized and thorough. The authors take a conglomeration of discoveries and inventions over three millennia and present them in an ordered, coherent manner. Mathematic TeacherTable of ContentsPrefaceIntroductionPart I1. Number Bases1.1. Base 61.2. Base 42. Babylonian Number System2.1. Cuneiform2.2. Mathematical Texts2.3. Number System3. Egyptian and Roman Number Systems3.1. Egyptian3.1.1. History3.1.2. Writing and Mathematics3.1.3. Number System3.2. Roman3.2.1. History3.2.2. Number System4. Chinese Number System4.1. History and Mathematics4.2. Rod Numerals5. Mayan Number System5.1. Calendar5.2. Codices5.3. Number System5.4. Native North Americans6. Indo-Arabic Number System6.1. India6.1.1. History6.1.2. Mathematics6.2. The Middle East6.2.1. History6.2.2. Mathematics6.3. Number System6.3.1. Whole Numbers6.3.2. Fractions7. ExercisesPart II8. Addition and Subtraction9. Multiplication9.1. Roman Abacus9.2. Grating or Lattice Method9.3. Ibn Labban and Chinese Counting Board9.4. Egyptian Doubling Method10. Division10.1. Egyptian10.2. Leonardo of Pisa10.3. Galley or Scratch Method11. Casting Out Nines12. Finding Square Roots12.1. Heron of Alexandria12.2. Theon of Alexandria12.3. Bakhshali Manuscript12.4. Nicolas Chuquet13. ExercisesPart III14. Sets14.1. Set Relations14.2. Finding 2n14.3. One-to-One Correspondence and Cardinality15. Rational, Irrational, and Real Numbers15.1. Commensurable and Incommensurable Magnitudes15.2. Rational Numbers15.3. Irrational Numbers15.4. I Is Uncountably Infinite15.5. card(Q), card(I), and card(R)15.6. Transfinite Numbers16. Logic17. The Higher Arithmetic17.1. Early Greek Elementary Number Theory17.1.1. Pythagoras17.1.2. Euclid17.1.3. Nicomachus and Diophantus17.2. Even and Odd Numbers17.3. Figurate Numbers17.3.1. Triangular Numbers17.3.2. Square Numbers17.3.3. Rectangular Numbers17.3.4. Other Figurate Numbers17.4. Pythagorean Triples17.5. Divisors, Common Factors, and Common Multiples17.5.1. Factors and Multiples17.5.2. Euclid's Algorithm17.5.3. Multiples17.6. Prime Numbers17.6.1. The Sieve of Eratosthenes17.6.2. The Fundamental Theorem of Arithmetic17.6.3. Perfect Numbers17.6.4. Friendly Numbers18. ExercisesPart IV19. Linear Problems19.1. Review of Linear Equations19.2. False Position19.3. Double False Position20. Quadratic Problems20.1. Solving Quadratic Equations by Completing the Square20.1.1. Babylonian201.2. Arabic201.3. Indian20.1.4. The Quadratic Formula20.2. Polynomial Equations in One Variable20.2.1. Powers20.2.2. nth Roots20.3. Continued Fractions20.3.1. Finite Simple Continued Fractions20.3.2. Infinite Simple Continued Fractions20.3.3. The Number21. Cubic Equations and Complex Numbers21.1. Complex Numbers21.2. Solving Cubic Equations and the Cubic Formula22. Polynomial EquationsRelation between Roots and CoefficientsViète and Harriot22.3. Zeros of a Polynomial22.3.1. Factoring22.3.2. Descartes's Rule of Signs22.4. The Fundamental Theorem of Algebra23. Rule of Three23.1. China23.2. India23.3. Medieval Europe23.4. The Rule of Three in False Position23.5. Direct Variation, Inverse Variation, and Modeling24. Logarithms24.1. Logarithms Today24.2. Properties of Logarithms24.3. Bases of a Logarithm24.3.1. Using a Calculator24.3.2. Comparing Logarithms24.4. Logarithm to the Base e and Applications24.4.1. Compound Interest24.4.2. Amortization24.4.3. Exponential Growth and Decay24.5. Logarithm to the Base 10 and Application to Earthquakes25. ExercisesBibliographyIndex
£84.00
Johns Hopkins University Press Calculus in Context
Book SynopsisCalculus in Context is a compelling exploration-for students and instructors alike-of a discipline that is both rich in conceptual beauty and broad in its applied relevance.Trade ReviewThe depth of detail in each application [offered by Calculus in Context] provides an excellent structure for guiding students through the “why should we care” moments that every calculus class experiences.—Mathematical Association of AmericaRecommended.—ChoiceHahn's book is the perfect choice for college and university teachers who want to teach calculus with reference to its origins and applications.—Zentralblatt MathVery well written in an engaging and enthusiastic style: it is very suitable for first year students, is perhaps not too demanding for students about to enter university, and it is particularly useful to those with more than a passing interest in astronomy. There is plenty to learn for the reader, and the massive text is also a good reference book on calculus. This labour of love from the author more than satisfies the high hopes for a good calculus book... and I highly recommend it.—Peter Shiu, Mathematical GazetteTable of ContentsPrefacePart I1. The Astronomy and Geometry of the Greeks1.1. The Greeks Explain the Universe1.2. Achieving the Impossible?1.3. Greek Geometry1.4. The Pythagorean Theorem1.5. The Radian Measure of an Angle1.6. Greek Trigonometry1.7. Aristarchus Sizes Up the Universe1.8. Problems and Projects2. The Genius of Archimedes2.1. The Conic Sections2.2. The Question of Area2.3. Playing with Squares2.4. The Area of a Parabolic Section2.5. The Method of Archimedes2.6. Problems and Projects3. A New Astronomy3.1. A Fixed Sun at the Center3.2. Copernicus's Model of Earth's Orbit3.3. About the Distances of the Planets from the Sun3.4. Tycho Brahe and Parallax3.5. Kepler's Elliptical Orbits3.6. The Studies of Galileo3.7. The Size of the Solar System3.8. Problems and Projects4. The Coordinate Geometry of Descartes4.1. The Real Numbers4.2. The Coordinate Plane4.3. About the Parabola4.4. About the Ellipse4.5. Quadratic Equations in x and y4.6. Circles and Trigonometry4.7. Problems and Projects5. The Calculus of Leibniz5.1. Straight Lines5.2. Tangent Lines to Curves5.3. The Function Concept5.4. The Derivative of a Function5.5. Fermat, Kepler, and Wine Barrels5.6. The Definite Integral5.7. Cavalieri's Principle5.8. Differentials and the Fundamental Theorem5.9. Volumes of Revolution5.10. Problems and Projects6. The Calculus of Newton6.1. Simple Functions and Areas6.2. The Derivative of a Simple Function6.3. From Simple Functions to Power Series6.4. The Mathematics of a Moving Point6.5. Galileo and Acceleration6.6. Dealing with Forces6.7. The Trajectory of a Projectile6.8. Newton Studies the Motion of the Planets6.9. Connecting Force and Geometry6.10. The Law of Universal Gravitation6.11. Problems and ProjectsPart II7. Differential Calculus7.1. Mathematical Functions7.2. A Study of Limits7.3. Continuous Functions7.4. Differentiable Functions7.5. Computing Derivatives7.6. Some Theoretical Concerns7.7. Derivatives of Trigonometric Functions7.8. Understanding Functions7.9. Graphing Functions7.10. Exponential Functions7.11. Logarithm Functions7.12. Hyperbolic Functions7.13. Final Comments about Graphs7.14. Problems and Projects8. Applications of Differential Calculus8.1. Derivatives as Rates of Change8.1.1. Growth of Organisms8.1.2. Radioactive Decay8.1.3. Cost of Production8.2. The Pulley Problem of L'Hospital8.2.1. The Solution Using Calculus8.2.2. The Solution by Balancing Forces8.3. The Suspension Bridge8.4. An Experiment of Galileo8.4.1. Sliding Ice Cubes and Spinning Wheels8.4.2. Torque and Rotational Inertia8.4.3. The Mathematics behind Galileo's Experiment8.5. From Fermat's Principle to the Reflecting Telescope8.5.1. Fermat's Principle and the Reflection of Light8.5.2. The Refraction of Light8.5.3. About Lenses8.5.4. Refracting and Reflecting Telescopes8.6. Problems and Projects9. The Basics of Integral Calculus9.1. The Definite Integral of a Function9.2. Volume and the Definite Integral9.3. Lengths of Curves and the Definite Integral9.4. Surface Area and the Definite Integral9.5. The Definite Integral and the Fundamental Theorem9.6. Area as Antiderivative9.7. Finding Antiderivatives9.7.1. Integration by Substitution9.7.2. Integration by Parts9.7.3. Some Algebraic Moves9.8. Inverse Functions9.9. Inverse Trigonometric and Hyperbolic Functions9.9.1. Trigonometric Inverses9.9.2. Hyperbolic Inverses9.10. Trigonometric and Hyperbolic Substitutions9.11. Some Integral Formulas9.12. The Trapezoidal and Simpson Rules9.13. One Loop of the Sine Curve9.14. Problems and Projects10. Applications of Integral Calculus10.1. Estimating the Weight of Domes10.1.1. The Hagia Sophia10.1.2. The Roman Pantheon10.2. The Cables of a Suspension Bridge10.3. From Pocket Watch to Pseudosphere10.3.1. Volume and Surface Area of Revolution of the Tractrix10.3.2. The Pseudosphere10.4. Calculating the Motion of a Planet10.4.1. Determining Position in Terms of Time10.4.2. Determining Speed and Direction10.4.3. Earth, Jupiter, and Halley10.5. Integral Calculus and the Action of Forces10.5.1. Work and Energy, Impulse and Momentum10.5.2. Analysis of Springs10.5.3. The Force in a Gun Barrel10.5.4. The Springfield Rifle10.6. Problems and Projects11. Basics of Differential Equations11.1. First-Order Separable Differential Equations11.2. The Method of Integrating Factors11.3. Direction Fields and Euler's Method11.4. The Polar Coordinate System11.5. The Complex Plane11.6. Second-Order Differential Equations11.7. The Basics of Power Series11.8. Taylor and Maclaurin Series11.9. Solving a Second-Order Differential Equation11.10. Free Fall with Air Resistance11.10.1. Going Up11.10.2. Coming Down11.10.3. Bullets and Ping-Pong Balls11.11. Systems with Springs and Damping Elements11.11.1. The Family Sedan and the Stock Car11.12. More about Hanging Cables11.13. Problems and Projects12. Polar Calculus and Newton's Planetary Orbits12.1. Graphing Polar Equations12.2. The Conic Sections in Polar Coordinates12.3. The Derivative of a Polar Function12.4. The Lengths of Polar Curves12.5. Areas in Polar Coordinates12.6. Equiangular Spirals12.7. Centripetal Force in Cartesian Coordinates12.8. Going Polar12.9. From Conic Section to Inverse Square Law and Back Again12.10. Gravity and Geometry12.11. Spiral Galaxies12.12. Problems and ProjectsReferencesImage Credits and NotesIndex
£80.50
