Provides a study of seventeenth-century French scholar Pierre de Fermat, the centuries-long effort to prove his theorem, and the work of Andrew Wiles, a Princeton researcher who ultimately came up with the solution

Author: Amir D. Aczel

Publisher: Delta

ISBN: 0385319460

Category: Mathematics

Page: 147

View: 184

Provides a study of seventeenth-century French scholar Pierre de Fermat, the centuries-long effort to prove his theorem, and the work of Andrew Wiles, a Princeton researcher who ultimately came up with the solution

A. D. Aczel, Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem, Four Walls Eight Windows, 1996. W. W. Adams and L. J. Goldstein, Introduction to Number Theory, Prentice-Hall, 1976. K. Barner, Paul Wolfskehl ...

Author: Israel Kleiner

Publisher: Springer Science & Business Media

ISBN: 9780817682682

Category: Mathematics

Page: 347

View: 600

This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses.

See especially " Early Identification of Mathematics Talent Has Long - Term Positive Consequences for Career ... describing the path to Wiles's solution is Fermat's Last Theorem : Unlocking the Secret of an Ancient Mathematical Problem ...

Author: Steve Olson

Publisher: Houghton Mifflin Harcourt

ISBN: 0618562125

Category: Education

Page: 244

View: 363

Follows six American high school students on the quest for glory in the Olympics of math competitions--The International Mathematical Olympiad.

Since then, much modern algebra has been developed in attempting to prove Fermat's last theorem and many mathematicians ... last theorem, unlocking the secret of an ancient mathematical problem, Viking, 1997, and S. Singh, Fermat's last ...

Author: Peter J. Eccles

Publisher: Cambridge University Press

ISBN: 9781139632560

Category: Mathematics

Page: 364

View: 635

This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

Further Reading Aczel, Amir D., Fermats Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem (1997); Ribenboim, Paulo, 13 Lectures on Fermats Last Theorem (1979); Ribenboim, Paulo, Fermat's Last Theorem for Amateurs ...

Author: James Trefil

Publisher: Routledge

ISBN: 9781136753633

Category: History

Page: 554

View: 553

Edited by acclaimed science writer and physicist James Trefil, the Encyclopedia's 1000 entries combine in-depth coverage with a vivid graphic format to bring every facet of science, technology, and medicine into stunning focus. From absolute zero to the Mesozoic era to semiconductors to the twin paradox, Trefil and his co-authors have an uncanny ability to convey how the universe works and to show readers how to apply that knowledge to everyday problems.

Elementary Number Theory by G. and J. Jones (Springer-Verlag, 1998) gives a gentle but rigorous introduction and ... to Fermat's Last Theorem, those being Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem by ...

Author: Peter M. Higgins

Publisher: OUP Oxford

ISBN: 9780191614965

Category: Mathematics

Page: 152

View: 192

Numbers are integral to our everyday lives and feature in everything we do. In this Very Short Introduction Peter M. Higgins, the renowned mathematics writer, unravels the world of numbers; demonstrating its richness, and providing a comprehensive view of the idea of the number. Higgins paints a picture of the number world, considering how the modern number system matured over centuries. Explaining the various number types and showing how they behave, he introduces key concepts such as integers, fractions, real numbers, and imaginary numbers. By approaching the topic in a non-technical way and emphasising the basic principles and interactions of numbers with mathematics and science, Higgins also demonstrates the practical interactions and modern applications, such as encryption of confidential data on the internet. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

After all, complicated proofs such as Gödel's theorem or Fermat's last theorem (conjecture)6 cannot easily be checked even ... subject: Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem (1996) by Amir Aczel, ...

Author: Kamran Dadkhah

Publisher: Springer Science & Business Media

ISBN: 9783642137488

Category: Business & Economics

Page: 542

View: 523

This is a book on the basics of mathematics and computation and their uses in economics for modern day students and practitioners. The reader is introduced to the basics of numerical analysis as well as the use of computer programs such as Matlab and Excel in carrying out involved computations. Sections are devoted to the use of Maple in mathematical analysis. Examples drawn from recent contributions to economic theory and econometrics as well as a variety of end of chapter exercises help to illustrate and apply the presented concepts.

Author: Peter Michael HigginsPublish On: 2008-01-01

For instance Andre Weil's classic text Basic Number Theory begins with the claim that 'no knowldege of number ... to Fermat's last Theorem, those being Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem by ...

Author: Peter Michael Higgins

Publisher: Springer Science & Business Media

ISBN: 9781848000018

Category: Science

Page: 323

View: 575

Peter Higgins distills centuries of work into one delightful narrative that celebrates the mystery of numbers and explains how different kinds of numbers arose and why they are useful. Full of historical snippets and interesting examples, the book ranges from simple number puzzles and magic tricks, to showing how ideas about numbers relate to real-world problems. This fascinating book will inspire and entertain readers across a range of abilities. Easy material is blended with more challenging ideas. As our understanding of numbers continues to evolve, this book invites us to rediscover the mystery and beauty of numbers.

Author: David Foster WallacePublish On: 2012-11-06

MATH'S CULTURAL STOCK HAS risen hard in recent years, no doubt driven by the same booming and metastatic Knowledge ... new cachet here is Amir D. Aczel's Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem, ...

Author: David Foster Wallace

Publisher: Hachette UK

ISBN: 9780316214698

Category: Literary Collections

Page: 336

View: 393

Brilliant, dazzling, never-before-collected nonfiction writings by "one of America's most daring and talented writers" (Los Angeles Times Book Review): Both Flesh and Not gathers fifteen of Wallace's seminal essays, all published in book form for the first time. Never has Wallace's seemingly endless curiosity been more evident than in this compilation of work spanning nearly 20 years of writing. Here, Wallace turns his critical eye with equal enthusiasm toward Roger Federer and Jorge Luis Borges; Terminator 2 and The Best of the Prose Poem; the nature of being a fiction writer and the quandary of defining the essay; the best underappreciated novels and the English language's most irksome misused words; and much more. Both Flesh and Not restores Wallace's essays as originally written, and it includes a selection from his personal vocabulary list, an assembly of unusual words and definitions.

Bibliography A. D. Aczel, Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem, Four Walls Eight Windows, New York, 1996. T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, New York, 1976.

Author: Gareth A. Jones

Publisher: Springer Science & Business Media

ISBN: 9781447106135

Category: Mathematics

Page: 302

View: 341

An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.