13 Lectures on Fermat's Last Theorem

13 Lectures on Fermat's Last Theorem
Author: Paulo Ribenboim
Publsiher: Springer Science & Business Media
Total Pages: 302
Release: 2012-12-06
ISBN 10: 1468493426
ISBN 13: 9781468493429
Language: EN, FR, DE, ES & NL


13 Lectures on Fermat's Last Theorem Book Review:

Fermat's problem, also ealled Fermat's last theorem, has attraeted the attention of mathematieians far more than three eenturies. Many clever methods have been devised to attaek the problem, and many beautiful theories have been ereated with the aim of proving the theorem. Yet, despite all the attempts, the question remains unanswered. The topie is presented in the form of leetures, where I survey the main lines of work on the problem. In the first two leetures, there is a very brief deseription of the early history, as well as a seleetion of a few of the more representative reeent results. In the leetures whieh follow, I examine in sue eession the main theories eonneeted with the problem. The last two lee tu res are about analogues to Fermat's theorem. Some of these leetures were aetually given, in a shorter version, at the Institut Henri Poineare, in Paris, as well as at Queen's University, in 1977. I endeavoured to produee a text, readable by mathematieians in general, and not only by speeialists in number theory. However, due to a limitation in size, I am aware that eertain points will appear sketehy. Another book on Fermat's theorem, now in preparation, will eontain a eonsiderable amount of the teehnieal developments omitted here. It will serve those who wish to learn these matters in depth and, I hope, it will clarify and eomplement the present volume.

Modular Forms and Fermat’s Last Theorem

Modular Forms and Fermat’s Last Theorem
Author: Gary Cornell,Joseph H. Silverman,Glenn Stevens
Publsiher: Springer Science & Business Media
Total Pages: 582
Release: 2013-12-01
ISBN 10: 1461219744
ISBN 13: 9781461219743
Language: EN, FR, DE, ES & NL


Modular Forms and Fermat’s Last Theorem Book Review:

This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.

Fermat’s Last Theorem for Amateurs

Fermat’s Last Theorem for Amateurs
Author: Paulo Ribenboim
Publsiher: Springer Science & Business Media
Total Pages: 408
Release: 2000-03-10
ISBN 10: 9780387985084
ISBN 13: 0387985085
Language: EN, FR, DE, ES & NL


Fermat’s Last Theorem for Amateurs Book Review:

In 1995, Andrew Wiles completed a proof of Fermat's Last Theorem. Although this was certainly a great mathematical feat, one shouldn't dismiss earlier attempts made by mathematicians and clever amateurs to solve the problem. In this book, aimed at amateurs curious about the history of the subject, the author restricts his attention exclusively to elementary methods that have produced rich results.

Fermat's Last Theorem

Fermat's Last Theorem
Author: Harold M. Edwards
Publsiher: Springer Science & Business Media
Total Pages: 407
Release: 2000-01-14
ISBN 10: 9780387950020
ISBN 13: 0387950028
Language: EN, FR, DE, ES & NL


Fermat's Last Theorem Book Review:

This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.

CRC Concise Encyclopedia of Mathematics

CRC Concise Encyclopedia of Mathematics
Author: Eric W. Weisstein
Publsiher: CRC Press
Total Pages: 3252
Release: 2002-12-12
ISBN 10: 1420035223
ISBN 13: 9781420035223
Language: EN, FR, DE, ES & NL


CRC Concise Encyclopedia of Mathematics Book Review:

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Elliptic Curves, Modular Forms & Fermat's Last Theorem

Elliptic Curves, Modular Forms & Fermat's Last Theorem
Author: John Coates,Shing-Tung Yau
Publsiher: International Pressof Boston Incorporated
Total Pages: 340
Release: 1997
ISBN 10:
ISBN 13: UOM:39015043823981
Language: EN, FR, DE, ES & NL


Elliptic Curves, Modular Forms & Fermat's Last Theorem Book Review:

These proceedings are based on a conference at the Chinese University of Hong Kong, held in response to Andrew Wile's conjecture that every elliptic curve over Q is modular. The survey article describing Wile's work is included as the first article in the present edition.

Algebraic Number Theory

Algebraic Number Theory
Author: N.A
Publsiher: CRC Press
Total Pages: 442
Release: 2011-01-05
ISBN 10: 1439845999
ISBN 13: 9781439845998
Language: EN, FR, DE, ES & NL


Algebraic Number Theory Book Review:

Bringing the material up to date to reflect modern applications, Algebraic Number Theory, Second Edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. This edition focuses on integral domains, ideals, and unique factorization in the first chapter; field extensions in the second chapter; and

The Princeton Companion to Mathematics

The Princeton Companion to Mathematics
Author: Timothy Gowers,June Barrow-Green,Imre Leader
Publsiher: Princeton University Press
Total Pages: 1056
Release: 2010-07-18
ISBN 10: 9781400830398
ISBN 13: 1400830397
Language: EN, FR, DE, ES & NL


The Princeton Companion to Mathematics Book Review:

This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more. Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics. Accessible in style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties. Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors Presents major ideas and branches of pure mathematics in a clear, accessible style Defines and explains important mathematical concepts, methods, theorems, and open problems Introduces the language of mathematics and the goals of mathematical research Covers number theory, algebra, analysis, geometry, logic, probability, and more Traces the history and development of modern mathematics Profiles more than ninety-five mathematicians who influenced those working today Explores the influence of mathematics on other disciplines Includes bibliographies, cross-references, and a comprehensive index Contributors incude: Graham Allan, Noga Alon, George Andrews, Tom Archibald, Sir Michael Atiyah, David Aubin, Joan Bagaria, Keith Ball, June Barrow-Green, Alan Beardon, David D. Ben-Zvi, Vitaly Bergelson, Nicholas Bingham, Béla Bollobás, Henk Bos, Bodil Branner, Martin R. Bridson, John P. Burgess, Kevin Buzzard, Peter J. Cameron, Jean-Luc Chabert, Eugenia Cheng, Clifford C. Cocks, Alain Connes, Leo Corry, Wolfgang Coy, Tony Crilly, Serafina Cuomo, Mihalis Dafermos, Partha Dasgupta, Ingrid Daubechies, Joseph W. Dauben, John W. Dawson Jr., Francois de Gandt, Persi Diaconis, Jordan S. Ellenberg, Lawrence C. Evans, Florence Fasanelli, Anita Burdman Feferman, Solomon Feferman, Charles Fefferman, Della Fenster, José Ferreirós, David Fisher, Terry Gannon, A. Gardiner, Charles C. Gillispie, Oded Goldreich, Catherine Goldstein, Fernando Q. Gouvêa, Timothy Gowers, Andrew Granville, Ivor Grattan-Guinness, Jeremy Gray, Ben Green, Ian Grojnowski, Niccolò Guicciardini, Michael Harris, Ulf Hashagen, Nigel Higson, Andrew Hodges, F. E. A. Johnson, Mark Joshi, Kiran S. Kedlaya, Frank Kelly, Sergiu Klainerman, Jon Kleinberg, Israel Kleiner, Jacek Klinowski, Eberhard Knobloch, János Kollár, T. W. Körner, Michael Krivelevich, Peter D. Lax, Imre Leader, Jean-François Le Gall, W. B. R. Lickorish, Martin W. Liebeck, Jesper Lützen, Des MacHale, Alan L. Mackay, Shahn Majid, Lech Maligranda, David Marker, Jean Mawhin, Barry Mazur, Dusa McDuff, Colin McLarty, Bojan Mohar, Peter M. Neumann, Catherine Nolan, James Norris, Brian Osserman, Richard S. Palais, Marco Panza, Karen Hunger Parshall, Gabriel P. Paternain, Jeanne Peiffer, Carl Pomerance, Helmut Pulte, Bruce Reed, Michael C. Reed, Adrian Rice, Eleanor Robson, Igor Rodnianski, John Roe, Mark Ronan, Edward Sandifer, Tilman Sauer, Norbert Schappacher, Andrzej Schinzel, Erhard Scholz, Reinhard Siegmund-Schultze, Gordon Slade, David J. Spiegelhalter, Jacqueline Stedall, Arild Stubhaug, Madhu Sudan, Terence Tao, Jamie Tappenden, C. H. Taubes, Rüdiger Thiele, Burt Totaro, Lloyd N. Trefethen, Dirk van Dalen, Richard Weber, Dominic Welsh, Avi Wigderson, Herbert Wilf, David Wilkins, B. Yandell, Eric Zaslow, Doron Zeilberger

Collected Papers of Paulo Ribenboim

Collected Papers of Paulo Ribenboim
Author: Paulo Ribenboim
Publsiher: Kingston, Ont. : Queen's University
Total Pages: 580
Release: 1997
ISBN 10:
ISBN 13: UCSD:31822023045248
Language: EN, FR, DE, ES & NL


Collected Papers of Paulo Ribenboim Book Review:

Current Developments in Mathematics

Current Developments in Mathematics
Author: N.A
Publsiher:
Total Pages: 329
Release: 1995
ISBN 10:
ISBN 13: UOM:39015027171340
Language: EN, FR, DE, ES & NL


Current Developments in Mathematics Book Review:

Fermat's Last Theorem

Fermat's Last Theorem
Author: Simon Singh
Publsiher:
Total Pages: 329
Release: 1998-05
ISBN 10: 9781857029222
ISBN 13: 1857029224
Language: EN, FR, DE, ES & NL


Fermat's Last Theorem Book Review:

In 1963 a schoolboy browsing in his local library stumbled across a great mathematical problem: Fermat's Last Theorem, a puzzle that every child can now understand, but which has baffled mathematicians for over 300 years. Aged just ten, Andrew Wiles dreamed he would crack it.

Glasnik Matematički

Glasnik Matematički
Author: N.A
Publsiher:
Total Pages: 329
Release: 1986
ISBN 10:
ISBN 13: UOM:39015046040773
Language: EN, FR, DE, ES & NL


Glasnik Matematički Book Review:

Reviews in Number Theory 1973-83

Reviews in Number Theory 1973-83
Author: Richard K. Guy
Publsiher:
Total Pages: 765
Release: 1984
ISBN 10: 9780821802182
ISBN 13: 0821802186
Language: EN, FR, DE, ES & NL


Reviews in Number Theory 1973-83 Book Review:

Reading, Writing, and Proving

Reading, Writing, and Proving
Author: Ulrich Daepp,Pamela Gorkin
Publsiher: Springer Science & Business Media
Total Pages: 378
Release: 2011-06-23
ISBN 10: 1441994793
ISBN 13: 9781441994790
Language: EN, FR, DE, ES & NL


Reading, Writing, and Proving Book Review:

This book, which is based on Pólya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends with suggested projects for independent study. Students will follow Pólya's four step approach: analyzing the problem, devising a plan to solve the problem, carrying out that plan, and then determining the implication of the result. In addition to the Pólya approach to proofs, this book places special emphasis on reading proofs carefully and writing them well. The authors have included a wide variety of problems, examples, illustrations and exercises, some with hints and solutions, designed specifically to improve the student's ability to read and write proofs. Historical connections are made throughout the text, and students are encouraged to use the rather extensive bibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between the standard course in calculus and one in analysis.

The Last Theorem

The Last Theorem
Author: Arthur C. Clarke,Frederik Pohl
Publsiher: Del Rey
Total Pages: 320
Release: 2008-08-05
ISBN 10: 0345509684
ISBN 13: 9780345509680
Language: EN, FR, DE, ES & NL


The Last Theorem Book Review:

Two of science fiction’s most renowned writers join forces for a storytelling sensation. The historic collaboration between Frederik Pohl and his fellow founding father of the genre, Arthur C. Clarke, is both a momentous literary event and a fittingly grand farewell from the late, great visionary author of 2001: A Space Odyssey. The Last Theorem is a story of one man’s mathematical obsession, and a celebration of the human spirit and the scientific method. It is also a gripping intellectual thriller in which humanity, facing extermination from all-but-omnipotent aliens, the Grand Galactics, must overcome differences of politics and religion and come together . . . or perish. In 1637, the French mathematician Pierre de Fermat scrawled a note in the margin of a book about an enigmatic theorem: “I have discovered a truly marvelous proof of this proposition which this margin is too narrow to contain.” He also neglected to record his proof elsewhere. Thus began a search for the Holy Grail of mathematics–a search that didn’t end until 1994, when Andrew Wiles published a 150-page proof. But the proof was burdensome, overlong, and utilized mathematical techniques undreamed of in Fermat’s time, and so it left many critics unsatisfied–including young Ranjit Subramanian, a Sri Lankan with a special gift for mathematics and a passion for the famous “Last Theorem.” When Ranjit writes a three-page proof of the theorem that relies exclusively on knowledge available to Fermat, his achievement is hailed as a work of genius, bringing him fame and fortune. But it also brings him to the attention of the National Security Agency and a shadowy United Nations outfit called Pax per Fidem, or Peace Through Transparency, whose secretive workings belie its name. Suddenly Ranjit–together with his wife, Myra de Soyza, an expert in artificial intelligence, and their burgeoning family–finds himself swept up in world-shaking events, his genius for abstract mathematical thought put to uses that are both concrete and potentially deadly. Meanwhile, unbeknownst to anyone on Earth, an alien fleet is approaching the planet at a significant percentage of the speed of light. Their mission: to exterminate the dangerous species of primates known as homo sapiens.

The Penguin Dictionary of Mathematics

The Penguin Dictionary of Mathematics
Author: David Nelson
Publsiher: Penguin UK
Total Pages: 496
Release: 2008-10-02
ISBN 10: 0141920874
ISBN 13: 9780141920870
Language: EN, FR, DE, ES & NL


The Penguin Dictionary of Mathematics Book Review:

The Penguin Dictionary of Mathematics takes in all branches of pure and applied mathematics, from algebra to mechanics and from number theory to statistics. Invaluable for students at all levels, it is also a useful and versatile source book for economists, business people, engineers, technicians and scientists of all kinds who use mathematics in the course of their work.

Reviews in Number Theory, as Printed in Mathematical Reviews, 1940 Through 1972, Volumes 1-44 Inclusive

Reviews in Number Theory, as Printed in Mathematical Reviews, 1940 Through 1972, Volumes 1-44 Inclusive
Author: William Judson LeVeque
Publsiher:
Total Pages: 672
Release: 1974
ISBN 10:
ISBN 13: UOM:39015057362652
Language: EN, FR, DE, ES & NL


Reviews in Number Theory, as Printed in Mathematical Reviews, 1940 Through 1972, Volumes 1-44 Inclusive Book Review:

Nonlinear Analysis

Nonlinear Analysis
Author: Panos M. Pardalos,Pando G. Georgiev,Hari M. Srivastava
Publsiher: Springer Science & Business Media
Total Pages: 893
Release: 2012-06-02
ISBN 10: 146143498X
ISBN 13: 9781461434986
Language: EN, FR, DE, ES & NL


Nonlinear Analysis Book Review:

The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.

Proceedings of the Japan Academy

Proceedings of the Japan Academy
Author: Nihon Gakushiin
Publsiher:
Total Pages: 329
Release: 1970
ISBN 10:
ISBN 13: STANFORD:36105008399870
Language: EN, FR, DE, ES & NL


Proceedings of the Japan Academy Book Review:

Introduction to Cryptography

Introduction to Cryptography
Author: Hans Delfs,Helmut Knebl
Publsiher: Springer Science & Business Media
Total Pages: 367
Release: 2007-03-05
ISBN 10: 3540492437
ISBN 13: 9783540492436
Language: EN, FR, DE, ES & NL


Introduction to Cryptography Book Review:

The opening section of this book covers key concepts of cryptography, from encryption and digital signatures to cryptographic protocols. Essential techniques are demonstrated in protocols for key exchange, user identification, electronic elections and digital cash. The second part addresses advanced topics, such as the bit security of one-way functions and computationally perfect pseudorandom bit generators. Examples of provably secure encryption and signature schemes and their security proofs are given. Though particular attention is given to the mathematical foundations, no special background in mathematics is presumed. The necessary algebra, number theory and probability theory are included in the appendix. Each chapter closes with a collection of exercises. The second edition presents new material, including a complete description of the AES, an extended section on cryptographic hash functions, a new section on random oracle proofs, and a new section on public-key encryption schemes that are provably secure against adaptively-chosen-ciphertext attacks.