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Author : Bruce Graydon Sloss
Publisher :
ISBN 13 : 9780864446619
Total Pages : 6 pages
Book Rating : 4.4/5 (466 download)
Download or read book A Note on a Diophantine Equation Considered by Powell written by Bruce Graydon Sloss and published by . This book was released on 1997 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817645497
Total Pages : 350 pages
Book Rating : 4.8/5 (176 download)
Download or read book An Introduction to Diophantine Equations written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.
Author :
Publisher :
ISBN 13 :
Total Pages : 1124 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. A. Nyblom
Publisher :
ISBN 13 : 9780864592019
Total Pages : 7 pages
Book Rating : 4.5/5 (92 download)
Download or read book A Note on the Solvability of a Diophantine Equation Involving Radicals written by M. A. Nyblom and published by . This book was released on 2002 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Umberto Zannier
Publisher : Springer
ISBN 13 : 8876425179
Total Pages : 248 pages
Book Rating : 4.8/5 (764 download)
Download or read book Lecture Notes on Diophantine Analysis written by Umberto Zannier and published by Springer. This book was released on 2015-05-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights.
Author : Ove Hemer
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (115 download)
Download or read book Notes on the Diophantine Equation Y2-k written by Ove Hemer and published by . This book was released on 1954 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jorn Steuding
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584884828
Total Pages : 280 pages
Book Rating : 4.8/5 (848 download)
Download or read book Diophantine Analysis written by Jorn Steuding and published by Chapman and Hall/CRC. This book was released on 2005-05-19 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures remain. Diophantine Analysis examines the theory of diophantine approximations and the theory of diophantine equations, with emphasis on interactions between these subjects. Beginning with the basic principles, the author develops his treatment around the theory of continued fractions and examines the classic theory, including some of its applications. He also explores modern topics rarely addressed in other texts, including the abc conjecture, the polynomial Pell equation, and the irrationality of the zeta function and touches on topics and applications related to discrete mathematics, such as factoring methods for large integers. Setting the stage for tackling the field's many open problems and conjectures, Diophantine Analysis is an ideal introduction to the fundamentals of this venerable but still dynamic field. A detailed appendix supplies the necessary background material, more than 200 exercises reinforce the concepts, and engaging historical notes bring the subject to life.
Author : Titu Andreescu
Publisher :
ISBN 13 : 9789739238885
Total Pages : 198 pages
Book Rating : 4.2/5 (388 download)
Download or read book An Introduction to Diophantine Equations written by Titu Andreescu and published by . This book was released on 2002 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 1468493426
Total Pages : 306 pages
Book Rating : 4.4/5 (684 download)
Download or read book 13 Lectures on Fermat's Last Theorem written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture I The Early History of Fermat's Last Theorem.- 1 The Problem.- 2 Early Attempts.- 3 Kummer's Monumental Theorem.- 4 Regular Primes.- 5 Kummer's Work on Irregular Prime Exponents.- 6 Other Relevant Results.- 7 The Golden Medal and the Wolfskehl Prize.- Lecture II Recent Results.- 1 Stating the Results.- 2 Explanations.- Lecture III B.K. = Before Kummer.- 1 The Pythagorean Equation.- 2 The Biquadratic Equation.- 3 The Cubic Equation.- 4 The Quintic Equation.- 5 Fermat's Equation of Degree Seven.- Lecture IV The Naïve Approach.- 1 The Relations of Barlow and Abel.- 2 Sophie Germain.- 3 Co.
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 0387218203
Total Pages : 370 pages
Book Rating : 4.3/5 (872 download)
Download or read book The Little Book of Bigger Primes written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2006-06-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: A deep understanding of prime numbers is one of the great challenges in mathematics. In this new edition, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queen's University in Canada, Fellow of the Royal Society of Canada, and recipient of the George Pólya Award of the Mathematical Association of America. He is the author of 13 books and more than 150 research articles. From the reviews of the First Edition: Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material. There is no question that this book will succeed in exciting many new people to the beauty and fascination of prime numbers, and will probably bring more young people to research in these areas. (Andrew Granville, Zentralblatt)
Author : Paul Pollack
Publisher : American Mathematical Soc.
ISBN 13 : 0821848801
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)
Download or read book Not Always Buried Deep written by Paul Pollack and published by American Mathematical Soc.. This book was released on 2009-10-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is one of the few areas of mathematics where problems of substantial interest can be fully described to someone with minimal mathematical background. Solving such problems sometimes requires difficult and deep methods. But this is not a universal phenomenon; many engaging problems can be successfully attacked with little more than one's mathematical bare hands. In this case one says that the problem can be solved in an elementary way. Such elementary methods and the problems to which they apply are the subject of this book. Not Always Buried Deep is designed to be read and enjoyed by those who wish to explore elementary methods in modern number theory. The heart of the book is a thorough introduction to elementary prime number theory, including Dirichlet's theorem on primes in arithmetic progressions, the Brun sieve, and the Erdos-Selberg proof of the prime number theorem. Rather than trying to present a comprehensive treatise, Pollack focuses on topics that are particularly attractive and accessible. Other topics covered include Gauss's theory of cyclotomy and its applications to rational reciprocity laws, Hilbert's solution to Waring's problem, and modern work on perfect numbers. The nature of the material means that little is required in terms of prerequisites: The reader is expected to have prior familiarity with number theory at the level of an undergraduate course and a first course in modern algebra (covering groups, rings, and fields). The exposition is complemented by over 200 exercises and 400 references.
Author : Ivan Niven
Publisher :
ISBN 13 : 9780852266304
Total Pages : 288 pages
Book Rating : 4.2/5 (663 download)
Download or read book An introduction to the theory of numbers written by Ivan Niven and published by . This book was released on 1993 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Graham Everest
Publisher : American Mathematical Soc.
ISBN 13 : 1470423154
Total Pages : 338 pages
Book Rating : 4.4/5 (74 download)
Download or read book Recurrence Sequences written by Graham Everest and published by American Mathematical Soc.. This book was released on 2015-09-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 0387227547
Total Pages : 384 pages
Book Rating : 4.3/5 (872 download)
Download or read book My Numbers, My Friends written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem.
Author : United States. National Bureau of Standards
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (31 download)
Download or read book Journal of Research of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1975 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 644 pages
Book Rating : 4.3/5 (91 download)
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1926 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes section "Recent publications."
Author :
Publisher :
ISBN 13 :
Total Pages : 748 pages
Book Rating : 4.:/5 (6 download)
Download or read book Mathematics of Computation written by and published by . This book was released on 1960* with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.
