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Author : J. van de Lune
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (255 download)
Download or read book A Note on the Solvability of the Diophantine Equation 1n + 2n + ... + Mn written by J. van de Lune and published by . This book was released on 1975 with total page 16 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 : 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 : Richard Guy
Publisher : Springer Science & Business Media
ISBN 13 : 0387266771
Total Pages : 455 pages
Book Rating : 4.3/5 (872 download)
Download or read book Unsolved Problems in Number Theory written by Richard Guy and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane’s Online Encyclopedia of Integer Sequences, at the end of several of the sections.
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 : Jorn Steuding
Publisher : CRC Press
ISBN 13 : 1584884827
Total Pages : 275 pages
Book Rating : 4.5/5 (848 download)
Download or read book Diophantine Analysis written by Jorn Steuding and published by CRC Press. This book was released on 2005-05-19 with total page 275 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 : Kálmán Györy
Publisher : Walter de Gruyter
ISBN 13 : 3110285584
Total Pages : 1212 pages
Book Rating : 4.1/5 (12 download)
Download or read book Number Theory in Progress written by Kálmán Györy and published by Walter de Gruyter. This book was released on 2012-02-13 with total page 1212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997.
Author : Satyabrota Kundu
Publisher : CRC Press
ISBN 13 : 1000562581
Total Pages : 275 pages
Book Rating : 4.0/5 (5 download)
Download or read book Number Theory and its Applications written by Satyabrota Kundu and published by CRC Press. This book was released on 2022-02-03 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number Theory and its Applications is a textbook for students pursuing mathematics as major in undergraduate and postgraduate courses. Please note: Taylor & Francis does not sell or distribute the print book in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
Author : Robert F. Tichy
Publisher : Springer Science & Business Media
ISBN 13 : 3211742808
Total Pages : 416 pages
Book Rating : 4.2/5 (117 download)
Download or read book Diophantine Approximation written by Robert F. Tichy and published by Springer Science & Business Media. This book was released on 2008-07-10 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schrödinger-Institute (Vienna, 2003). The articles are either in the spirit of more classical diophantine analysis or of a geometric or combinatorial flavor. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials.
Author : Titu Andreescu
Publisher : Springer
ISBN 13 : 0387541098
Total Pages : 224 pages
Book Rating : 4.3/5 (875 download)
Download or read book Quadratic Diophantine Equations written by Titu Andreescu and published by Springer. This book was released on 2015-06-29 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text treats the classical theory of quadratic diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. The presentation features two basic methods to investigate and motivate the study of quadratic diophantine equations: the theories of continued fractions and quadratic fields. It also discusses Pell’s equation and its generalizations, and presents some important quadratic diophantine equations and applications. The inclusion of examples makes this book useful for both research and classroom settings.
Author : Wenpeng Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 0387308296
Total Pages : 247 pages
Book Rating : 4.3/5 (873 download)
Download or read book Number Theory written by Wenpeng Zhang and published by Springer Science & Business Media. This book was released on 2006-06-05 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects survey and research papers on various topics in number theory. Although the topics and descriptive details appear varied, they are unified by two underlying principles: first, readability, and second, a smooth transition from traditional approaches to modern ones. Thus, on one hand, the traditional approach is presented in great detail, and on the other, the modernization of the methods in number theory is elaborated.
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 : Alexandra Shlapentokh
Publisher : Cambridge University Press
ISBN 13 : 9780521833608
Total Pages : 342 pages
Book Rating : 4.8/5 (336 download)
Download or read book Hilbert's Tenth Problem written by Alexandra Shlapentokh and published by Cambridge University Press. This book was released on 2007 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Author : Alexander Schrijver
Publisher : John Wiley & Sons
ISBN 13 : 9780471982326
Total Pages : 488 pages
Book Rating : 4.9/5 (823 download)
Download or read book Theory of Linear and Integer Programming written by Alexander Schrijver and published by John Wiley & Sons. This book was released on 1998-06-11 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen.
Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Author : Ivan Matveevich Vinogradov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821830963
Total Pages : 284 pages
Book Rating : 4.8/5 (39 download)
Download or read book Algebra, Mathematical Logic, Number Theory, Topology written by Ivan Matveevich Vinogradov and published by American Mathematical Soc.. This book was released on 1986 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of papers on the current research in algebra, mathematical logic, number theory and topology.
Author :
Publisher :
ISBN 13 :
Total Pages : 892 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:
