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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 : 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 : 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 : 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 : H. Davenport
Publisher : Cambridge University Press
ISBN 13 : 9781139441230
Total Pages : 164 pages
Book Rating : 4.4/5 (412 download)
Download or read book Analytic Methods for Diophantine Equations and Diophantine Inequalities written by H. Davenport and published by Cambridge University Press. This book was released on 2005-02-07 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring's problem and the representation of integers by diagonal forms, the solubility in integers of systems of forms in many variables, and the solubility in integers of diagonal inequalities. For the second edition of the book a comprehensive foreword has been added in which three prominent authorities describe the modern context and recent developments. A thorough bibliography has also been added.
Author :
Publisher :
ISBN 13 :
Total Pages : 836 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 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Academic Press
ISBN 13 : 0080873421
Total Pages : 327 pages
Book Rating : 4.0/5 (88 download)
Download or read book Diophantine Equations written by and published by Academic Press. This book was released on 1969 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diophantine Equations
Author : James Edgar Shockley
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (42 download)
Download or read book On the Best Bound for the Solvability of a Linear Diophantine Equation by Positive Integers written by James Edgar Shockley and published by . This book was released on 1962 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hideo Yokoi
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (165 download)
Download or read book Solvability of the diophantine equation x 2 - Dy 2 written by Hideo Yokoi and published by . This book was released on 1993 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Lars Arnér
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (186 download)
Download or read book On the Solvability of Diophantine Equations of the Second Degree written by Lars Arnér and published by . This book was released on 1973 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Zorn
Publisher : The Mathematical Association of America
ISBN 13 : 0883855887
Total Pages : 436 pages
Book Rating : 4.8/5 (838 download)
Download or read book A Century of Advancing Mathematics written by Paul Zorn and published by The Mathematical Association of America. This book was released on 2015-08-23 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MAA was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association-to advance mathematics, especially at the collegiate level-has, however, always been larger than merely publishing world-class mathematical exposition. MAA members have explored more than just mathematics; we have, as this volume tries to make evident, investigated mathematical connections to pedagogy, history, the arts, technology, literature, every field of intellectual endeavor. Essays, all commissioned for this volume, include exposition by Bob Devaney, Robin Wilson, and Frank Morgan; history from Karen Parshall, Della Dumbaugh, and Bill Dunham; pedagogical discussion from Paul Zorn, Joe Gallian, and Michael Starbird, and cultural commentary from Bonnie Gold, Jon Borwein, and Steve Abbott. This volume contains 35 essays by all-star writers and expositors writing to celebrate an extraordinary century for mathematics-more mathematics has been created and published since 1915 than in all of previous recorded history. We've solved age-old mysteries, created entire new fields of study, and changed our conception of what mathematics is. Many of those stories are told in this volume as the contributors paint a portrait of the broad cultural sweep of mathematics during the MAA's first century. Mathematics is the most thrilling, the most human, area of intellectual inquiry; you will find in this volume compelling proof of that claim.
Author : Henk J.M. Bos
Publisher : Springer Science & Business Media
ISBN 13 : 1461300878
Total Pages : 472 pages
Book Rating : 4.4/5 (613 download)
Download or read book Redefining Geometrical Exactness written by Henk J.M. Bos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.
Author : Eötvös Loránd Tudományegyetem
Publisher :
ISBN 13 :
Total Pages : 510 pages
Book Rating : 4.3/5 (91 download)
Download or read book Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae written by Eötvös Loránd Tudományegyetem and published by . This book was released on 1969 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.E/5 ( download)
Download or read book Historical Notes written by and published by . This book was released on 1992 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 598 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1987 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
