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An Introduction to Diophantine Equations: A Problem-Based Approach
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Catalogue Information
Field name
Details
Dewey Class
512.7
Title
An Introduction to Diophantine Equations ([Ebook]) : A Problem-Based Approach / by Titu Andreescu, Dorin Andrica, Ion Cucurezeanu.
Author
Andreescu, Titu , 1956-
Added Personal Name
Andrica, Dorin
Cucurezeanu, Ion
Other name(s)
SpringerLink (Online service)
Publication
Boston : Birkhäuser , 2010
Physical Details
XI, 345 pages : online resource.
ISBN
9780817645496
Summary Note
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 material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I. 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. Â An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants â including Olympiad and Putnam competitors â as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.:
Contents note
Preface -- Part 1: Diophantine Equations -- Elementary Methods for Solving Diophantine Equations -- Some Classical Diophantine Equation -- Pellâs-Type Equations -- Part 2: Solutions to Exercises and Problems -- Elementary Methods for Solving Diophantine Equations -- Some Classical Diophantine Equation -- Pellâs-Type Equations -- References -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-0-8176-4549-6
Links to Related Works
Subject References:
Algebra
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Mathematics
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Number Theory
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Authors:
Andreescu, Titu 1956-
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Andrica, Dorin
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author
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Cucurezeanu, Ion
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Corporate Authors:
SpringerLink (Online service)
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Classification:
512.7
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512.7 (DDC 22)
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