Shortcuts
Please wait while page loads.
SISSA Library . Default .
PageMenu- Main Menu-
Page content

Catalogue Display

An Introduction to Diophantine Equations: A Problem-Based Approach

An Introduction to Diophantine Equations: A Problem-Based Approach
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.   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:
Authors:
Corporate Authors:
Classification:
Catalogue Information 27728 Beginning of record . Catalogue Information 27728 Top of page .

Reviews


This item has not been rated.    Add a Review and/or Rating27728
Quick Search