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An Introduction to Diophantine Equations

By Titu Andreescu

An Introduction to Diophantine Equations Mathematics

An Introduction to Diophantine Equations

0 - Default Title
Description
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 - 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.
Product details
Edition:
1
Number of Pages:
360
Release Date:
2010-09-13
Publication Date:
2010-09-13
Publisher:
Springer Nature B.V.
Languages:
Original: English
ISBN10:
0817645489
ISBN13:
9780817645489
GPSR Manufacturer Reference:
[email protected]
Weight:
688 g
Height:
164 cm
Width:
245 cm
Thickness:
30 cm
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