Titu Andreescu

(Author)

An Introduction to Diophantine Equations: A Problem-Based Approach (2010)Hardcover - 2010, 13 September 2010

An Introduction to Diophantine Equations: A Problem-Based Approach (2010)
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Print Length
345 pages
Language
English
Publisher
Birkhauser
Date Published
13 Sep 2010
ISBN-10
0817645489
ISBN-13
9780817645489

Description

Preface.-Part 1: Diophantine Equations.-Elementary Methods for Solving Diophantine Equations.-The Decomposition Method.-Solving Diophantine Equations Using Inequalities.-The Parametric Method.-The Modular Arithmetic Method.-The Method of Mathematical Induction.-Fermat's Method of Infinite Descent (FMID).-Miscellaneous Diophantine Equations.-Some Classical Diophantine Equation.-Linear Diophantine Equation.-Pythagorean Triples and Related Problems.-Other Remarkable Equations.-Pell's-Type Equations.-Pell's Equation: History and Motivation.-Solving Pell's Equation by Elementary Methods.-The Equation ax^2-by^2=1.-The Negative Pell's Equation.-Part 2: Solutions to Exercises and Problems.-Elementary Methods for Solving Diophantine Equations.-The Decomposition Method.-Solving Diophantine Equations Using Inequalities.-The Parametric Method.-The Modular Arithmetic Method.-The Method of Mathematical Induction.-Fermat's Method of Infinite Descent (FMID).-Miscellaneous Diophantine Equations.-Some Classical Diophantine Equation.-Linear Diophantine Equation.-Pythagorean Triples and Related Problems.-Other Remarkable Equations.-Pell's-Type Equations.-Solving Pell's Equation by Elementary Methods.-The Equation ax^2-by^2=1.-The Negative Pell's Equation.-References.-Index.

Product Details

Authors:
Titu AndreescuDorin AndricaIon Cucurezeanu
Book Edition:
2010
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
13 September 2010
Dimensions:
23.88 x 16.26 x 2.54 cm
ISBN-10:
0817645489
ISBN-13:
9780817645489
Language:
English
Location:
Boston, MA
Pages:
345
Publisher:
Weight:
680.39 gm

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