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portada Diophantine Analysis
Type
Physical Book
Publisher
Author
Language
English
Pages
280
Format
Paperback
ISBN13
9780367392857
Edition No.
1

Diophantine Analysis

Jorn Steuding (Author) · Crc Pr Inc · Paperback

Diophantine Analysis - Jorn Steuding

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Synopsis "Diophantine Analysis "

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.

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The binding of this edition is Paperback.

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