An Invitation to Modern Number Theory

Name: An Invitation to Modern Number Theory
Brand: Princeton University Press
SKU: 9780691120607
Price: 10741.0 INR
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by Steven J. Miller , Ramin Takloo-Bighash

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ISBN13: 9780691120607
Binding: Hardcover
Subject: N/A
Publisher: Princeton University Press
Publisher Imprint: Princeton University Press
Publication Date: March 26, 2006
Pages: 528
Original Price: USD 115.0
Language: English
Edition: N/A
Item Weight: 853 grams
BISAC Subject(s): Number Theory

About The Book

In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research.

Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material (from probability to statistics to Fourier analysis) whenever necessary. They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for predicting answers in number theory.

Providing exercises, references to the background literature, and Web links to previous student research projects, An Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.

About The Author

Steven J. Miller is an Assistant Professor of Mathematics at Brown University. Ramin Takloo-Bighash is an Assistant Professor of Mathematics at Princeton University.

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