Sums of Squares of Integers (Discrete Mathematics & Its Application) - Image 1

Price loading...

CRC Press Sums of Squares of Integers (Discrete Mathematics & Its Application)

Name: Sums of Squares of Integers (Discrete Mathematics & Its Application)
Brand: CRC Press

Computer Science

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums of a certain number of squares. The book introduces a stimulating area of number theory where research continues to proliferate. It is a book of "firsts" - namely it is the first book to combine Liouville's elementary methods with the analytic methods of modular functions to study the representation of integers as sums of squares. It is the first book to tell how to compute the number of representations of an integer n as the sum of s squares of integers for any s and n. It is also the first book to give a proof of Szemeredi's theorem, and is the first number theory book to discuss how the modern theory of modular forms complements and clarifies the classical fundamental results about sums of squares. The book presents several existing, yet still interesting and instructive, examples of modular forms. Two chapters develop useful properties of the Bernoulli numbers and illustrate arithmetic progressions, proving the theorems of van der Waerden, Roth, and Szemeredi. The book also explains applications of the theory to three problems that lie outside of number theory in the areas of cryptanalysis, microwave radiation, and diamond cutting. The text is complemented by the inclusion of over one hundred exercises to test the reader's understanding.

Product Specifications

Brand: CRC Press
Format: hardcover
ASIN: 1584884568
Category: Books > Subjects > Computing & Internet > Computer Science
Domain: Amazon UK
Release Date: 09 December 2005
Listed Since: 05 February 2007

Barcode

No barcode data available

CRC Press Sums of Squares of Integers (Discrete Mathematics & Its Application)

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Representations of Integers as Sums of Squares

From Polynomials to Sums of Squares

Advanced Number Theory with Applications (Discrete Mathematics and Its Applications)

Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics)

Methods for the Summation of Series (Discrete Mathematics and Its Applications)

Bernoulli Numbers and Zeta Functions (Springer Monographs in Mathematics)

Additive Combinatorics (CRM Proceedings & Lecture Notes)

Quadratic Irrationals: An Introduction to Classical Number Theory: 306 (Chapman & Hall/CRC Pure and Applied Mathematics)

A Course in Analytic Number Theory (Graduate Studies in Mathematics)

Fundamentals of Ramsey Theory (Discrete Mathematics and Its Applications)

Diophantine Analysis (Discrete Mathematics & Its Application)

The Fibonacci Numbers and Integer Structure: Foundations for a Modern Quadrivium

Bernoulli Numbers and Zeta Functions (Springer Monographs in Mathematics)

Pearls of Discrete Mathematics (Discrete Mathematics and Its Applications)

Additive Number Theory The Classical Bases: 164 (Graduate Texts in Mathematics, 164)

Additive Number Theory The Classical Bases: 164 (Graduate Texts in Mathematics, 164)

Pearls of Discrete Mathematics (Discrete Mathematics and Its Applications)

Quadratics: 2 (Discrete Mathematics and Its Applications)

Introduction to Number Theory (Textbooks in Mathematics)

Additive Combinatorics: A Menu of Research Problems (Discrete Mathematics and Its Applications)

Integral Representation and the Computation of Combinatorial Sums (Translations of Mathematical Monographs)

Diophantine Analysis

Arithmetic of Quadratic Forms (Springer Monographs in Mathematics)

Theta Constants, Riemann Surfaces and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities and ... ... Theory (Graduate Studies in Mathematics)