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Sums of Squares of Integers

£63.99
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Last updated on 22 May, 2025 17:30:24 BSTView all revisionsView all revisions

Item specifics

Condition
New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Brand
CRC Press
ISBN
9780367391614
Publication Year
2019
Type
Textbook
Format
Paperback
Language
English
Publication Name
Sums of Squares of Integers
Item Height
234 mm
Author
Jr. Wagstaff, Carlos J. Moreno
Publisher
Taylor & Francis LTD
Subject
Mathematics
Item Weight
540 g
Item Width
156 mm
Number of Pages
368 Pages

About this product

Product Information

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 Identifiers

Publisher
Taylor & Francis LTD
ISBN-13
9780367391614
eBay Product ID (ePID)
3046574395

Product Key Features

Number of Pages
368 Pages
Publication Name
Sums of Squares of Integers
Language
English
Subject
Mathematics
Publication Year
2019
Type
Textbook
Author
Jr. Wagstaff, Carlos J. Moreno
Format
Paperback

Dimensions

Item Height
234 mm
Item Weight
540 g
Item Width
156 mm

Additional Product Features

Country/Region of Manufacture
United Kingdom
Title_Author
Carlos J. Moreno, Jr. Wagstaff

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