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Sums of Squares of Integers
£63.99
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Located in: Didcot, United Kingdom, United Kingdom
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eBay item number:374487757112
Item specifics
- Condition
- 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
- 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
Format
Paperback
Dimensions
Item Height
234 mm
Item Weight
540 g
Item Width
156 mm
Additional Product Features
Country/Region of Manufacture
United Kingdom
Item description from the seller
Seller business information
VAT number: GB 365462636
CRN: 08860726
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