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Structural Additive Theory

Structural Additive Theory

Paperback

Series: Developments in Mathematics, Book 30

AlgebraGeneral Mathematics

ISBN10: 3319375180
ISBN13: 9783319375182
Publisher: Springer Nature
Published: Aug 23 2016
Pages: 426
Weight: 1.67
Height: 0.89 Width: 7.00 Depth: 10.00
Language: English

​Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main objects of study are not abelian groups themselves, but rather the additive structure of subsets and subsequences of an abelian group, i.e., sumsets and subsequence sums. This text is a hybrid of a research monograph and an introductory graduate textbook. With few exceptions, all results presented are self-contained, written in great detail, and only reliant upon material covered in an advanced undergraduate curriculum supplemented with some additional Algebra, rendering this book usable as an entry-level text. However, it will perhaps be of even more interest to researchers already in the field.

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Algebra