Additive Combinatorics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Terence Tao 作者

Cambridge University Press

译者

2009-12-21 出版日期

532 页数

USD 60.00 价格

Paperback

Cambridge Studies in Advanced Mathematics 丛书系列

9780521136563 图书编码

Additive Combinatorics 在线电子书图书标签: 组合 Tao 计算机科学数理逻辑7 数学与我有关 CUP 2009

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Additive Combinatorics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemeredi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.

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