| 书目名称 | Knots and Primes | | 副标题 | An Introduction to A | | 编辑 | Masanori Morishita | | 视频video | http://file.papertrans.cn/544/543790/543790.mp4 | | 概述 | Starts at an elementary level and builds up to a more advanced theoretical discussion.Written by a world expert on arithmetic topology.A large number of illustrative examples are provided throughout?. | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated and proofs are largely self-contained. When necessary, background information is provided and theory is accompanied with a number of useful examples and illustrations, making this a useful text for both undergraduates and graduates in the field of knot theory, number theory and geometry. | | 出版日期 | Textbook 20121st edition | | 关键词 | 3-manifolds; arithmetic topology; homology groups; knots and primes; legendre symbols; number rings | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-2158-9 | | isbn_ebook | 978-1-4471-2158-9Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag London Limited 2012 |
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