Knots and Primes - An Introduction to Arithmetic Topology (Paperback, 2012)

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. "

General

Imprint:	Springer London
Country of origin:	United Kingdom
Series:	Universitext
Release date:	November 2011
First published:	2012
Authors:	Masanori Morishita
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	191
Edition:	2012
ISBN-13:	978-1-4471-2157-2
Languages:	English
Subtitles:	Japanese
Categories:	Books > Science & Mathematics > Mathematics > Topology > Algebraic topology Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	1-4471-2157-0
Barcode:	9781447121572

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