Knots and Primes : An Introduction to Arithmetic Topology

Knots and Primes : An Introduction to Arithmetic Topology - Universitext


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Publisher's Synopsis

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. ​

Book information

ISBN: 9781447121572
Publisher: Springer London
Imprint: Springer
Pub date:
Edition: 2012
DEWEY: 514.224
DEWEY edition: 23
Language: English
Number of pages: 191
Weight: 312g
Height: 236mm
Width: 161mm
Spine width: 12mm