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Morishita

Knots and Primes

An Introduction to Arithmetic Topology
2011. Buch. xi, 191 S.: 42 s/w-Abbildungen, Bibliographien. Softcover
Springer ISBN 978-1-4471-2157-2
Format (B x L): 15,5 x 23,5 cm
Gewicht: 316 g
In englischer Sprache
Das Werk ist Teil der Reihe:
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.

Audience

Graduate

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Webcode: beck-shop.de/ttdcf
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