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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Knots and Primes: An Introduction to Arithmetic Topology

Knots and Primes: An Introduction to Arithmetic Topology

Morishita, Masanori

Paperback

Series: Universitext

General Mathematics

Currently unavailable to order

ISBN10: 1447121570
ISBN13: 9781447121572
Publisher: Springer Nature
Published: Nov 29 2011
Pages: 191
Weight: 0.65
Height: 0.60 Width: 6.00 Depth: 9.00
Language: English
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. ​

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