(DOWNLOAD) "Knots and Primes" by Masanori Morishita " Book PDF Kindle ePub Free

eBook details

Title: Knots and Primes
Author : Masanori Morishita
Release Date : January 27, 2011
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 4615 KB

Description

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.