Knots and Primes: An Introduction to Arithmetic Topology

Masanori Morishita

ISBN 10: 1447121570 ISBN 13: 9781447121572

Editore: Springer-Verlag London Ltd, 2012

Lingua: Inglese

Condizione: Usato - Quasi ottimo Brossura

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In excellent condition. Binding is tight and inside is clean and unmarked. Seemingly unread.

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Dati bibliografici

Titolo

Knots and Primes: An Introduction to Arithmetic Topology

Editore

Springer-Verlag London Ltd

Data di pubblicazione

2012

Lingua

Inglese

ISBN 10

1447121570

ISBN 13

9781447121572

Rilegatura

Soft cover

Condizione

Near fine

Condizione della sovraccoperta

No jacket

Cataloghi dei venditori

Mathematics

Descrizione articolo

Riassunto

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. ?

Dalla quarta di copertina

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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Moe's Books has been selling new, used, and antiquarian books for over fifty years. Our store has four floors, a separate rare book room, and over 300,000 books. We are located in the heart of Berkeley, four blocks from the University of California campus on historic Telegraph Avenue. Please check out website for more information about the store and our event information. We have many of our readings available as free audio downloads. You can also contact us with want lists or questions about our inventory.

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