Elements of Number Theory - Brossura

Stillwell, John

 
9781441930668: Elements of Number Theory
Brossura
ISBN 10: 1441930663 ISBN 13: 9781441930668
Casa editrice: Springer, 2010

Sinossi

This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers. This is the only elementary number theory book that includes significant applications of ideal theory. It is clearly written, well illustrated, and supplied with carefully designed exercises, making it a pleasure to use as an undergraduate textbook or for independent study.

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Dalla quarta di copertina

 This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers. Finding integer solutions led to two fundamental ideas of number theory in ancient times - the Euclidean algorithm and unique prime factorization - and in modern times to two fundamental ideas of algebra - rings and ideals.

The development of these ideas, and the transition from ancient to modern, is the main theme of the book. The historical development has been followed where it helps to motivate the introduction of new concepts, but modern proofs have been used where they are simpler, more natural, or more interesting. These include some that have not yet appeared in textbooks, such as a treatment of the Pell equation using Conway's theory of quadratic forms. Also, this is the only elementary number theory book that includes significant applications of ideal theory. It is clearly written, well illustrated, and supplied with carefully designed exercises, making it a pleasure to use as an undergraduate textbook or for independent study.

John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer-Verlag, including Mathematics and Its History (Second Edition 2001), Numbers and Geometry (1997) and Elements of Algebra (1994).

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Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
1441930663
ISBN 13 
9781441930668
Rilegatura
Copertina flessibile
Numero di pagine
268
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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Hamburg
Germania

Altre edizioni note dello stesso titolo

9780387955872: Elements of Number Theory

Edizione in evidenza

ISBN 10:  0387955879 ISBN 13:  9780387955872
Casa editrice: Springer-Verlag GmbH, 2002
Rilegato