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Sprache:
Englisch
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Beschreibung
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.
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.
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.
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.
Über den Autor
John Stillwell is a professor of mathematics at the University of San Francisco. He is also an accomplished author, having published several books with Springer, including The Four Pillars of Geometry; Elements of Algebra; Numbers and Geometry; and many more.
Zusammenfassung
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.
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.
Inhaltsverzeichnis
* Preface * Natural numbers and integers * The Euclidean algorithm * Congruence arithmetic * The RSA cryptosystem * The Pell equation * The Gaussian Integers * Quadratic integers * The four square theorem * Quadratic reciprocity * Rings * Ideals * Prime ideals * Bibliography * Index
Details
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xii
256 S. 2 s/w Illustr. |
| ISBN-13: | 9781441930668 |
| ISBN-10: | 1441930663 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Stillwell, John |
| Hersteller: |
Springer
Copernicus Springer US, New York, N.Y. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 15 mm |
| Von/Mit: | John Stillwell |
| Erscheinungsdatum: | 03.12.2010 |
| Gewicht: | 0,411 kg |