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Arithmetic of Quadratic Forms
This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2010.
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| Edición: | 1st ed. 2010. |
| Colección: | Springer Monographs in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 100 | 1 | |a Shimura, Goro. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Arithmetic of Quadratic Forms |h [electronic resource] / |c by Goro Shimura. |
| 250 | |a 1st ed. 2010. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2010. | |
| 300 | |a XII, 238 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Monographs in Mathematics, |x 2196-9922 | |
| 505 | 0 | |a The Quadratic Reciprocity Law -- Arithmetic in an Algebraic Number Field -- Various Basic Theorems -- Algebras Over a Field -- Quadratic Forms -- Deeper Arithmetic of Quadratic Forms -- Quadratic Diophantine Equations. | |
| 520 | |a This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains the investigation of Gauss on the sums of three squares as a special case. To make the book concise, the author proves some basic theorems in number theory only in some special cases. However, the book is self-contained when the base field is the rational number field, and the main theorems are stated with an arbitrary number field as the base field. So the reader familiar with class field theory will be able to learn the arithmetic theory of quadratic forms with no further references. | ||
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Universal algebra. | |
| 650 | 1 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Algebra. |
| 650 | 2 | 4 | |a General Algebraic Systems. |
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| 776 | 0 | 8 | |i Printed edition: |z 9781441917386 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461426189 |
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| 830 | 0 | |a Springer Monographs in Mathematics, |x 2196-9922 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4419-1732-4 |z Texto Completo |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
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