Print on Demand. This book presents a nuanced theory of quadratic forms, which are mathematical objects that have been studied for centuries. The author, who is an expert in number theory, provides a comprehensive analysis of the properties of quadratic forms and their applications in various fields of mathematics. The book begins with a historical overview of the development of the theory of quadratic forms, from its origins in the work of Gauss to its modern applications in areas such as algebra and geometry. The author then introduces the basic concepts of the theory of quadratic forms, including the discriminant, the class group, and the signature. The book concludes with a discussion of the connections between the theory of quadratic forms and other areas of mathematics, such as representation theory and algebraic topology. This book is an invaluable resource for anyone interested in the theory of quadratic forms. It is written in a clear and concise style, and it provides a wealth of information on this important topic. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

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Bibliographic Details

Title

Formes Quadratiques Et Multiplication Complexe (Classic Reprint)

Publisher

Forgotten Books

Publication Date

2024

Language

French

ISBN 10

1390102068

ISBN 13

9781390102062

Binding

Paperback

Condition

New

Book Type

print-on-demand item

Seller catalogs

Books in French

About this title

Synopsis

Two fundamental formulas connect quadratic forms with complex multiplication, revealing deep links in number theory.

Cet ouvrage pr�sente une �tude approfondie des rapports entre les formes quadratiques et les fonctions elliptiques, autour de deux formules remarquables attribu�es � Kronecker. Il propose une pr�sentation claire des id�es qui lient les formes arithm�tiques de Gauss � la multiplication complexe d’Abel, et il montre comment ces r�sultats s’appliquent � des notions comme les classes et les genres.

Exploration des deux formules fondamentales et de leurs implications en th�orie des formes quadratiques
D�monstrations et d�ductions li�es aux sommes de Gauss et � la r�ciprocit�
Applications aux structures des classes primitives et des groupes de classes
Discussion sur les liens entre les formes quadratiques et les fonctions elliptiques

Id�al pour les lecteurs de math�matiques avanc�es et d’histoire des id�es en th�orie des nombres, ce livre s’adresse � ceux qui recherchent une pr�sentation rigoureuse et accessible du sujet.

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Store Description

Forgotten Books? Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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FB& C
Dalton House, 60 Windsor Ave, London, SW19 2RR, United Kingdom

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