Isbn: 9780243353521 - journal de mathématiques pures et appliquées, 1877, vol. 3 (classic reprint) (3 résultats)

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Paperback. Etat : New. Print on Demand. This book delves into the theory of quadratic forms, which are mathematical expressions used to describe geometric figures and solve problems in number theory. The author presents a novel approach to the subject, introducing new conditions for the reduction of these forms and exploring their geometric interpretations. The text begins by examining binary quadratic forms, which involve two variables, before extending the theory to ternary quadratic forms with three variables. The author provides a detailed analysis of the conditions under which these forms can be reduced to simpler equivalents, and discusses the relationships between different reduced forms. The book then explores the concept of periods, where certain reduced forms repeat themselves in a cyclic pattern. The author introduces the notion of "special reduced forms" and "intermediate reduced forms" within these periods, and demonstrates how to identify and distinguish between them. By combining a rigorous mathematical approach with clear explanations and examples, this book provides a valuable resource for researchers and students in number theory. It offers new insights into the theory of quadratic forms and lays the foundation for further exploration in this field. 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. print-on-demand item.…