Diophantine Analysis (Classic Reprint) - Couverture souple

Robert D. Carmichael

 
9781332313754: Diophantine Analysis (Classic Reprint)

Synopsis

Discover a structured approach to Diophantine analysis that builds a coherent, usable body of knowledge. This university‑level text presents a broad view of solving equations with rational or integral solutions, focusing on non‑linear problems and systematic methods. The work emphasizes unity and brevity, organizing many classic results into a connected framework.

The book introduces key ideas such as the notion of a multiplicative domain and the method of infinite descent, then shows how to apply these concepts to a wide range of problems. It also explains how exercises are designed to develop technique, illustrate important results, and point to open questions.


  • Clear definitions of Diophantine equations and systems, rational vs. integral solutions, and primitive solutions.

  • Step‑by‑step methods that connect theory to problem solving, with emphasis on practical application.

  • Guided exploration of higher‑degree equations, reductions, and constructive solution techniques.

  • A large set of exercises categorized to reinforce skills and reveal known results.



Ideal for readers who want a solid, method‑driven introduction to Diophantine analysis and a foundation that supports further study in number theory and algebra. This edition offers a unified vantage point for the subject, with practical paths from concepts to problem solving.

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Présentation de l'éditeur

Excerpt from Diophantine Analysis

The table Of contents affords an indication of the extent and arrangement of the material embodied in the work.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780331884630: Diophantine Analysis (Classic Reprint)

Edition présentée

ISBN 10 :  0331884631 ISBN 13 :  9780331884630
Editeur : Forgotten Books, 2018
Couverture rigide