Diophantine Analysis (Classic Reprint) - Softcover

Name: Diophantine Analysis (Classic Reprint)
Author: Murphy, James Gracey
ISBN: 9781332313754

Murphy, James Gracey

9781332313754: Diophantine Analysis (Classic Reprint)

Softcover

ISBN 10: 1332313752 ISBN 13: 9781332313754

Verlag: Forgotten Books, 2018

Alle Exemplare dieser ISBN-Ausgabe

0 Gebraucht

4 Neu

Von EUR 17,34

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag: Forgotten Books
Erscheinungsdatum: 2018
Sprache: Englisch
ISBN 10: 1332313752
ISBN 13: 9781332313754
Einband: Taschenbuch
Anzahl der Seiten: 130
Kontakt zum Hersteller: Nicht verf�gbar
Verantwortliche Person: Nicht verf�gbar

Suchergebnisse f�r Diophantine Analysis (Classic Reprint)

Foto des Verk�ufers

Diophantine Analysis (Classic Reprint)

Robert D. Carmichael

Verlag: Forgotten Books, 2018

ISBN 10: 1332313752 ISBN 13: 9781332313754

Neu Paperback

Print-on-Demand

Anbieter: Forgotten Books, London, Vereinigtes K�nigreich

Verk�uferbewertung 5 von 5 Sternen

Paperback. Zustand: New. Print on Demand. This book invites readers on an engaging journey into the fascinating world of Diophantine analysis, a branch of number theory dedicated to solving equations with integer solutions. The author explores a rich history of this subject, tracing its roots back to the ancient Greek mathematician Diophantus and highlighting the significant contributions of mathematicians like Fermat and Euler. The book delves into the problem of finding integer solutions for various equations, from the classic Pythagorean theorem to more complex equations involving higher powers. The author provides a systematic framework for understanding and solving these problems, introducing two innovative approaches: the method of the multiplicative domain and the method of functional equations. The book offers a comprehensive exploration of Diophantine analysis, combining historical context with practical methods and a diverse array of solved and unsolved problems, making it an invaluable resource for anyone interested in the beauty and challenge of this area of mathematics. 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. Bestandsnummer des Verk�ufers 9781332313754_0

Verk�ufer kontaktieren