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.
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Excerpt from Diophantine Analysis
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Vendeur : Forgotten Books, London, Royaume-Uni
Paperback. Etat : 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. N° de réf. du vendeur 9781332313754_0
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Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332313754
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Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332313754
Quantité disponible : 15 disponible(s)
Vendeur : Revaluation Books, Exeter, Royaume-Uni
Paperback. Etat : Brand New. 130 pages. 9.00x6.00x0.30 inches. In Stock. This item is printed on demand. N° de réf. du vendeur 1332313752
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