جهت دسترسی به کاربرگه ی زیر، از این لینک استفاده کنید. http://dl.pgu.ac.ir/handle/Hannan/165122
Title: Quadratic Diophantine Equations;
Authors: Andreescu, Titu.
Andrica, Dorin.
Keywords: Mathematics;Algebra.;Number theory.;Mathematics;Number Theory.;Algebra.;512.7;QA241-247.5
Issue Date: 2015
Publisher: Springer New York :.;Imprint: Springer,
place: New York, NY
Series/Report no.: Developments in Mathematics, 1389-2177 40.;Developments in Mathematics, 1389-2177 40.
Abstract: This monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open problems. The authors motivate the study of quadratic Diophantine equations with excellent examples, open problems, and applications. Moreover, the exposition aptly demonstrates many applications of results and techniques from the study of Pell-type equations to other problems in number theory. The book is intended for advanced undergraduate and graduate students as well as researchers. It challenges the reader to apply not only specific techniques and strategies, but also to employ methods and tools from other areas of mathematics, such as algebra and analysis.
Description: Printed edition: 9780387351568.
Table Of Contents: Why Quadratic Diophantine Equations? -- Continued Fractions, Diophantine Approximation and Quadratic Rings -- Pell's Equation -- General Pell's Equation -- Equations Reducible to Pell's Type Equations -- Diophantine Representations of Some Sequences -- Other Applications.
URI: http://dl.pgu.ac.ir/handle/Hannan/165122
ISBN: 9780387541099.
9780387351568 (print)
Format: 
Edition: 
Type Of Material: Latin Book
Appears in Collections:Mathematics Ebook

Files in This Item:
File Description SizeFormat 
9780387541099.pdf2.01 MBAdobe PDFThumbnail
Download    Request a copy


تمامی کاربرگه ها در کتابخانه ی دیجیتال حنان به صورت کامل محافظت می شوند.