[PDF] Diophantine Equations

Diophantine Equations PDF
Author:
Publisher: Academic Press
ISBN: 9780080873428
Size: 33.64 MB
Format: PDF, Mobi
Category : Mathematics
Languages : un
Pages : 311
View: 467

Get Book


Diophantine Equations

by , release date 1969, Diophantine Equations Books available in PDF, EPUB, Mobi Format. Download Diophantine Equations books, Diophantine Equations




[PDF] An Introduction To Diophantine Equations

An Introduction to Diophantine Equations PDF
Author: Titu Andreescu
Publisher: Birkhäuser
ISBN: 9780817645489
Size: 11.77 MB
Format: PDF, Kindle
Category : Mathematics
Languages : un
Pages : 345
View: 6467

Get Book


An Introduction To Diophantine Equations

by Titu Andreescu, release date 2010-09-13, An Introduction To Diophantine Equations Books available in PDF, EPUB, Mobi Format. Download An Introduction To Diophantine Equations books, This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.




[PDF] Biquadratic Diophantine Equations With Integer Solutions

BIQUADRATIC DIOPHANTINE EQUATIONS WITH INTEGER SOLUTIONS PDF
Author: Prof. Dr. M.A. Gopalan
Publisher: KY Publications
ISBN: 9387769232
Size: 68.76 MB
Format: PDF
Category : Mathematics
Languages : un
Pages : 83
View: 3931

Get Book


Biquadratic Diophantine Equations With Integer Solutions

by Prof. Dr. M.A. Gopalan, release date 2018-07-01, Biquadratic Diophantine Equations With Integer Solutions Books available in PDF, EPUB, Mobi Format. Download Biquadratic Diophantine Equations With Integer Solutions books, The theory of Diophantine equation is an ancient subject that typically involves solving polynomial equations in integers. It is well known that a Diophantine equation is an equation with integer coefficient and multiple variables ( 2) having integer solutions. There is no universal method available to know whether a Diophantine equation has a solutions or finding all solutions, if it exists. Proving that even simple Diophantine equations have no solutions may require very sophisticated methods and in such cases, a lot of deep and beautiful mathematics get generated as a result. It is worth to observe that Diophatine equations are rich in variety. A collection of special Problems on biquadratic equations in 3,4,5 & 6 variables has been treated in sections A to D respectively. Different sets of integer solutions to each of the biquadratic diophatine equations are illustrated.




[PDF] Number Theory

Number Theory PDF
Author: Henri Cohen
Publisher: Springer Science & Business Media
ISBN: 0387499237
Size: 40.11 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : un
Pages : 650
View: 6357

Get Book


Number Theory

by Henri Cohen, release date 2008-10-10, Number Theory Books available in PDF, EPUB, Mobi Format. Download Number Theory books, The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques.




[PDF] Diophantus And Diophantine Equations

Diophantus and Diophantine Equations PDF
Author: Isabella Grigoryevna Bashmakova
Publisher: American Mathematical Soc.
ISBN: 1470450488
Size: 59.37 MB
Format: PDF, ePub, Mobi
Category :
Languages : un
Pages : 90
View: 5438

Get Book


Diophantus And Diophantine Equations

by Isabella Grigoryevna Bashmakova, release date 2019-01-18, Diophantus And Diophantine Equations Books available in PDF, EPUB, Mobi Format. Download Diophantus And Diophantine Equations books, This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus—a person whose very existence has long been doubted by most historians of mathematics—will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the Renaissance and in the work of Fermat. This account is continued to our own day and ends with an afterword by Joseph Silverman, who notes the most recent developments including the proof of Fermat's Last Theorem.




[PDF] Geometric Theorems Diophantine Equations And Arithmetic Functions

Geometric Theorems  Diophantine Equations  and Arithmetic Functions PDF
Author: J. Sándor
Publisher: Infinite Study
ISBN: 1931233519
Size: 12.13 MB
Format: PDF, ePub, Mobi
Category : Arithmetic functions
Languages : un
Pages : 298
View: 6225

Get Book


Geometric Theorems Diophantine Equations And Arithmetic Functions

by J. Sándor, release date 2002, Geometric Theorems Diophantine Equations And Arithmetic Functions Books available in PDF, EPUB, Mobi Format. Download Geometric Theorems Diophantine Equations And Arithmetic Functions books,




[PDF] An Introduction To Diophantine Equations

An Introduction to Diophantine Equations PDF
Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817645497
Size: 65.61 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 345
View: 1658

Get Book


An Introduction To Diophantine Equations

by Titu Andreescu, release date 2010-09-02, An Introduction To Diophantine Equations Books available in PDF, EPUB, Mobi Format. Download An Introduction To Diophantine Equations books, This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.




[PDF] Elliptic Diophantine Equations

Elliptic Diophantine Equations PDF
Author: Nikos Tzanakis
Publisher: Walter de Gruyter
ISBN: 3110281147
Size: 75.12 MB
Format: PDF, Docs
Category : Mathematics
Languages : un
Pages : 195
View: 4344

Get Book


Elliptic Diophantine Equations

by Nikos Tzanakis, release date 2013-08-29, Elliptic Diophantine Equations Books available in PDF, EPUB, Mobi Format. Download Elliptic Diophantine Equations books, This book presents in a unified and concrete way the beautiful and deep mathematics - both theoretical and computational - on which the explicit solution of an elliptic Diophantine equation is based. It collects numerous results and methods that are scattered in the literature. Some results are hidden behind a number of routines in software packages, like Magma and Maple; professional mathematicians very often use these routines just as a black-box, having little idea about the mathematical treasure behind them. Almost 20 years have passed since the first publications on the explicit solution of elliptic Diophantine equations with the use of elliptic logarithms. The "art" of solving this type of equation has now reached its full maturity. The author is one of the main persons that contributed to the development of this art. The monograph presents a well-balanced combination of a variety of theoretical tools (from Diophantine geometry, algebraic number theory, theory of linear forms in logarithms of various forms - real/complex and p-adic elliptic - and classical complex analysis), clever computational methods and techniques (LLL algorithm and de Weger's reduction technique, AGM algorithm, Zagier's technique for computing elliptic integrals), ready-to-use computer packages. A result is the solution in practice of a large general class of Diophantine equations.




[PDF] The Algorithmic Resolution Of Diophantine Equations

The Algorithmic Resolution of Diophantine Equations PDF
Author: Nigel P. Smart
Publisher: Cambridge University Press
ISBN: 9780521646338
Size: 25.18 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 243
View: 5470

Get Book


The Algorithmic Resolution Of Diophantine Equations

by Nigel P. Smart, release date 1998-11-12, The Algorithmic Resolution Of Diophantine Equations Books available in PDF, EPUB, Mobi Format. Download The Algorithmic Resolution Of Diophantine Equations books, A coherent account of the computational methods used to solve diophantine equations.




[PDF] Quadratic Diophantine Equations

Quadratic Diophantine Equations PDF
Author: Titu Andreescu
Publisher: Springer
ISBN: 0387541098
Size: 12.39 MB
Format: PDF, ePub
Category : Mathematics
Languages : un
Pages : 211
View: 3363

Get Book


Quadratic Diophantine Equations

by Titu Andreescu, release date 2015-06-29, Quadratic Diophantine Equations Books available in PDF, EPUB, Mobi Format. Download Quadratic Diophantine Equations books, This text 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. The presentation features two basic methods to investigate and motivate the study of quadratic diophantine equations: the theories of continued fractions and quadratic fields. It also discusses Pell’s equation and its generalizations, and presents some important quadratic diophantine equations and applications. The inclusion of examples makes this book useful for both research and classroom settings.