Diophantine Equations Problems

Quadratic Diophantine Equations  eBooks & eLearning

Posted by AvaxGenius at July 8, 2018
Quadratic Diophantine Equations

Quadratic Diophantine Equations by Titu Andreescu
English | PDF(Repost),EPUB | 2015 | 224 Pages | ISBN : 0387351566 | 5.30 MB

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.

Quadratic Diophantine Equations (Repost)  eBooks & eLearning

Posted by AvaxGenius at July 29, 2018
Quadratic Diophantine Equations (Repost)

Quadratic Diophantine Equations by Titu Andreescu
English | PDF,EPUB | 2015 | 224 Pages | ISBN : 0387351566 | 5.30 MB

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.

An Introduction to Diophantine Equations: A Problem-Based Approach (Repost)  eBooks & eLearning

Posted by AvaxGenius at Dec. 19, 2021
An Introduction to Diophantine Equations: A Problem-Based Approach (Repost)

An Introduction to Diophantine Equations: A Problem-Based Approach by Titu Andreescu
English | PDF | 2010 | 350 Pages | ISBN : 0817645489 | 2.6 MB

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 material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I.

An Introduction to Diophantine Equations: A Problem-Based Approach  eBooks & eLearning

Posted by arundhati at Oct. 15, 2019
An Introduction to Diophantine Equations: A Problem-Based Approach

Titu Andreescu, "An Introduction to Diophantine Equations: A Problem-Based Approach"
English | ISBN: 0817645489 | 2010 | 345 pages | PDF | 3 MB

Number Theory Volume I: Tools and Diophantine Equations  eBooks & eLearning

Posted by AvaxGenius at June 19, 2024
Number Theory Volume I: Tools and Diophantine Equations

Number Theory Volume I: Tools and Diophantine Equations by Henri Cohen
English | PDF (True) | 2007 | 673 Pages | ISBN : 0387499229 | 5.2 MB

The central theme of this graduate-level number theory textbook 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 aspects.

Number Theory Volume I: Tools and Diophantine Equations  eBooks & eLearning

Posted by AvaxGenius at June 19, 2024
Number Theory Volume I: Tools and Diophantine Equations

Number Theory Volume I: Tools and Diophantine Equations by Henri Cohen
English | PDF (True) | 2007 | 673 Pages | ISBN : 0387499229 | 5.2 MB

The central theme of this graduate-level number theory textbook 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 aspects.

Number Theory Volume I: Tools and Diophantine Equations  eBooks & eLearning

Posted by AvaxGenius at June 19, 2024
Number Theory Volume I: Tools and Diophantine Equations

Number Theory Volume I: Tools and Diophantine Equations by Henri Cohen
English | PDF (True) | 2007 | 673 Pages | ISBN : 0387499229 | 5.2 MB

The central theme of this graduate-level number theory textbook 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 aspects.

Polynomial Diophantine Equations: A Systematic Approach  eBooks & eLearning

Posted by hill0 at Sept. 2, 2024
Polynomial Diophantine Equations: A Systematic Approach

Polynomial Diophantine Equations: A Systematic Approach
English | 2024 | ISBN: 3031629485 | 824 Pages | PDF EPUB (True) | 96 MB

Polynomial Diophantine Equations: A Systematic Approach  eBooks & eLearning

Posted by hill0 at Sept. 2, 2024
Polynomial Diophantine Equations: A Systematic Approach

Polynomial Diophantine Equations: A Systematic Approach
English | 2024 | ISBN: 3031629485 | 824 Pages | PDF EPUB (True) | 96 MB

Class Groups of Number Fields and Related Topics (Repost)  eBooks & eLearning

Posted by AvaxGenius at May 9, 2020
Class Groups of Number Fields and Related Topics (Repost)

Class Groups of Number Fields and Related Topics by Kalyan Chakraborty
English | PDF | 2020 | 182 Pages | ISBN : 9811515131 | 2.43 MB

This book gathers original research papers and survey articles presented at the “International Conference on Class Groups of Number Fields and Related Topics,” held at Harish-Chandra Research Institute, Allahabad, India, on September 4–7, 2017. It discusses the fundamental research problems that arise in the study of class groups of number fields and introduces new techniques and tools to study these problems. Topics in this book include class groups and class numbers of number fields, units, the Kummer–Vandiver conjecture, class number one problem, Diophantine equations, Thue equations, continued fractions, Euclidean number fields, heights, rational torsion points on elliptic curves, cyclotomic numbers, Jacobi sums, and Dedekind zeta values.