Algebraic Number Theory And Diophantine Analysis
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Author |
: Henri Cohen |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 619 |
Release |
: 2008-12-17 |
ISBN-10 |
: 9780387498942 |
ISBN-13 |
: 038749894X |
Rating |
: 4/5 (42 Downloads) |
Synopsis Number Theory by : Henri Cohen
This book deals with several aspects of what is now called "explicit number theory." The central theme 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 local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject.
Author |
: H. P. F. Swinnerton-Dyer |
Publisher |
: Cambridge University Press |
Total Pages |
: 164 |
Release |
: 2001-02-22 |
ISBN-10 |
: 0521004233 |
ISBN-13 |
: 9780521004237 |
Rating |
: 4/5 (33 Downloads) |
Synopsis A Brief Guide to Algebraic Number Theory by : H. P. F. Swinnerton-Dyer
Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.
Author |
: Edward B. Burger |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 160 |
Release |
: 2000 |
ISBN-10 |
: 9780821826409 |
ISBN-13 |
: 0821826409 |
Rating |
: 4/5 (09 Downloads) |
Synopsis Exploring the Number Jungle: A Journey into Diophantine Analysis by : Edward B. Burger
The minimal background requirements and the author's fresh approach make this book enjoyable and accessible to a wide range of students, mathematicians, and fans of number theory."--BOOK JACKET.
Author |
: Daniel Duverney |
Publisher |
: World Scientific |
Total Pages |
: 348 |
Release |
: 2010 |
ISBN-10 |
: 9789814307468 |
ISBN-13 |
: 9814307467 |
Rating |
: 4/5 (68 Downloads) |
Synopsis Number Theory by : Daniel Duverney
This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory. Clear, concise, and self-contained, the topics are covered in 12 chapters with more than 200 solved exercises. The textbook may be used by undergraduates and graduate students, as well as high school mathematics teachers. More generally, it will be suitable for all those who are interested in number theory, the fascinating branch of mathematics.
Author |
: Jan-Hendrik Evertse |
Publisher |
: Cambridge University Press |
Total Pages |
: 381 |
Release |
: 2015-12-30 |
ISBN-10 |
: 9781107097605 |
ISBN-13 |
: 1107097606 |
Rating |
: 4/5 (05 Downloads) |
Synopsis Unit Equations in Diophantine Number Theory by : Jan-Hendrik Evertse
A comprehensive, graduate-level treatment of unit equations and their various applications.
Author |
: Avner Ash |
Publisher |
: Princeton University Press |
Total Pages |
: 277 |
Release |
: 2012 |
ISBN-10 |
: 9780691151199 |
ISBN-13 |
: 0691151199 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Elliptic Tales by : Avner Ash
Describes the latest developments in number theory by looking at the Birch and Swinnerton-Dyer Conjecture.
Author |
: F. Halter-Koch |
Publisher |
: Walter de Gruyter |
Total Pages |
: 573 |
Release |
: 2011-06-24 |
ISBN-10 |
: 9783110801958 |
ISBN-13 |
: 3110801957 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Algebraic Number Theory and Diophantine Analysis by : F. Halter-Koch
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author |
: Istvan Gaal |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 192 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461200857 |
ISBN-13 |
: 1461200857 |
Rating |
: 4/5 (57 Downloads) |
Synopsis Diophantine Equations and Power Integral Bases by : Istvan Gaal
Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational algebraic number theory.; The text is illustrated with several tables of various number fields, including their data on power integral bases.; Several interesting properties of number fields are examined.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.
Author |
: István Gaál |
Publisher |
: Springer Nature |
Total Pages |
: 335 |
Release |
: 2019-09-03 |
ISBN-10 |
: 9783030238650 |
ISBN-13 |
: 3030238652 |
Rating |
: 4/5 (50 Downloads) |
Synopsis Diophantine Equations and Power Integral Bases by : István Gaál
Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational algebraic number theory.; The text is illustrated with several tables of various number fields, including their data on power integral bases.; Several interesting properties of number fields are examined.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.
Author |
: Paulo Ribenboim |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 676 |
Release |
: 2013-11-11 |
ISBN-10 |
: 9780387216904 |
ISBN-13 |
: 0387216901 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Classical Theory of Algebraic Numbers by : Paulo Ribenboim
The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the learning of more recent topics.