Unit Equations In Diophantine Number Theory
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Unit Equations in Diophantine Number Theory
Author | : Jan-Hendrik Evertse,Klmn Gyory |
Publsiher | : Cambridge University Press |
Total Pages | : 381 |
Release | : 2015-12-30 |
Genre | : Mathematics |
ISBN | : 9781107097605 |
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A comprehensive, graduate-level treatment of unit equations and their various applications.
Discriminant Equations in Diophantine Number Theory
Author | : Jan-Hendrik Evertse,Klmn Gyory |
Publsiher | : Cambridge University Press |
Total Pages | : 477 |
Release | : 2016-11-03 |
Genre | : Mathematics |
ISBN | : 9781107097612 |
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The first comprehensive and up-to-date account of discriminant equations and their applications. For graduate students and researchers.
Number Theory
Author | : Henri Cohen |
Publsiher | : Springer Science & Business Media |
Total Pages | : 673 |
Release | : 2007-05-23 |
Genre | : Mathematics |
ISBN | : 9780387499222 |
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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.
Number Theory
Author | : Daniel Duverney |
Publsiher | : World Scientific |
Total Pages | : 348 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 9789814307468 |
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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.
Number Theory Unit 8 Diophantine Equations
![Number Theory Unit 8 Diophantine Equations](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Open University M381/Number theory/Unit 8,Alan Best |
Publsiher | : Unknown |
Total Pages | : 48 |
Release | : 2009-05-16 |
Genre | : Diophantine equations |
ISBN | : 0749222786 |
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Topics covered in this unit include Pell's equation, The Pythagorean equation, Fermat's last Theorem, and Sums of squares.To order all 8 units in the Number Theory series please see produc M381/PP02
Number Theory
Author | : Róbert Freud,Edit Gyarmati |
Publsiher | : American Mathematical Soc. |
Total Pages | : 549 |
Release | : 2020-10-08 |
Genre | : Education |
ISBN | : 9781470452759 |
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Number Theory is a newly translated and revised edition of the most popular introductory textbook on the subject in Hungary. The book covers the usual topics of introductory number theory: divisibility, primes, Diophantine equations, arithmetic functions, and so on. It also introduces several more advanced topics including congruences of higher degree, algebraic number theory, combinatorial number theory, primality testing, and cryptography. The development is carefully laid out with ample illustrative examples and a treasure trove of beautiful and challenging problems. The exposition is both clear and precise. The book is suitable for both graduate and undergraduate courses with enough material to fill two or more semesters and could be used as a source for independent study and capstone projects. Freud and Gyarmati are well-known mathematicians and mathematical educators in Hungary, and the Hungarian version of this book is legendary there. The authors' personal pedagogical style as a facet of the rich Hungarian tradition shines clearly through. It will inspire and exhilarate readers.
Diophantine Equations and Power Integral Bases
Author | : István Gaál |
Publsiher | : Springer Nature |
Total Pages | : 326 |
Release | : 2019-09-03 |
Genre | : Mathematics |
ISBN | : 9783030238650 |
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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.
Algebraic Number Theory and Diophantine Analysis
Author | : F. Halter-Koch,Robert F. Tichy |
Publsiher | : Walter de Gruyter |
Total Pages | : 573 |
Release | : 2011-06-24 |
Genre | : Mathematics |
ISBN | : 9783110801958 |
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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.