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Author: Istvan Gaal Publisher: Springer Science & Business Media ISBN: 1461200857 Category : Mathematics Languages : en Pages : 192
Book Description
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: Istvan Gaal Publisher: Springer Science & Business Media ISBN: 1461200857 Category : Mathematics Languages : en Pages : 192
Book Description
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 ISBN: 3030238652 Category : Mathematics Languages : en Pages : 335
Book Description
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: Jan-Hendrik Evertse Publisher: Cambridge University Press ISBN: 1107097614 Category : Mathematics Languages : en Pages : 477
Book Description
The first comprehensive and up-to-date account of discriminant equations and their applications. For graduate students and researchers.
Author: Kalman Gyoery Publisher: Walter de Gruyter ISBN: 3110809796 Category : Mathematics Languages : en Pages : 617
Book Description
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: Melvyn B. Nathanson Publisher: Springer Nature ISBN: 3030311066 Category : Mathematics Languages : en Pages : 237
Book Description
Based on talks from the 2017 and 2018 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 17 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, commutative algebra and discrete geometry, and applications of logic and nonstandard analysis to number theory. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.
Author: Wladyslaw Narkiewicz Publisher: Springer Science & Business Media ISBN: 3662070014 Category : Mathematics Languages : en Pages : 712
Book Description
This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list of open problems.
Author: Susanne Schmitt Publisher: Walter de Gruyter ISBN: 3110198010 Category : Mathematics Languages : en Pages : 378
Book Description
The basics of the theory of elliptic curves should be known to everybody, be he (or she) a mathematician or a computer scientist. Especially everybody concerned with cryptography should know the elements of this theory. The purpose of the present textbook is to give an elementary introduction to elliptic curves. Since this branch of number theory is particularly accessible to computer-assisted calculations, the authors make use of it by approaching the theory under a computational point of view. Specifically, the computer-algebra package SIMATH can be applied on several occasions. However, the book can be read also by those not interested in any computations. Of course, the theory of elliptic curves is very comprehensive and becomes correspondingly sophisticated. That is why the authors made a choice of the topics treated. Topics covered include the determination of torsion groups, computations regarding the Mordell-Weil group, height calculations, S-integral points. The contents is kept as elementary as possible. In this way it becomes obvious in which respect the book differs from the numerous textbooks on elliptic curves nowadays available.
Author: Istvan Gaal
Author: Istvan Gaal
Author: István Gaál
Author: Jan-Hendrik Evertse
Author: Nigel P. Smart
Author: Jan-Hendrik Evertse
Author: Jordi Guàrdia
Author: Kalman Gyoery
Author: Melvyn B. Nathanson
Author: Wladyslaw Narkiewicz
Author: Susanne Schmitt