Advanced Number Theory with Applications, Mollin, Richard A.
Автор: Stanley Название: Enumerative Combinatorics ISBN: 1107602629 ISBN-13(EAN): 9781107602625 Издательство: Cambridge Academ Рейтинг: Цена: 5988.00 р. 8554.00-30% Наличие на складе: Есть (1 шт.) Описание: Richard Stanley`s two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes more than 300 new exercises, many with solutions, updated and expanded chapter bibliographies and substantial new material on permutation statistics.
Автор: Goldfeld Название: Automorphic Forms and L-Functions for the Group GL(n,R) ISBN: 1107565022 ISBN-13(EAN): 9781107565029 Издательство: Cambridge Academ Рейтинг: Цена: 9029.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with basic knowledge of classical analysis, complex variable theory, and algebra.
Автор: Kowalski Emmanuel Название: An Introduction to Probabilistic Number Theory ISBN: 1108840965 ISBN-13(EAN): 9781108840965 Издательство: Cambridge Academ Рейтинг: Цена: 6653.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Probabilistic number theory studies the many surprising interactions between whole numbers and the theory of random processes. This incisive textbook for beginning graduate students is the first to present and explain some of the most modern developments in the field, focusing on key examples and probabilistic ideas in the arguments.
Автор: Mollin Название: Advanced Number Theory with Applications ISBN: 1138113255 ISBN-13(EAN): 9781138113251 Издательство: Taylor&Francis Рейтинг: Цена: 11789.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and more than 1,500 entries in the index so that students can easily cross-reference and find the appropriate data.
With numerous examples throughout, the text begins with coverage of algebraic number theory, binary quadratic forms, Diophantine approximation, arithmetic functions, p-adic analysis, Dirichlet characters, density, and primes in arithmetic progression. It then applies these tools to Diophantine equations, before developing elliptic curves and modular forms. The text also presents an overview of Fermat's Last Theorem (FLT) and numerous consequences of the ABC conjecture, including Thue-Siegel-Roth theorem, Hall's conjecture, the Erd s-Mollin--Walsh conjecture, and the Granville-Langevin Conjecture. In the appendix, the author reviews sieve methods, such as Eratothesenes', Selberg's, Linnik's, and Bombieri's sieves. He also discusses recent results on gaps between primes and the use of sieves in factoring.
By focusing on salient techniques in number theory, this textbook provides the most up-to-date and comprehensive material for a second course in this field. It prepares students for future study at the graduate level.
Автор: Ceccherini-Silberstein, Tullio, Название: Discrete harmonic analysis : ISBN: 1107182336 ISBN-13(EAN): 9781107182332 Издательство: Cambridge Academ Рейтинг: Цена: 13781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This self-contained book introduces discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform. Featuring plenty of examples and over 160 exercises, this book will be a valuable reference for graduate students and researchers in mathematics, engineering, and computer science.
Описание: Aimed at advanced students and active researchers in mathematics or theoretical physics, this book provides a detailed exposition of automorphic forms and representations, from the basics up to cutting-edge research topics at the interface between number theory and string theory.
Автор: Andrei Rapinchuk, Igor Rapinchuk, Vladimir Platonov Название: Algebraic Groups and Number Theory: Volume 1 ISBN: 052111361X ISBN-13(EAN): 9780521113618 Издательство: Cambridge Academ Рейтинг: Цена: 8710.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. This revised second edition, now published in two volumes, retains the same goals, while incorporating corrections and improvements, as well as new material covering more recent developments. Volume I begins with chapters covering background material on number theory, algebraic groups, and cohomology (both abelian and non-abelian), and then turns to algebraic groups over locally compact fields. The remaining two chapters provide a detailed treatment of arithmetic subgroups and reduction theory in both the real and adelic settings. Volume I includes new material on groups with bounded generation and abstract arithmetic groups. With minimal prerequisites and complete proofs given whenever possible, this book is suitable for self-study for graduate students wishing to learn the subject as well as a reference for researchers in number theory, algebraic geometry, and related areas.
Автор: Peter Schneider Название: Galois Representations and (Phi, Gamma)-Modules ISBN: 110718858X ISBN-13(EAN): 9781107188587 Издательство: Cambridge Academ Рейтинг: Цена: 8554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first detailed and self-contained introduction to a key part of local number theory, which uses the general framework of Lubin-Tate extensions of local number fields. This book allows graduate students to acquire the necessary basis for solving research problems, while also offering researchers many of the basic results.
Автор: Evertse Название: Unit Equations in Diophantine Number Theory ISBN: 1107097606 ISBN-13(EAN): 9781107097605 Издательство: Cambridge Academ Рейтинг: Цена: 10611.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Unit equations play a central role in Diophantine number theory. This book provides a comprehensive and up-to-date treatment of unit equations and their various applications. It brings together the most important results and gives an overview of the basic techniques, making it accessible to young researchers.
Автор: Henri Cohen Название: Advanced Topics in Computational Number Theory ISBN: 0387987274 ISBN-13(EAN): 9780387987279 Издательство: Springer Рейтинг: Цена: 9362.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory.
Автор: Henri Cohen Название: Advanced Topics in Computational Number Theory ISBN: 1461264197 ISBN-13(EAN): 9781461264194 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The computation of invariants of algebraic number fields such as integral bases, discriminants, prime decompositions, ideal class groups, and unit groups is important both for its own sake and for its numerous applications, for example, to the solution of Diophantine equations. The practical com- pletion of this task (sometimes known as the Dedekind program) has been one of the major achievements of computational number theory in the past ten years, thanks to the efforts of many people. Even though some practical problems still exist, one can consider the subject as solved in a satisfactory manner, and it is now routine to ask a specialized Computer Algebra Sys- tem such as Kant/Kash, liDIA, Magma, or Pari/GP, to perform number field computations that would have been unfeasible only ten years ago. The (very numerous) algorithms used are essentially all described in A Course in Com- putational Algebraic Number Theory, GTM 138, first published in 1993 (third corrected printing 1996), which is referred to here as CohO]. That text also treats other subjects such as elliptic curves, factoring, and primality testing. Itis important and natural to generalize these algorithms. Several gener- alizations can be considered, but the most important are certainly the gen- eralizations to global function fields (finite extensions of the field of rational functions in one variable overa finite field) and to relative extensions ofnum- ber fields. As in CohO], in the present book we will consider number fields only and not deal at all with function fields.
Автор: Kedlaya, Kiran S. (university Of California, San Diego) Название: P-adic differential equations ISBN: 1009123343 ISBN-13(EAN): 9781009123341 Издательство: Cambridge Academ Рейтинг: Цена: 10294.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book surveys the theory of $P$-adic differential equations, from the foundations of $P$-adic numbers to the current frontiers of research. It assumes only a graduate-level background in number theory, and includes detailed chapter notes as well as numerous exercises. This second edition features new material on global theory.
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