Number Theory, K. Alladi

Автор: Yan Song Y
Название: Computational Number Theory and Modern Cryptography
ISBN: 1118188586 ISBN-13(EAN): 9781118188583
Издательство: Wiley
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Описание: * Makes deep mathematical problems accessible to computer scientists and engineers * Based on classroom tested materials used in the US, UK and China * Exercises included in every chapter * Instructor resources available on the book s Companion Website .

Автор: Travaglini
Название: Number Theory, Fourier Analysis and Geometric Discrepancy
ISBN: 1107619858 ISBN-13(EAN): 9781107619852
Издательство: Cambridge Academ
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Описание: Geometric discrepancy theory is a rapidly growing modern field. This book provides a complete introduction to the topic with exposition based on classical number theory and Fourier analysis, but assuming no prior knowledge of either. Ideal as a guide to the subject for advanced undergraduate or beginning graduate students.

Автор: Ash Avner, Gross Robert
Название: Elliptic Tales: Curves, Counting, and Number Theory
ISBN: 0691163502 ISBN-13(EAN): 9780691163505
Издательство: Wiley
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Описание: Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem. The key to the conjecture

Автор: Travaglini
Название: Number Theory, Fourier Analysis and Geometric Discrepancy
ISBN: 1107044030 ISBN-13(EAN): 9781107044036
Издательство: Cambridge Academ
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Описание: Geometric discrepancy theory is a rapidly growing modern field. This book provides a complete introduction to the topic with exposition based on classical number theory and Fourier analysis, but assuming no prior knowledge of either. Ideal as a guide to the subject for advanced undergraduate or beginning graduate students.

Автор: Krishnaswami Alladi
Название: Surveys in Number Theory
ISBN: 1441926895 ISBN-13(EAN): 9781441926890
Издательство: Springer
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Цена: 16070.00 р.
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Описание: Number theory has a wealth of long-standing problems, the study of which has led to developments in many areas of mathematics. This volume, written by distinguished mathematicians, consists of seven significant chapters on number theory and related topics.

Автор: Apostol Tom M
Название: Introduction to Analytic Number Theory
ISBN: 1441928057 ISBN-13(EAN): 9781441928054
Издательство: Springer
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Цена: 7400.00 р.
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Описание: "This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory.

Автор: Andrew Granville; Ze?v Rudnick
Название: Equidistribution in Number Theory, An Introduction
ISBN: 1402054033 ISBN-13(EAN): 9781402054037
Издательство: Springer
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Цена: 21661.00 р.
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Описание: Written for graduate students and researchers, this work provides an introduction to the concept of equidistribution in number theory, which is of importance in many areas, including cryptography, zeros of L-functions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos.

Автор: Stark, Harold M.,
Название: An introduction to number theory /
ISBN: 0262690608 ISBN-13(EAN): 9780262690607
Издательство: MIT Press
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Описание:

The majority of students who take courses in number theory are mathematics majors who will not become number theorists. Many of them will, however, teach mathematics at the high school or junior college level, and this book is intended for those students learning to teach, in addition to a careful presentation of the standard material usually taught in a first course in elementary number theory, this book includes a chapter on quadratic fields which the author has designed to make students think about some of the "obvious" concepts they have taken for granted earlier. The book also includes a large number of exercises, many of which are nonstandard.

Автор: Eichelsbacher Peter
Название: Limit Theorems in Probability, Statistics and Number Theory
ISBN: 364236067X ISBN-13(EAN): 9783642360671
Издательство: Springer
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Цена: 20962.00 р.
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Описание:

​Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and approximation theory, and are important for new approaches in geometric and metric number theory as well. Thus, the contributions in this book include a wide range of applications with surprising connections ranging from longest common subsequences for words, permutation groups, random matrices and free probability to entropy problems and metric number theory.

The book is the product of a conference that took place in August 2011 in Bielefeld, Germany to celebrate the 60th birthday of Friedrich G tze, a noted expert in this field.

Автор: Stillwell John
Название: Elements of Number Theory
ISBN: 1441930663 ISBN-13(EAN): 9781441930668
Издательство: Springer
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Описание: This book is intended to complement my Elements oi Algebra, and it is similarly motivated by the problem of solving polynomial equations. However, it is independent of the algebra book, and probably easier. In Elements oi Algebra we sought solution by radicals, and this led to the concepts of fields and groups and their fusion in the celebrated theory of Galois. In the present book we seek integer solutions, and this leads to the concepts of rings and ideals which merge in the equally celebrated theory of ideals due to Kummer and Dedekind. Solving equations in integers is the central problem of number theory, so this book is truly a number theory book, with most of the results found in standard number theory courses. However, numbers are best understood through their algebraic structure, and the necessary algebraic concepts- rings and ideals-have no better motivation than number theory. The first nontrivial examples of rings appear in the number theory of Euler and Gauss. The concept of ideal-today as routine in ring the- ory as the concept of normal subgroup is in group theory-also emerged from number theory, and in quite heroic fashion. Faced with failure of unique prime factorization in the arithmetic of certain generalized "inte- gers," Kummer created in the 1840s a new kind of number to overcome the difficulty. He called them "ideal numbers" because he did not know exactly what they were, though he knew how they behaved.

Автор: Wenpeng Zhang; Yoshio Tanigawa
Название: Number Theory
ISBN: 1441940251 ISBN-13(EAN): 9781441940254
Издательство: Springer
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Цена: 25155.00 р.
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Описание: This book collects survey and research papers on various topics in number theory. Although the topics and descriptive details appear varied, they are unified by two underlying principles: first, readability, and second, a smooth transition from traditional approaches to modern ones.

Автор: Valentin Blomer; Preda Mih?ilescu
Название: Contributions in Analytic and Algebraic Number Theory
ISBN: 1489991581 ISBN-13(EAN): 9781489991584
Издательство: Springer
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Описание: The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry.