Описание: 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.
Автор: Komaravolu Chandrasekharan Название: Introduction to Analytic Number Theory ISBN: 3642461263 ISBN-13(EAN): 9783642461262 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. I have to acknowledge my indebtedness to Professor Carl Ludwig Siegel, who has read the book, both in manuscript and in print, and made a number of valuable criticisms and suggestions.
Автор: Andrew Granville; Ze?v Rudnick Название: Equidistribution in Number Theory, An Introduction ISBN: 1402054033 ISBN-13(EAN): 9781402054037 Издательство: Springer Рейтинг: Цена: 21661.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 9311.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Vazzana Название: Introduction to Number Theory, 2nd Edition ISBN: 1498717497 ISBN-13(EAN): 9781498717496 Издательство: Taylor&Francis Рейтинг: Цена: 16078.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert's tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler's theorem in RSA encryption, and quadratic residues in the construction of tournaments.
Ideal for a one- or two-semester undergraduate-level course, this Second Edition:
Features a more flexible structure that offers a greater range of options for course design
Adds new sections on the representations of integers and the Chinese remainder theorem
Expands exercise sets to encompass a wider variety of problems, many of which relate number theory to fields outside of mathematics (e.g., music)
Provides calculations for computational experimentation using SageMath, a free open-source mathematics software system, as well as Mathematica(R) and Maple(TM), online via a robust, author-maintained website
Includes a solutions manual with qualifying course adoption
By tackling both fundamental and advanced subjects--and using worked examples, numerous exercises, and popular software packages to ensure a practical understanding--Introduction to Number Theory, Second Edition instills a solid foundation of number theory knowledge.
Автор: Kenneth Ireland; Michael Rosen Название: A Classical Introduction to Modern Number Theory ISBN: 038797329X ISBN-13(EAN): 9780387973296 Издательство: Springer Рейтинг: Цена: 9916.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Details the historical development of the modern number theory. This text provides wide-ranging coverage of significant results with comparatively elementary proofs. It contains chapters that provide a proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of progress on the arithmetic of elliptic curves.
Автор: Yu. I. Manin; Alexei A. Panchishkin Название: Introduction to Modern Number Theory ISBN: 3642057977 ISBN-13(EAN): 9783642057977 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. This substantially revised and expanded new edition contains several new sections, such as Wiles` proof of Fermat`s Last Theorem, and relevant techniques coming from a synthesis of various theories.
Автор: Kraft, James (gilman School, Baltimore, Maryland, Usa) Washington, Lawrence Название: Introduction to number theory with cryptography, second edition ISBN: 1138063479 ISBN-13(EAN): 9781138063471 Издательство: Taylor&Francis Рейтинг: Цена: 8712.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular andimportant topic of cryptography, integrating it with traditional topics in number theory.
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