Number theory revealed: an introduction, Granville, Andrew
Автор: Robin Wilson Название: Number Theory: A Very Short Introduction ISBN: 0198798091 ISBN-13(EAN): 9780198798095 Издательство: Oxford Academ Рейтинг: Цена: 10550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Number theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but today it has great practical importance in cryptography, from credit card security to national defence. This book introduces the main areas of number theory, and some of its most interesting problems.
Автор: W.A. Coppel Название: Number Theory ISBN: 1441940073 ISBN-13(EAN): 9781441940070 Издательство: Springer Рейтинг: Цена: 43740.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is a modern introduction to the theory of numbers emphasizing its connections with other branches of mathematics. It provides an understanding of the nature and extent of mathematics, and covers standard topics in number theory.
Автор: Kowalski Emmanuel Название: An Introduction to Probabilistic Number Theory ISBN: 1108840965 ISBN-13(EAN): 9781108840965 Издательство: Cambridge Academ Рейтинг: Цена: 44350.00 T 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: Chahal, J.s. Название: Algebraic number theory: a brief introduction ISBN: 0367761459 ISBN-13(EAN): 9780367761455 Издательство: Taylor&Francis Рейтинг: Цена: 54090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade through the voluminous textbooks available. It is suitable for an independent study or as a textbook for a first course on the topic.
Автор: Komaravolu Chandrasekharan Название: Introduction to Analytic Number Theory ISBN: 3642461263 ISBN-13(EAN): 9783642461262 Издательство: Springer Рейтинг: Цена: 111790.00 T 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: Alvaro Lozano-Robledo Название: Number Theory and Geometry: An Introduction to Arithmetic Geometry ISBN: 147045016X ISBN-13(EAN): 9781470450168 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 82770.00 T Наличие на складе: Нет в наличии. Описание: Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians have discovered many beautiful interactions between the two subjects and recorded them in such classical texts as Euclid's Elements and Diophantus's Arithmetica. Nowadays, the field of mathematics that studies the interactions between number theory and algebraic geometry is known as arithmetic geometry. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book. For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to find all the integral points on a line in the plane. Similarly, Gauss's law of quadratic reciprocity and the theory of continued fractions naturally arise when we attempt to determine the integral points on a curve in the plane given by a quadratic polynomial equation. After an introduction to the theory of diophantine equations, the rest of the book is structured in three acts that correspond to the study of the integral and rational solutions of linear, quadratic, and cubic curves, respectively.This book describes many applications including modern applications in cryptography; it also presents some recent results in arithmetic geometry. With many exercises, this book can be used as a text for a first course in number theory or for a subsequent course on arithmetic (or diophantine) geometry at the junior-senior level.
Автор: Kenneth Ireland; Michael Rosen Название: A Classical Introduction to Modern Number Theory ISBN: 038797329X ISBN-13(EAN): 9780387973296 Издательство: Springer Рейтинг: Цена: 66110.00 T 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: Warren P. Johnson Название: An Introduction to q-analysis ISBN: 1470456230 ISBN-13(EAN): 9781470456238 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 57690.00 T Наличие на складе: Нет в наличии. Описание: Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to $q$-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.
Right triangles are at the heart of this textbook's vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. Throughout, students are encouraged to engage with the material by posing questions, working through exercises, using technology, and learning about the broader context in which ideas developed.
Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The advanced topics that follow, such as counting lattice points and the four squares theorem, offer a variety of options for extension, or a higher-level course; the breadth and modularity of the later material is ideal for creating a senior capstone course. Numerous exercises are included throughout, many of which are designed for SageMath.
By involving students in the active process of inquiry and investigation, this textbook imbues the foundations of number theory with insights into the lively mathematical process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader's appreciation of the final chapters.
Автор: Hunacek, Mark Название: Introduction to number theory ISBN: 1032017201 ISBN-13(EAN): 9781032017204 Издательство: Taylor&Francis Рейтинг: Цена: 39800.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Introduction to Number Theory covers the essential content of an introductory number theory course including divisibility and prime factorization, congruences, and quadratic reciprocity. The instructor may also choose from a collection of additional topics.
Автор: Redmond, Don Название: Number Theory ISBN: 0824796969 ISBN-13(EAN): 9780824796969 Издательство: Taylor&Francis Рейтинг: Цена: 132710.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Hunacek, Mark Название: Introduction to Number Theory ISBN: 1032332050 ISBN-13(EAN): 9781032332055 Издательство: Taylor&Francis Рейтинг: Цена: 102080.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
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