Introduction to number theory, Hunacek, Mark

Автор: Abraham Berman
Название: Problem Based Journey From Elementary Number Theory To An Introduction To Matrix Theory, A: The President Problems
ISBN: 9811234876 ISBN-13(EAN): 9789811234873
Издательство: World Scientific Publishing
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Цена: 36960.00 T
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Описание: The book is based on lecture notes of a course 'from elementary number theory to an introduction to matrix theory' given at the Technion to gifted high school students. It is problem based, and covers topics in undergraduate mathematics that can be introduced in high school through solving challenging problems. These topics include Number theory, Set Theory, Group Theory, Matrix Theory, and applications to cryptography and search engines.

Автор: Saha, Abhijit Dutta, Debjit Kar, Samarjit
Название: An introduction to basic number theory
ISBN: 9390544475 ISBN-13(EAN): 9789390544479
Издательство: Mare Nostrum (Eurospan)
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Цена: 15710.00 T
Наличие на складе: Нет в наличии.
Описание: A text book intended for the undergraduate courses in mathematics. All the essential topics in number theory are covered. The example driven approach helps readers to understand and apply the concepts of number theory through clear and precise explanations and thoughtfully chosen solved problems.

Автор: Chahal, J.s.
Название: Algebraic number theory: a brief introduction
ISBN: 0367761459 ISBN-13(EAN): 9780367761455
Издательство: Taylor&Francis
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Цена: 54090.00 T
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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: Yu. I. Manin; Alexei A. Panchishkin
Название: Introduction to Modern Number Theory
ISBN: 3642057977 ISBN-13(EAN): 9783642057977
Издательство: Springer
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Цена: 130430.00 T
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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: W.A. Coppel
Название: Number Theory
ISBN: 1441940073 ISBN-13(EAN): 9781441940070
Издательство: Springer
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Цена: 43740.00 T
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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: Komaravolu Chandrasekharan
Название: Introduction to Analytic Number Theory
ISBN: 3642461263 ISBN-13(EAN): 9783642461262
Издательство: Springer
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Цена: 111790.00 T
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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: 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
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Цена: 58080.00 T
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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.

Автор: Hill Richard Michael
Название: Introduction to Number Theory
ISBN: 1786344718 ISBN-13(EAN): 9781786344717
Издательство: World Scientific Publishing
Цена: 100320.00 T
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Описание: Textbook, with answers to some exercises.

Автор: Takloo-bighash, Ramin
Название: Pythagorean introduction to number theory
ISBN: 3030026035 ISBN-13(EAN): 9783030026035
Издательство: Springer
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Цена: 46570.00 T
Наличие на складе: Невозможна поставка.
Описание: 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: Robin Wilson
Название: Number Theory: A Very Short Introduction
ISBN: 0198798091 ISBN-13(EAN): 9780198798095
Издательство: Oxford Academ
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Цена: 10550.00 T
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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: Cai Tianxin
Название: Modern Introduction To Classical Number Theory, A
ISBN: 9811218293 ISBN-13(EAN): 9789811218293
Издательство: World Scientific Publishing
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Цена: 132000.00 T
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Описание:

Natural numbers are the oldest human invention. This book describes their nature, laws, history and current status. It has seven chapters. The first five chapters contain not only the basics of elementary number theory for the convenience of teaching and continuity of reading, but also many latest research results. The first time in history, the traditional name of the Chinese Remainder Theorem is replaced with the Qin Jiushao Theorem in the book to give him a full credit for his establishment of this famous theorem in number theory. Chapter 6 is about the fascinating congruence modulo an integer power, and Chapter 7 introduces a new problem extracted by the author from the classical problems of number theory, which is out of the combination of additive number theory and multiplicative number theory.

One feature of the book is the supplementary material after each section, there by broadening the reader's knowledge and imagination. These contents either discuss the rudiments of some aspects or introduce new problems or conjectures and their extensions, such as perfect number problem, Egyptian fraction problem, Goldbach's conjecture, the twin prime conjecture, the 3x + 1 problem, Hilbert Waring problem, Euler's conjecture, Fermat's Last Theorem, Laudau's problem and etc.

This book is written for anyone who loves natural numbers, and it can also be read by mathematics majors, graduate students, and researchers. The book contains many illustrations and tables. Readers can appreciate the author's sensitivity of history, broad range of knowledge, and elegant writing style, while benefiting from the classical works and great achievements of masters in number theory.

Автор: Alvaro Lozano-Robledo
Название: Number Theory and Geometry: An Introduction to Arithmetic Geometry
ISBN: 147045016X ISBN-13(EAN): 9781470450168
Издательство: Mare Nostrum (Eurospan)
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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.