Автор: Cai Tianxin Название: Modern Introduction To Classical Number Theory, A ISBN: 9811218293 ISBN-13(EAN): 9789811218293 Издательство: World Scientific Publishing Рейтинг: Цена: 132000.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Pollack Paul, Singha Roy Akash Название: Steps into Analytic Number Theory: A Problem-Based Introduction ISBN: 3030650790 ISBN-13(EAN): 9783030650797 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies.
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 Рейтинг: Цена: 36960.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: 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: 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: Duverney Daniel Название: Number Theory: An Elementary Introduction Through Diophantine Problems ISBN: 9814307459 ISBN-13(EAN): 9789814307451 Издательство: World Scientific Publishing Рейтинг: Цена: 68640.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: 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: 58080.00 T 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.
Автор: Apostol Tom M Название: Introduction to Analytic Number Theory ISBN: 1441928057 ISBN-13(EAN): 9781441928054 Издательство: Springer Рейтинг: Цена: 49330.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Yu. I. Manin; Alexei A. Panchishkin Название: Introduction to Modern Number Theory ISBN: 3642057977 ISBN-13(EAN): 9783642057977 Издательство: Springer Рейтинг: Цена: 130430.00 T 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: Hill Richard Michael Название: Introduction to Number Theory ISBN: 1786344718 ISBN-13(EAN): 9781786344717 Издательство: World Scientific Publishing Цена: 100320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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 Рейтинг: 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.
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