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Pythagorean introduction to number theory, Takloo-bighash, Ramin


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Автор: Takloo-bighash, Ramin
Название:  Pythagorean introduction to number theory
ISBN: 9783030026035
Издательство: Springer
Классификация:

ISBN-10: 3030026035
Обложка/Формат: Hardcover
Страницы: 279
Вес: 0.74 кг.
Дата издания: 10.12.2018
Серия: Undergraduate texts in mathematics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 9 tables, color; 9 illustrations, color; 17 illustrations, black and white; xviii, 279 p. 26 illus., 9 illus. in color.
Размер: 163 x 241 x 20
Читательская аудитория: Professional & vocational
Подзаголовок: Right triangles, sums of squares, and arithmetic
Ссылка на Издательство: Link
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Поставляется из: Германии
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.
Дополнительное описание: Part I Foundational Material.- 1. Introduction.- 2. Basic number theory.- 3. Integral solutions to the Pythagorean Equation.- 4. What integers are areas of right triangles?.- 5. What numbers are the edges of a right triangle?.- 6. Primes of the form 4k+1.


Introduction to number theory with cryptography, second edition

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
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.

An Introduction to Polynomial and Semi-Algebraic Optimization

Автор: Lasserre
Название: An Introduction to Polynomial and Semi-Algebraic Optimization
ISBN: 1107060575 ISBN-13(EAN): 9781107060579
Издательство: Cambridge Academ
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Цена: 141510.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.

A Pythagorean Introduction to Number Theory: Right Triangles, Sums of Squares, and Arithmetic

Автор: Takloo-Bighash Ramin
Название: A Pythagorean Introduction to Number Theory: Right Triangles, Sums of Squares, and Arithmetic
ISBN: 3030805298 ISBN-13(EAN): 9783030805296
Издательство: Springer
Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.


Introduction to number theory

Автор: Hill, Richard Michael (univ College London, Uk)
Название: Introduction to number theory
ISBN: 1786344890 ISBN-13(EAN): 9781786344892
Издательство: World Scientific Publishing
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Цена: 53850.00 T
Наличие на складе: Невозможна поставка.
Описание: Textbook, with answers to some exercises.

Steps into Analytic Number Theory: A Problem-Based Introduction

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.

Modular Forms: A Classical and Computational Introduction: 2nd Edition

Автор: Kilford Lloyd J. P.
Название: Modular Forms: A Classical and Computational Introduction: 2nd Edition
ISBN: 1783265450 ISBN-13(EAN): 9781783265459
Издательство: World Scientific Publishing
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Цена: 68640.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators.

Introduction to 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
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Textbook, with answers to some exercises.

Steps Into Analytic Number Theory: A Problem-Based Introduction

Автор: Pollack Paul, Singha Roy Akash
Название: Steps Into Analytic Number Theory: A Problem-Based Introduction
ISBN: 3030650766 ISBN-13(EAN): 9783030650766
Издательство: Springer
Рейтинг:
Цена: 46570.00 T
Наличие на складе: 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.

Problem Based Journey From Elementary Number Theory To An Introduction To Matrix Theory, A: The President Problems

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
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.

Introduction To Non-Abelian Class Field Theory, An: Automorphic Forms Of Weight 1 And 2-Dimensional Galois Representations

Автор: Hiramatsu Toyokazu Et Al
Название: Introduction To Non-Abelian Class Field Theory, An: Automorphic Forms Of Weight 1 And 2-Dimensional Galois Representations
ISBN: 981314226X ISBN-13(EAN): 9789813142268
Издательство: World Scientific Publishing
Цена: 85530.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations.

Introduction to Modern Number Theory

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
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.

An Introduction to Numerical Methods for the Physical Sciences

Автор: Colm T. Whelan
Название: An Introduction to Numerical Methods for the Physical Sciences
ISBN: 1681738740 ISBN-13(EAN): 9781681738741
Издательство: Mare Nostrum (Eurospan)
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Цена: 75770.00 T
Наличие на складе: Нет в наличии.
Описание: There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions.

There are, however, a vast range of problems which are amenable to a computational approach. This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics.


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