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Introduction to Number Theory

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Author :
Release : 2008
Genre : Number theory
Kind : eBook
Book Rating : 123/5 ( reviews)

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Book Synopsis Introduction to Number Theory by : Mathew Crawford

Download or read book Introduction to Number Theory written by Mathew Crawford. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: "Learn the fundamentals of number theory from former MATHCOUNTS, AHSME, and AIME perfect scorer Mathew Crawford. Topics covered in the book include primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and much more. The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help before proceeding. The text then includes motivated solutions to these problems, through which concepts and curriculum of number theory are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains hundreds of problems ... This book is ideal for students who have mastered basic algebra, such as solving linear equations. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of number theory will find this book an instrumental part of their mathematics libraries."--Publisher's website

Introduction To Number Theory

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Author :
Release : 2017-12-04
Genre : Mathematics
Kind : eBook
Book Rating : 734/5 ( reviews)

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Book Synopsis Introduction To Number Theory by : Richard Michael Hill

Download or read book Introduction To Number Theory written by Richard Michael Hill. This book was released on 2017-12-04. Available in PDF, EPUB and Kindle. Book excerpt: 'Probably its most significant distinguishing feature is that this book is more algebraically oriented than most undergraduate number theory texts.'MAA ReviewsIntroduction to Number Theory is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. When undertaking a first course in number theory, students enjoy actively engaging with the properties and relationships of numbers.The book begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel's Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell's equation via continued fractions.Throughout the five chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations. This textbook is a valuable resource for undergraduates or those with a background in university level mathematics.

Introduction to Number Theory

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Author :
Release : 2007-10-30
Genre : Computers
Kind : eBook
Book Rating : 381/5 ( reviews)

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Book Synopsis Introduction to Number Theory by : Anthony Vazzana

Download or read book Introduction to Number Theory written by Anthony Vazzana. This book was released on 2007-10-30. Available in PDF, EPUB and Kindle. Book excerpt: One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topi

A Classical Introduction to Modern Number Theory

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Author :
Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 03X/5 ( reviews)

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Book Synopsis A Classical Introduction to Modern Number Theory by : Kenneth Ireland

Download or read book A Classical Introduction to Modern Number Theory written by Kenneth Ireland. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.

Number Theory and Its History

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Release : 2012-07-06
Genre : Mathematics
Kind : eBook
Book Rating : 434/5 ( reviews)

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Book Synopsis Number Theory and Its History by : Oystein Ore

Download or read book Number Theory and Its History written by Oystein Ore. This book was released on 2012-07-06. Available in PDF, EPUB and Kindle. Book excerpt: Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

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