Friendly Introduction to Number Theory, a (Classic Version)

Friendly Introduction to Number Theory, a (Classic Version)
Author: Joseph Silverman
Publisher:
Total Pages: 0
Release: 2017-02-13
Genre: Number theory
ISBN: 9780134689463

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For one-semester undergraduate courses in Elementary Number Theory This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. A Friendly Introduction to Number Theory, 4th Edition is designed to introduce students to the overall themes and methodology of mathematics through the detailed study of one particular facet-number theory. Starting with nothing more than basic high school algebra, students are gradually led to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers. The writing is appropriate for the undergraduate audience and includes many numerical examples, which are analyzed for patterns and used to make conjectures. Emphasis is on the methods used for proving theorems rather than on specific results.

A Friendly Introduction to Number Theory

A Friendly Introduction to Number Theory
Author: Joseph H. Silverman
Publisher: Pearson
Total Pages: 472
Release: 2013-11-01
Genre:
ISBN: 9781292027098

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For one-semester undergraduate courses in Elementary Number Theory. A Friendly Introduction to Number Theory, Fourth Edition is designed to introduce students to the overall themes and methodology of mathematics through the detailed study of one particular facet-number theory. Starting with nothing more than basic high school algebra, students are gradually led to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers. The writing is appropriate for the undergraduate audience and includes many numerical examples, which are analyzed for patterns and used to make conjectures. Emphasis is on the methods used for proving theorems rather than on specific results.

Number Theory and Its History

Number Theory and Its History
Author: Oystein Ore
Publisher: Courier Corporation
Total Pages: 404
Release: 2012-07-06
Genre: Mathematics
ISBN: 0486136434

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Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

A Classical Introduction to Modern Number Theory

A Classical Introduction to Modern Number Theory
Author: Kenneth Ireland
Publisher: Springer Science & Business Media
Total Pages: 406
Release: 2013-04-17
Genre: Mathematics
ISBN: 147572103X

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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.

Introduction to Number Theory

Introduction to Number Theory
Author: Anthony Vazzana
Publisher: CRC Press
Total Pages: 530
Release: 2007-10-30
Genre: Computers
ISBN: 1584889381

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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

Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications
Author: Kenneth H. Rosen
Publisher:
Total Pages: 109
Release: 2007
Genre: Computer science
ISBN: 9780071244749

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The companion Web site -- To the student -- The foundations : logic, sets, and functions -- The fundamentals : algorithms, the integers, and matrices -- Mathematical reasoning -- Counting -- Advanced counting techniques -- Relations -- Graphs -- Trees -- Boolean algebra -- Modeling computation

Elementary Number Theory

Elementary Number Theory
Author: Gareth A. Jones
Publisher: Springer Science & Business Media
Total Pages: 305
Release: 2012-12-06
Genre: Mathematics
ISBN: 144710613X

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An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

Number Theory

Number Theory
Author: George E. Andrews
Publisher: Courier Corporation
Total Pages: 292
Release: 2012-04-30
Genre: Mathematics
ISBN: 0486135101

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Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.

Introduction to Number Theory

Introduction to Number Theory
Author: Anthony Vazzana
Publisher: CRC Press
Total Pages: 537
Release: 2007-10-30
Genre: Mathematics
ISBN: 1584889373

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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 topics. This classroom-tested, student-friendly text covers a wide range of subjects, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments that include cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments. The book interweaves the theoretical development of the material with Mathematica® and MapleTM calculations while giving brief tutorials on the software in the appendices. Highlighting both fundamental and advanced topics, this introduction provides all of the tools to achieve a solid foundation in number theory.