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Elementary Number Theory

Elementary Number Theory
Author: Joe Roberts
Publisher: MIT Press (MA)
Total Pages: 986
Release: 1925
Genre: Mathematics
ISBN:

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An Adventurer's Guide to Number Theory

An Adventurer's Guide to Number Theory
Author: Richard Friedberg
Publisher: Courier Corporation
Total Pages: 241
Release: 2012-07-06
Genre: Mathematics
ISBN: 0486152693

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This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.


A Guide to Elementary Number Theory

A Guide to Elementary Number Theory
Author: Underwood Dudley
Publisher: MAA
Total Pages: 156
Release: 2009
Genre: Mathematics
ISBN: 9780883853474

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An introductory guide to elementary number theory for advanced undergraduates and graduates.


Elementary Number Theory with Applications

Elementary Number Theory with Applications
Author: Thomas Koshy
Publisher: Elsevier
Total Pages: 801
Release: 2007-05-08
Genre: Mathematics
ISBN: 0080547095

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This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual. Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels. * Loaded with pedagogical features including fully worked examples, graded exercises, chapter summaries, and computer exercises * Covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes * Biographical sketches lay out the history of mathematics, emphasizing its roots in India and the Middle East


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.


Elementary Number Theory

Elementary Number Theory
Author: James S. Kraft
Publisher: CRC Press
Total Pages: 412
Release: 2014-11-24
Genre: Mathematics
ISBN: 1498702686

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Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. The first chapter of the book explains how to do proofs and includes a brief discussion of lemmas, propositions, theorems, and corollaries. The core of the text covers linear Diophantine equations; unique factorization; congruences; Fermat’s, Euler’s, and Wilson’s theorems; order and primitive roots; and quadratic reciprocity. The authors also discuss numerous cryptographic topics, such as RSA and discrete logarithms, along with recent developments. The book offers many pedagogical features. The "check your understanding" problems scattered throughout the chapters assess whether students have learned essential information. At the end of every chapter, exercises reinforce an understanding of the material. Other exercises introduce new and interesting ideas while computer exercises reflect the kinds of explorations that number theorists often carry out in their research.


A Guide to Elementary Number Theory

A Guide to Elementary Number Theory
Author: Underwood Dudley
Publisher: American Mathematical Soc.
Total Pages: 141
Release: 2009-12-31
Genre: Mathematics
ISBN: 0883859181

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An introductory guide to elementary number theory for advanced undergraduates and graduates.


Elementary Number Theory

Elementary Number Theory
Author: Charles Vanden Eynden
Publisher: Waveland Press
Total Pages: 278
Release: 2006-02-15
Genre:
ISBN: 1478639156

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This practical and versatile text evolved from the author’s years of teaching experience and the input of his students. Vanden Eynden strives to alleviate the anxiety that many students experience when approaching any proof-oriented area of mathematics, including number theory. His informal yet straightforward writing style explains the ideas behind the process of proof construction, showing that mathematicians develop theorems and proofs from trial and error and evolutionary improvement, not spontaneous insight. Furthermore, the book includes more computational problems than most other number theory texts to build students’ familiarity and confidence with the theory behind the material. The author has devised the content, organization, and writing style so that information is accessible, students can gain self-confidence with respect to mathematics, and the book can be used in a wide range of courses—from those that emphasize history and type A problems to those that are proof oriented.


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.