A Guide to Elementary Number Theory PDF Download

Author: Underwood Dudley
Publisher: MAA
ISBN: 9780883853474
Category : Mathematics
Languages : en
Pages : 156

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

Author: Underwood Dudley
Publisher: Courier Corporation
ISBN: 0486134873
Category : Mathematics
Languages : en
Pages : 274

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Book Description
Written in a lively, engaging style by the author of popular mathematics books, this volume features nearly 1,000 imaginative exercises and problems. Some solutions included. 1978 edition.

Author: Thomas Koshy
Publisher: Academic Press
ISBN: 9780124211711
Category : Mathematics
Languages : en
Pages : 748

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Book Description
Elementary Number Theory focuses on number theory's role in the rapid development of art, coding theory, cryptology, computer science, and other necessities of modern life - confirming that human ingenuity and creativity are boundless.

Author: Richard Friedberg
Publisher: Courier Corporation
ISBN: 0486152693
Category : Mathematics
Languages : en
Pages : 241

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Book Description
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.

Author: Gareth A. Jones
Publisher: Springer Science & Business Media
ISBN: 144710613X
Category : Mathematics
Languages : en
Pages : 305

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Book Description
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.

Author: Underwood Dudley
Publisher: W H Freeman & Company
ISBN: 9780716700760
Category : Mathematics
Languages : en
Pages : 249

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Book Description
"With almost a thousand imaginative exercises and problems, this book stimulates curiosity about numbers and their properties."

Author: Charles Vanden Eynden
Publisher: Waveland Press
ISBN: 1478639156
Category :
Languages : en
Pages : 278

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Book Description
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.

Author: Oystein Ore
Publisher: Courier Corporation
ISBN: 0486136434
Category : Mathematics
Languages : en
Pages : 400

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

Author: Edward Wall
Publisher: McGraw-Hill Humanities/Social Sciences/Languages
ISBN: 9780073378473
Category : Education
Languages : en
Pages : 0

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Book Description
In response to concerns about teacher retention, especially among teachers in their first to fourth year in the classroom, we offer future teachers a series of brief guides full of practical advice that they can refer to in both their student teaching and in their first years on the job. Number Theory for Elementary School Teachers is designed for preservice candidates in early and/or elementary education. The text complements traditional Math Methods courses and provides deep content knowledge for prospective and first year teachers.

Author: William Stein
Publisher: Springer Science & Business Media
ISBN: 0387855254
Category : Mathematics
Languages : en
Pages : 173

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Book Description
This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. D. ) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another thousand years later (in 1976), Di?e and Hellman introduced the ?rst ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predetermined secret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles’ resolution of Fermat’s Last Theorem.