250 Problems in Elementary Number Theory PDF Download

Author: Wacław Sierpiński
Publisher: Elsevier Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 142

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Book Description

Author: Armel Mercier
Publisher: American Mathematical Soc.
ISBN: 9780821886182
Category : Mathematics
Languages : en
Pages : 358

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Book Description

Author: Wacław Sierpiński
Publisher:
ISBN: 9780044400714
Category : Nombres, Théorie des - Problèmes et exercices
Languages : en
Pages : 125

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Book Description

Author: Hong-Bing Yu
Publisher: World Scientific
ISBN: 9814271144
Category : Mathematics
Languages : en
Pages : 115

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Book Description
Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book, the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.

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.

Author: Joe Roberts
Publisher: American Mathematical Soc.
ISBN: 1470457296
Category : Mathematics
Languages : en
Pages : 310

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Author: W. Sierpinski
Publisher: Elsevier
ISBN: 0080960197
Category : Mathematics
Languages : en
Pages : 527

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Book Description
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.

Author: James J. Tattersall
Publisher: Cambridge University Press
ISBN: 9780521585316
Category : Mathematics
Languages : en
Pages : 420

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Book Description
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.

Author: Richard Guy
Publisher: Springer Science & Business Media
ISBN: 1489935851
Category : Mathematics
Languages : en
Pages : 303

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Book Description
Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.

Author: Kenneth H. Rosen
Publisher:
ISBN: 9780071244749
Category : Computer science
Languages : en
Pages : 109

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Book Description
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