Elementary Number Theory
Author: Joe Roberts
Publisher: MIT Press (MA)
Published: 1925
Total Pages: 986
ISBN-13:
DOWNLOAD EBOOK →Author: Joe Roberts
Publisher: MIT Press (MA)
Published: 1925
Total Pages: 986
ISBN-13:
DOWNLOAD EBOOK →Author: Colin Conrad Adams
Publisher: American Mathematical Soc.
Published: 2004
Total Pages: 330
ISBN-13: 0821836781
DOWNLOAD EBOOK →Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Author: Herman Chernoff
Publisher: Courier Corporation
Published: 1986-01-01
Total Pages: 386
ISBN-13: 9780486652184
DOWNLOAD EBOOK →This well-respected introduction to statistics and statistical theory covers data processing, probability and random variables, utility and descriptive statistics, computation of Bayes strategies, models, testing hypotheses, and much more. 1959 edition.
Author: W. Sierpinski
Publisher: Elsevier
Published: 1988-02-01
Total Pages: 513
ISBN-13: 0080960197
DOWNLOAD EBOOK →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: William Stein
Publisher: Springer Science & Business Media
Published: 2008-10-28
Total Pages: 173
ISBN-13: 0387855254
DOWNLOAD EBOOK →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: Calvin T. Long
Publisher: D.C. Heath
Published: 1972
Total Pages: 264
ISBN-13:
DOWNLOAD EBOOK →Author: Ethan D. Bolker
Publisher: Courier Corporation
Published: 2012-06-14
Total Pages: 208
ISBN-13: 0486153096
DOWNLOAD EBOOK →This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and more.
Author: Henri Cartan
Publisher: Courier Corporation
Published: 2013-04-22
Total Pages: 242
ISBN-13: 0486318672
DOWNLOAD EBOOK →Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Author: Thomas Koshy
Publisher: Elsevier
Published: 2007-05-08
Total Pages: 801
ISBN-13: 0080547095
DOWNLOAD EBOOK →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