Items related to A Friendly Introduction to Number Theory
Synopsis
Description For courses inElementary Number Theory for math majors, for mathematics educationstudents, and for Computer Science students. This introductoryundergraduate text is designed to entice a wide variety of majorsinto learning some mathematics, while teaching them to thinkmathematically at the same time. Starting with nothing more thanbasic high school algebra, the reader is gradually led from basicalgebra to the point of actively performing mathematical researchwhile getting a glimpse of current mathematical frontiers. Thewriting style is informal 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 onspecific results. For Sale in Indiansubcontinent only A low-key introduction to Number Theory ? Enables students to explore an area of math different from standard calculus sequences. Five basic steps emphasized ? Experimentation, pattern recognition, hypothesis formation, hypothesis testing, and formal proof. RSA cryptosystem, elliptic curves, and Fermat's Last Theorem are featured, enabling students to see real-life applications of mathematics. Proof of Fermat's Last theorem by Andrew Wiles ? Provides overview, introducing students to one of the most significant mathematical achievements of the 20th century. What Is Number Theory? Pythagorean Triples Pythagorean Triples and the Unit Circle Sums of Higher Powers and Fermat's Last Theorem Divisibility and the Greatest Common Divisor Linear Equations and the Greatest Common Divisor Factorization and the Fundamental Theorem of Arithmetic Congruences Congruences, Powers, and Fermat's Little Theorem Congruences, Powers, and Euler's Formula Euler's Phi Function and the Chinese Remainder Theorem Prime Numbers Counting Primes Mersenne Primes Mersenne Primes and Perfect Numbers8 Powers Modulo m and Successive Squaring Computing kth Roots Modulo m Powers, Roots, and "Unbreakable" Codes Primality Testing and C
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