Elementary Number Theory in Nine Chapters
Cambridge University Press, 30.06.2005 - 430 Seiten
This textbook is intended to serve as a one-semester introductory course in number theory and in this second edition it has been revised throughout and many new exercises have been added. 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. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
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arithmetic Arithmetica canonical representation ciphertext composite congruences conjecture consecutive continued fraction contradiction convergents coprime cubes Decipher denote the number Determine digital root divides divisible element enciphered equal established Euler example Exercises exist integers expressed Fermat Fermat's Little Theorem Ferrers diagram Fibonacci Fibonacci numbers Find finite form 4k formula Gauss gcd(a given greatest common divisor Hence implying induction infinite number integral squares least positive letter mathematical mathematical induction mathematician Mersenne Mersenne prime method modulo multiplicative natural numbers number of distinct number of partitions number theoretic function number theory obtain odd number odd prime plaintext polynomial positive integer prime factors prime numbers primitive Pythagorean triple primitive root Proof Prove Pythagorean triple quadratic residue rational number reduced residue system residue system modulo result follows Show smallest solve square number superincreasing sequence Suppose Table term Theorem triangle triangular number values