Elementary Number Theory 2nd editon by Underwood Dudley – Ebook PDF Instant Download/Delivery: 048646931X, 9780486469317
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ISBN 10: 048646931X
ISBN 13: 9780486469317
Author: Underwood Dudley
Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text includes nearly 1,000 exercises and problems—some computational and some classical, many original, and some with complete solutions. The opening chapters offer sound explanations of the basics of elementary number theory and develop the fundamental properties of integers and congruences. Subsequent chapters present proofs of Fermat’s and Wilson’s theorems, introduce number theoretic functions, and explore the quadratic reciprocity theorem. Three independent sections follow, with examinations of the representation of numbers, diophantine equations, and primes. The text concludes with 260 additional problems, three helpful appendixes, and answers to selected exercises and problems.
Elementary Number Theory 2nd Table of contents:
Section 1 – Integers
Problems
Section 2 – Unique Factorization
Problems
Section 3 – Linear Diophantine Equations
Problems
Section 4 – Congruences
Problems
Section 5 – Linear Congruences
Problems
Section 6 – Fermat’s and Wilson’s Theorems
Problems
Section 7 – The Divisors of an Integer
Problems
Section 8 – Perfect Numbers
Problems
Section 9 – Euler’s Theorem and Function
Problems
Section 10 – Primitive Roots
Problems
Section 11 – Quadratic Congruences
Problems
Section 12 – Quadratic Reciprocity
Problems
Section 13 – Numbers in Other Bases
Problems
Section 14 – Duodecimals
Problems
Section 15 – Decimals
Problems
Section 16 – Pythagorean Triangles
Problems
Section 17 – Infinite Descent and Fermat’s Conjecture
Problems
Section 18 – Sums of Two Squares
Problems
Section 19 – Sums of Four Squares
Problems
Section 20 – x2 – Ny2 = 1
Problems
Section 21 – Bounds for π(x)
Problems
Section 22 – Formulas for Primes
Section 23 – Additional Problems
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