(Ebook) Elementary Number Theory 2nd Edition by Underwood Dudley ISBN 9780486469317 048646931X
(Ebook) Elementary Number Theory 2nd Edition by Underwood Dudley - Ebook PDF Instant Download/Delivery: 9780486469317, 048646931X
Full download (Ebook) Elementary Number Theory 2nd Edition after payment
Product details:
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.
Table of contents:
-
-
Integers
-
Unique Factorization
-
Linear Diophantine Equations
-
Congruences
-
Linear Congruences
-
Fermat's and Wilson's Theorems
-
The Divisors of an Integer
-
Perfect Numbers
-
Euler's Theorem and Function
-
Primitive Roots
-
Quadratic Congruences
-
Quadratic Reciprocity
-
Numbers in Other Bases
-
Duodecimals
-
Decimals
-
Pythagorean Triangles
-
Infinite Descent and Fermat's Conjecture
-
Sums of Two Squares
-
Sums of Four Squares
-
x2−Ny2=1x^2 - Ny^2 = 1x2−Ny2=1
-
Bounds for π(x)pi(x)π(x)
-
Formulas for Primes
-
Additional Problems
People also search for:
elementary number theory
david burton elementary number theory
rosen elementary number theory
250 problems in elementary number theory
problems in elementary number theory
Tags: Underwood Dudley, Elementary Number Theory
*Free conversion of into popular formats such as PDF, DOCX, DOC, AZW, EPUB, and MOBI after payment.
