Number Theory

Download E-books Fundamentals of Number Theory (Dover Books on Mathematics) PDF

This very good textbook introduces the fundamentals of quantity concept, incorporating the language of summary algebra. an information of such algebraic options as staff, ring, box, and area isn't assumed, besides the fact that; all phrases are outlined and examples are given — making the publication self-contained during this respect.
The writer starts off with an introductory bankruptcy on quantity conception and its early heritage. next chapters care for detailed factorization and the GCD, quadratic residues, number-theoretic features and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and extra. incorporated are discussions of themes now not constantly present in introductory texts: factorization and primality of huge integers, p-adic numbers, algebraic quantity fields, Brun's theorem on dual primes, and the transcendence of e, to say a few.
Readers will discover a tremendous variety of well-chosen difficulties, in addition to many notes and bibliographical references chosen for clarity and relevance. 5 beneficial appendixes — containing such research aids as an element desk, computer-plotted graphs, a desk of indices, the Greek alphabet, and a listing of symbols — and a bibliography around out this well-written textual content, that is directed towards undergraduate majors and starting graduate scholars in arithmetic. No post-calculus prerequisite is believed. 1977 edition.

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