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Fundamentals of Number Theory (Dover Books on Mathematics)By William J. LeVeque
Ebook Download Fundamentals of Number Theory (Dover Books on Mathematics)By William J. LeVeque
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This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given — making the book self-contained in this respect.
The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, p-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of e, to mention a few.
Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes — containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols — and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition.
- Sales Rank: #352296 in Books
- Published on: 1996-02-07
- Released on: 1996-02-07
- Original language: English
- Number of items: 1
- Dimensions: 8.20" h x .57" w x 5.62" l, .62 pounds
- Binding: Paperback
- 288 pages
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