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 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....
|Title||:||Fundamentals of Number Theory: Natural Magic (Dover Books on Mathematics)|
|Publisher||:||DOVER PUBN INC Auflage Dover 7 Februar 1996|
|Number of Pages||:||288 Seiten|
|File Size||:||979 KB|
|Status||:||Available For Download|
|Last checked||:||21 Minutes ago!|
Fundamentals of Number Theory: Natural Magic (Dover Books on Mathematics) Reviews
No concept is beyond the reach of an intelligent mind, so long as that concept is brilliantly explained. If there were a race for explanatory brilliance, this book would fall somewhere short of the starting line. For example, an appendix lists 58 mathematical symbols, (most of which you won't encounter in high school). These symbols are blithely used throughout the text, yet none is adequately explained. If you don't have calculus, statistics, trigonometry and a few other disciplines already firmly under your belt, forget this text. Of interest to all readers may be the occasional insets giving concise biographies of important mathematicians.
Although by no means an easy read, this book is very detailed and informative. Math phobic people need not apply, however, because it gets very technical after the first chapter. I absolutely loved this book and would recommend it to anyone (probably not for pre-college people) who enjoys a challenging read.
wish the proofs were more concise and there was some background context for the motivation of the proofs
Fantastic book that has changed the way I look at numbers and symbols. It has left me with an impression that impresses others.
For a class, but after I buy it, I drop the class.
It was not what I expected.