Long C. Elementary Introduction to Number Theory 3ed 1987 torrent

Textbook in PDF format

This accessible, highly regarded volume teaches the theory of numbers. It incorporates especially complete and detailed arguments, illustrating definitions, theorems, and subtleties of proof with explicit numerical examples whenever possible. The author has organized the results and constructed the arguments in such a way as to reveal the essential structure of the subject and to impart an understanding of the various methods of proof as methods rather than tricks. Hundreds of exercises, including computer-oriented problems, are included.
In writing this third edition the attempt has been made to maintain the text’s appeal for mathematics and mathematics education majors and also to make it attractive and useful for computer science majors. Beyond the addition of computer-oriented problems, arguments have been altered to stress computational aspects when possible and entire new sections have been added. These include a brief discussion of computational complexity, some comments on current aspects of primality testing and factoring, and a short chapter on public key encryption.
This is an excellent book. The selection of topics is interesting, and the proofs illustrate proof technique well.
Best Sellers Rank: #81 in Finite Mathematics
#455 in Number Theory
PRELIMINARY CONSIDERATIONS
DIVISIBILITY PROPERTIES OF INTEGERS
PRIME NUMBERS
CONGRUENCES
CONDITIONAL CONGRUENCES
CRYPTOGRAPHY
SUMS OF SQUARES
MULTIPLICATIVE NUMBER-THEORETIC FUNCTIONS
SIMPLE CONTINUED FRACTIONS