This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual.<br><br>Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels.<br><br>* Loaded with pedagogical features including fully worked examples, graded exercises, chapter summaries, and computer exercises<br>* Covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes<br>* Biographical sketches lay out the history of mathematics, emphasizing its roots in India and the Middle East