Elementary number theory with applications
著者
書誌事項
Elementary number theory with applications
Academic Press, c2007
2nd ed
大学図書館所蔵 件 / 全14件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Errata slip inserted
Includes bibliographical references and index
http://www.loc.gov/catdir/toc/ecip0712/2007010165.html
内容説明・目次
内容説明
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.
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.
目次
- Fundamentals
- Divisibility Theory
- Canonical Decompositions
- Linear Diophantine Equations and Congruences
- Congruence Applications
- Systems of Linear Congruences
- Three Classical Milestones
- Multiplicative Functions
- Cryptology
- Primitive Roots and Indices
- Quadratic Congruences
- Nonlinear Diophantine Equations
- Appendix A.1 Proof Methods
- Appendix A.2 Web Sites
- Tables: Factor Table
- Values of Some Arithmetic Functions
- Least Primitive Roots Modulo Primes
- Indices
- References
- Solutions to Odd-Numbered Exercises
「Nielsen BookData」 より