The magic of numbers
著者
書誌事項
The magic of numbers
Pearson Education, c2004
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注記
"Pearson Prentice Hall"
Includes index
内容説明・目次
内容説明
For courses in Liberal Arts Mathematics and Quantitative Literacy.
A math book for "non-math" people, this text provides the reader with a mathematical view of the world. Based on the popular Quantitative Reasoning Course at Harvard University, it introduces the reader to the "beauty of numbers", including the patterns in their behavior as well as their application. This text teaches the reader about the mathematical thought-mode: the feeling of exploration, as well as the fascination and joy that can come from learning mathematics. This book is designed for math classes for non-math majors. It can also be used for an introductory course for math majors.
目次
I. COUNTING.
1. Simple Counting.
2. The Multiplication Principle.
3. The Subtraction Principle.
4. Collections.
5. Probability.
6. The Binomial Theorem.
7. Advanced Counting.
II. ARITHMETIC.
8. Divisibility.
9. Combinations.
10. Primes.
11. Factorization.
12. Consequences.
13. Relatively Prime.
III. MODULAR ARITMETIC.
14. What is a Number?
15. Modular Arithmetic.
16. Congruences.
17. Division.
18. Powers.
19. Roots.
20. Euler's Theorem.
IV. CODES AND PRIMES.
21. Codes.
22. Public-Key Cryptography.
23. Finding Primes.
24. Generators, Roots, and Passwords.
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