Item Details

Discrete Mathematics [videorecording]

Benjamin, Arthur T; Teaching Company
Format
Video; DVD
Performers
Lecturer: Professor Arthur T. Benjamin, Harvey Mudd college.
Release Date
2009
Language
English
Series
Great Courses
Great Courses (DVD) Science & Mathematics
Series Statement
Great courses (DVD). Science & mathematics
Contents
  • Part 1: Lecture 1. What is discrete mathematics?
  • Lecture 2. Basic concepts of combinatorics
  • Lecture 3. The 12-fold way of combinatorics
  • Lecture 4. Pascal's triangle and the binomial theorem
  • Lecture 5. Advanced combinatorics--multichoosing
  • Lecture 6. The principle of inclusion-exclusion
  • Lecture 7. Proofs--inductive, geometric, combinatorial
  • Lecture 8. Linear recurrences and Fibonacci Numbers
  • Lecture 9. Gateway to number theory--divisibility
  • Lecture 10. The structure of numbers
  • Lecture 11. Two principles--pigeonholes and parity
  • 12. Modular arithmetic--the math of remainders.
  • Part 2: Lecture 13. Enormous exponents and card shuffling
  • Lecture 14. Fermat's "little" theorem and prime testing
  • Lecture 15. Open secrets--public key cryptography
  • Lecture 16. The birth of graph theory
  • Lecture 17. Ways to walk--matrices and Markov Chains
  • Lecture 18. Social networks and stable marriages
  • Lecture 19. Tournaments and King Chickens
  • Lecture 20. Weighted graphs and minimum spanning trees
  • Lecture 21. Planarity--when can a graph be untangles?
  • Lecture 22. Coloring graphs and maps
  • Lecture 23. Shortest paths and algorithm complexity
  • Lecture 24. The magic of discrete mathematics.
ISBN
1598035738, 9781598035735
Published
Chantilly, VA : Teaching Co., c2009.
Publisher no.
1456 Teaching Co.
Description
4 videodiscs : sd., col. ; 4 3/4 in. + 2 course guidebooks.
DVD.
Technical Details
  • Access in Virgo Classic

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