Prove it : the art of Mathematical Argument
DVD - 2012 DVD 510 Ed Oversize None on shelf No requests on this item
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Disc 1. What are proofs, and how do I do them? -- The root of proof-a brief look at geometry -- The building blocks-introduction to logic -- More blocks-negations and implications -- Existence and uniqueness-quantifiers -- The simplest road-direct proofs -- Disc 2. Let's go backward-proofs by contradiction -- Let's go both ways-if-and-only-if proofs -- The language of mathematics-set theory -- Bigger and bigger sets-infinite sets -- Mathematical induction -- Deeper and deeper-more induction -- Disc 3. Strong induction and the Fibonacci numbers -- I exist therefore I am-existence proofs -- I am one of a kind-uniqueness proofs -- Let me count the ways-enumeration proofs -- Not true! counterexamples and paradoxes -- When 1=2-false proofs -- Disc 4. A picture says it all-visual proofs -- The queen of mathematics-number theory -- PRimal studies-more number theory and square numbers -- Perfect numbers and mersenne primes -- Let's wrap it up-the number e.
Lecturer: Bruce H Edward, University of Florida.
DVD.
COMMUNITY REVIEWS
sa submitted by kscapellie on July 13, 2020, 6:03pm good information,
SERIES
Great courses. Science & mathematics. Mathematics.
PUBLISHED
Chantilly, VA : Teaching Co., c2012.
Year Published: 2012
Description: 4 videodiscs (12 hrs.) : sd., col. ; 4 3/4 in. + 1 course guidebook (vi, 157 p. : ill. ; 19 cm.)
Language: English
Format: DVD
ISBN/STANDARD NUMBER
9781598038873
1598038877
ADDITIONAL CREDITS
Edwards, Bruce H.
Teaching Company.
SUBJECTS
Mathematics.
Instructional films.
Filmed lectures.
Nonfiction films.