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The joy of thinking [videorecording (DVD)] : the beauty and power of classical mathematical ideas / Edward B. Burger and Michael Starbird.

by Burger, Edward B., 1963-

Teaching Company, 2003.

Fermat's last theorem.

Fibonacci numbers.

Golden section.

Pythagorean theorem.

Fourth dimension.

Möbius function.

Coincidence theory (Mathematics)

Great courses (DVD). Science & mathematics. Mathematics.

Great courses (DVD).

Alternate title:

Great Courses. The joy of thinking [videorecording (DVD)] : the beauty and power of classical mathematical ideas

[videorecording (DVD)] :

4 videodiscs (720 min.) : Dolby digital sd., col. ; 12 cm. + 1 course guidebook (viii, 129 pages ; 19 cm.)

Course guidebook includes professor biographies, statement of course scope, lecture outlines and notes, timeline, glossary, biographical notes, and bibliography.

"24 lectures / 30 minutes per lecture"--Container.

Course no. 1423.

Part 1. Disc 1. Great ideas that bring our world into focus -- How many? Counting surprises -- Fermat's last theorem and the allure of number -- Pining for nature's numbers -- Sizing up the Fibonacci numbers The sexiest rectangle -- Disc 2. Hidden beauty of the golden rectangle -- Pythagorean theorem and geography of ellipses -- Not-so-Platonic relationships in Platonic solids -- Hunting for a sixth Platonic solid -- Is there a fourth dimension? Can we see it? -- The invisible art of the fourth dimension.

Part 2. Disc 3. A twisted idea: The Möbius band -- A one-sided, sealed surface: The Klein bottle -- Ordinary origami: Creating beautiful patterns -- Unfolding paper to reveal a fiery fractal -- Fractals: Infinitely complex creations -- Fractal frauds of nature -- Disc 4 . Chance surprises: Measuring uncertainty -- Door number two or door number three? -- Great expectations: Weighing the uncertain future -- Random thoughts: Randomness in our world -- How surprising are surprising coincidences? -- Life lessons learned from mathematical thinking.

The Teaching Company ; producer, Tamara Stonebarger ; academic content supervisor, Ann Waigand; director, Tom Dunton ; camera, Jon Leven, Damion Smith, Tom Dooley.

Taught by Dr. Edward B. Burger, Professor of Mathematics and Chair of the Department of Mathematics and Statistics, Williams College and Michael Starbird, Professor of Mathematics and Distinguished Teaching Professor, The University of Texas at Austin.

The world of mathematics contains some of the greatest ideas of humankind--ideas comparable to the works of Shakespeare, Plato, and Michelangelo. These mathematical ideas can add texture, beauty, and wonder to your life, without being a mathematician! This course explores the fourth dimension, coincidences, fractals, aesthetics, the allure of number, geometry, and how great mathematical ideas arise, along with learning to think abstractly, to grasp insightful strategies for approaching, enjoying, and understanding the world--not what is traditionally thought of as mathematics.

Filmed lectures.

Educational films.

Starbird, Michael P.

Teaching Company.

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