Bibliograph

The joy of thinking, the beauty and power of classical mathematical ideas, the Teaching Company

Type

Label

The joy of thinking, the beauty and power of classical mathematical ideas, the Teaching Company

Language

eng

Characteristic

videorecording

Main title

The joy of thinking

Oclc number

54070484

Responsibility statement

the Teaching Company

Runtime

720

Series statement

Great courses, Science & mathematics

Sub title

the beauty and power of classical mathematical ideas

Summary

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

Table Of Contents

Disc 1: Part 1. Lecture 1. Great ideas that bring our world into focus ; Lecture 2. How many? Counting surprises ; Lecture 3. Fermat's last theorem and the allure of number ; Lecture 4. Pining for nature's numbers ; Lecture 5. Sizing up the Fibonacci numbers ; Lecture 6. The sexiest rectangleDisc 2: Part 1. Lecture 7. Hidden beauty of the golden rectangle ; Lecture 8. Pythagorean theorem and geometry of ellipses ; Lecture 9. Not-so-Platonic relationships in Platonic solids ; Lecture 10. Hunting for a sixth Platonic solid ; Lecture 11. Is there a fourth dimension? Can we see it? ; Lecture 12. The invisible art of the fourth dimensionDisc 3: Part 2. Lecture 13. A twisted idea: The Möbius band ; Lecture 14. A one-sided, sealed surface: The Klein bottle ; Lecture 15. Ordinary origami: Creating beautiful patterns ; Lecture 16. Unfolding paper to reveal a fiery fractal ; Lecture 17. Fractals: Infinitely complex creations ; Lecture 18. Fractal frauds of natureDisc 4: Part 2. Lecture 19. Chance surprises: Measuring uncertainty ; Lecture 20. Door number two or door number three? ; Lecture 21. Great expectations: Weighing the uncertain future ; Lecture 22. Random thoughts: Randomness in our world ; Lecture 23. How surprising are surprising coincidences? ; Lecture 24. Life lessons learned from mathematical thinking

Technique

live action

resource.variantTitle

Beauty and power of classical mathematical ideas

Classification

Contributor

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Subject