Bibliograph

The shape of nature, Satyan L. Devadoss ; producer, Zachary H. Rhoades

Type

Label

The shape of nature, Satyan L. Devadoss ; producer, Zachary H. Rhoades

Language

eng

Bibliography note

Bibliographical references included in course guidebook

Characteristic

videorecording

Main title

The shape of nature

Oclc number

647685008

Responsibility statement

Satyan L. Devadoss ; producer, Zachary H. Rhoades

Runtime

Series statement

The great courses. Science & Mathematics

Summary

An authoriative guide to the mathematical shapes around us: how they're formed, how they're studied, and how they're applied to our everyday lives. With these lectures presented in three parts you will discover the intricate relationship between mathematics and nature, get a pointed introduction to the language mathematicians use to study shapes and dimensions, and learn how to finally make sense of this abstract intriguing subject

Table Of Contents

Disc 1. Lecture 1. Understanding nature ; Lecture 2. The language of shapes ; Lecture 3. Knots and strings ; Lecture 4. Creating new knots from old ; Lecture 5. DNA entanglement ; Lecture 6. The Jones revolution -- Disc 2. Lecture 7. Symmetries of molecules ; Lecture 8. The messy business of tangles and mutations ; Lecture 9. Braids and the language of groups ; Lecture 10. Platonic solids and Euler's masterpiece ; Lecture 11. Surfaces and a new notion of equivalence ; Lecture 12. Reaching boundaries and losing orientationsDisc 3. Lecture 13. Knots and surfaces -- 14. Wind flows and currents -- 15. Curvature and Gauss's geometric gem -- 16. Playing with scissors and polygons -- 17. Bending chains and folding origami -- 18. Cauchy's rigidity and Connelly's flexibility -- Disc 4. Lecture19. Mountain terrains and surface reconstruction -- 20. Voronoi's regions of influence -- 21. Convex hulls and computational conplexity -- 22. Patterns and colors -- 23. Orange stackings and bubble partitions -- 24. The topology of the universeDisc 5. Lecture 25. Tetrahedra and mathematical surgery -- 26. The fundamental group -- 27. Poincare's question and Perelman's answer -- 28. The geometry of the universe -- 29. Visualizing in higher dimensions -- 30. Polyhedra in higher dimensions -- Disc 6. Lecture 31. Particle motions -- 32. Particle collisions -- 33. Evolutionary trees -- 34. Chaos and fractals -- 35. Reclaiming Leonardo da Vinci -- 36. Pushing the forefront

Technique

live action

Classification