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This quiz consists of 5 multiple choice and 5 short answer questions through Chapters 5-6.

Multiple Choice Questions

1. Who was a German writer, pictorial artist, biologist, theoretical physicist, and polymath?
(a) Gustav Mahler.
(b) Jean Racine.
(c) Harry Swinney.
(d) Johann Wolfgang von Goethe.

2. In fluid dynamics, what condition for viscous fluids states that at a solid boundary, the fluid will have zero velocity relative to the boundary?
(a) Period doubling bifurcation.
(b) Chaos theory.
(c) No-slip condition.
(d) Momentum diffusion.

3. From what institution did Thomas S. Kuhn earn his B.S., M.S. and Ph.D. degrees in physics?
(a) Stanford University.
(b) Loyola University.
(c) Princeton University.
(d) Harvard University.

4. What can be formed by taking a finite Cartesian product of the Cantor set with itself, making it a Cantor space?
(a) Euclidean space.
(b) Helium in a Box.
(c) Fractal.
(d) Cantor dust.

5. One of the implications of what theorem is that if a continuous discrete dynamical system on the real line has a periodic point of period 3, then it must have periodic points of every other period?
(a) Sharkovskii's theorem.
(b) Stevenson's theorem.
(c) Skawinski's theorem.
(d) Stronghorn's theorem.

Short Answer Questions

1. In fluid dynamics, what consists of a viscous fluid confined in the gap between two rotating cylinders?

2. What is the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations?

3. In Chapter 4, "A Geometry of Nature," Houthakker explained to Mandelbrot the diagram in his office represented eight years of what?

4. When was Robert May born?

5. What is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena?

(see the answer key)

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