Reading Material

Assignment 1:

1. J. Butterfield - "Against Pointillisme about Mechanics". Click here.

2. V. Arnold - "Mathematical Methods of Classical Mechanics". Click here.

3. G. 't Hooft - "Free Will in the Theory of Everything". Click here.

4. A. Einstein - "On the Electrodynamics of Moving Bodies". Click here.

J. C. Baez, J. P. Muniain - "Gauge Fields, Knots and Gravity". Click here. (DjVu file)

1. I. 2 - Manifolds

2. I.3 - Vector fields

3. I. 4 - Differential Forms

4. II. 2 - Bundles and Connections

Assignment 2:

1. J. Figueroa-O’Farrill - "Non-Lorentzian spacetimes”. Click here.

2. A. Einstein - ”Does the inertia of a body depend upon its energy-content?”. Click here.

3. Lecture notes of J. D. Norton (better spacetime diagrams and twin paradox). Click here.

K. Doğan - "Generalizations of Differential Geometric Structures on Pre-Leibniz Algebroids" (PhD Thesis). Click here.

1. Ch 2 & 3 include a concentrated review of the topics we discussed in the class.

2. Eq. 2.4.7 should have a summation over the index i: the second line in RHS from i = 1 to i = q, the third line in RHS from i = 1 to i = r.