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Good Books
- David W. Henderson, Differential Geometry: A Geometric Introduction(1988) -- FIZ 516.36 1988
- Lots of concrete, visual examples.
- Parallel transport and geodisics explained physically and concretely.
- John R. Acton and Patrick T. Squire, Solving Equations with Physical Understanding(1985) -- FIZ
530.15535 1985 SOL
- Solves lots of simple differential equations "intuitively".
- J. F. Cornwell, Group Theory in Physics Volumes 1,2,3 (1984) -- FIZ 530.15222 1984 GRO
- From the basics of group theory, through Grassman Algebra, to string theory.
- Marc J. Rochkind, Advanced Unix Programming (1985) -- FIZ 005.44 1985 ADV
- Shows the nuts and bolts of building a shell in unix. Forking explained clearly.
- Robert B. Griffiths, Consistent Quantum Theory (2002) -- FIZ 530.12 2002 QUA
- One of the best books on quantum theory I have read.
- Griffiths makes use of "toy models" which he uses to explain difficult concepts clearly.
- Explains quantum histories and why they must be consistent.
- If P(SX) is the proposition that "a spin points in the x direction", then Griffiths more or less proves
that the logical conjuction P(SX) AND P(SZ) is neither true nor false, but instead "meaningless",
for quantum 1/2 spin.
- Griffiths uses a toy model to explain the bizzare features of the two-slit experiment.
- Has a good discussion of Bell's Theorem. Explains how a "hidden classical variables"
theory must include (spooky) non-locality if it is to account for quantum correlations.
- Louis N. Hand and Janet D. Finch, Analytical Mechanics
(Cambridge University Press, 1998) -- FIZ 531.0151535 1998 ANA
- Explains holonomic and non-holonomic with easy to understand examples.
- Makes it clear that the Euler-Lagrange equation is valid (only) for
conserivative, holonomic systems.
- Makes a good attempt at explaining the Legendre transformation and why it is done.
- Has a section on "Theoretical Mechanics" which I am yet to explore.
- Explains Neother's theorem clearly.
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