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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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