Sunday, January 23, 2011

Book Project Update

Well here I am again. Sorry about the lengthy delay in posting, I am in a full-scale assault on the book to finish it by the end of this week. I have completed chapter 16, am finishing up chapter 15, and will finish 17 and 18 by week's end! The first draft is nearly done!

Here is the book now:

Lecture 1: Dynamical systems.
Interlude 1: Calculus.
Interlude 2: Newtonian mechanics.
Lecture 2: Conservation laws, the principle of least action, and the Lagrangian.
Interlude 3: Vectors and vector spaces.
Lecture 3: Conservation laws imply symmetry.
Interlude 4: Symmetry.
Lecture 4: Time translation symmetry, the conservation of energy, and the Hamiltonian.
Interlude 5: Transformations and matrices.
Lecture 5: Pendulums and springs.
Interlude 6: Complex numbers and ordinary differential equations. 
Lecture 6: The Hamiltonian method of mechanics. 
Interlude 7: Vector analysis.
Lecture 7: Liouville's Theorem and Information Conservation
Interlude 8: Thermodynamics (almost complete)
Lecture 8: Charged Particles in Electromagnetic Fields and an Introduction to Poisson Brackets
Interlude 9: Chaos (not done yet)
Lecture 9: Poisson Brackets and Canonical Transformations

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