## BooksLight & Matter [b][e] Open source Physics Textbook SeriesMotionmountain [b][e] Physics Textbook Series (Unconventional teaching style) UT Austin Physics Textbooks Complete textbooks for undergraduate to graduate level students Chicago Undergraduate Physics Bibliography Physics undergraduate book list Stack Exchange Physics Book Recommendations So You want To Become a Physicist? A collection of physics books for almost any subject. Physicsforfree Three free textbooks by Professor Frank Firk Subsection ScriptsApplied Math for PhysicsWHY this section ? It should be possible, these days, to collect all knowledge you need from the internet. Problem then is, there is so much junk on the internet. Is it possible to weed out those very rare pages that may really be of use?
- Set theory:
- open sets,
- compact spaces.
- Topology.
- Algebraic equations.
- Approximation techniques.
- Series expansions: the Taylor series.
- Solving equations with complex numbers.
- Trigonometry: sin(2x)=2sin x cos x, etc.
- Infinitesimals.
- Differentiation.
- Differentiate basic functions (sin, cos, exp).
- Integration.
- Integrate basic functions
- Differential equations.
- Linear equations.
- The Fourier transformation.
- The use of complex numbers.
- Convergence of series.
- The complex plane.
- Cauchy theorems and contour integration
- The Gamma function
- Gaussian integrals. Probability theory.
- Partial differential equations.
- Dirichlet and Neumann boundary conditions.
This is for starters. Some of these topics actually come as entire lecture courses. Much of those are essential ingredients of theories in Physics. You don't have to finish it all before beginning with what follows next, but remember to return to those subjects skipped during the first round. - Static mechanics (forces, tension); hydrostatics. Newton's Laws.
- The elliptical orbits of planets. The many-body system.
- The action principle. Hamilton's equations. The Lagrangean. (Don't skip - extremely important!)
- The harmonic oscillator. The pendulum.
- Poisson's brackets.
- Wave equations. Liquids and gases. The Navier-Stokes equations. Viscosity and friction.
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