"Version: 20230401"--Title page verso.Includes bibliographical references.1. Entropy counts : universal nature of the statistical entropy -- 1.1. Entropy, weight, probability, and information -- 1.2. A combinatorial example -- 1.3. Entropy and the Second Law -- 1.4. Nature of probability and randomness2. Variational formulation of equilibrium thermodynamics via entropy and free energy -- 2.1. E…
"Version: 20171201"--Title page verso.Includes bibliographical references.1. Review of fundamentals -- 1.1. Kinematics : basic notions -- 1.2. Dynamics : Newton's laws -- 1.3. Conservation laws -- 1.4. Potential energy and equilibrium -- 1.5. OK, we've got it--can we go home now? -- 1.6. Problems2. Lagrangian analytical mechanics -- 2.1. Lagrange equations -- 2.2. Three simple examples -- 2.3. …
"Version: 20180301"--Title page verso.Includes bibliographical references.1. Review of fundamentals -- 2. Lagrangian analytical mechanics -- 3. A few simple problems -- 4. Rigid-body motion -- 5. Oscillations -- 6. From oscillations to waves -- 7. Deformations and elasticity -- 8. Fluid mechanics -- 9. Deterministic chaos -- 10. A bit more of analytical mechanics -- Appendices. A. Selected math…
"Version: 20180401"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Notation and tensor analysis essentials -- 2.1. Linear fractional transform -- 2.2. Visualizing rotations3. Orthogonal basis and coordinate transformations -- 3.1. Superimposed rotations -- 3.2. Basis rotations4. Rotation operations -- 4.1. Why apparent inconsistency in placement of the negative sign…
"Version: 20190101"--Title page verso.Includes bibliographical references.8. Gravitation and central forces -- 8.1. Introduction -- 8.2. Newton's law of universal gravitation -- 8.3. Gravity -- 8.4. Gravitational force between a uniform sphere and a particle -- 8.5. Potential energy in a gravitational field : gravitational potential -- 8.6. Kepler's law of planetary motion9. Two- and three-dime…
"Version: 20200801"--Title page verso.Includes bibliographical references.1. Mathematical preliminaries -- 1.1. Vectors -- 1.2. Complex numbers -- 1.3. Calculus -- 1.4. Differential equations2. Newton's laws -- 2.1. Newton's laws of motion -- 2.2. The concept of force -- 2.3. Motion under a constant force -- 2.4. Projectiles -- 2.5. Momentum and impulse -- 2.6. Conservation of momentum for isol…
"Version: 20171201"--Title page verso.Includes bibliographical references.1. Mathematical models of fluid motion -- 1.1. Introduction -- 1.2. What is a fluid? -- 1.3. Volume and surface forces -- 1.4. General properties of the stress tensor -- 1.5. Stress tensor in a static fluid -- 1.6. Stress tensor in a moving fluid -- 1.7. Viscosity -- 1.8. Conservation laws -- 1.9. Mass conservation -- 1.1…
"Version: 20180501"--Title page verso.Includes bibliographical references.1. Electric charge interaction -- 1.1. The Coulomb law -- 1.2. The Gauss law -- 1.3. Scalar potential and electric field energy -- 1.4. Problems2. Charges and conductors -- 2.1. Polarization and screening -- 2.2. Capacitance -- 2.3. The simplest boundary problems -- 2.4. Using other orthogonal coordinates -- 2.5. Variable…
"Version: 20190701"--Title page verso.Includes bibliographical references.1. Review of thermodynamics -- 1.1. Introduction : statistical physics and thermodynamics -- 1.2. The 2nd law of thermodynamics, entropy, and temperature -- 1.3. The 1st and 3rd laws of thermodynamics, and heat capacity -- 1.4. Thermodynamic potentials -- 1.5. Systems with variable number of particles -- 1.6. Thermal mach…
"Version: 20180501"--Title page verso.Includes bibliographical references.1. Entropy counts -- 1.1. Entropy, weight, probability, and information -- 1.2. A combinatorial example -- 1.3. Entropy and the second law -- 1.4. Nature of probability and randomness2. Entropy varies -- 2.1. Entropy of an isolated system -- 2.2. Heat reservoir and the Helmholtz free energy -- 2.3. Various reservoirs -- 2…