"Version: 202111"--Title page verso.Includes bibliographical references.1. Reflection and refraction of light -- 1.1. Basic theory -- 1.2. Virtual lab : reflection and refraction -- 1.3. Real lab : reflection and refraction2. Thin lenses -- 2.1. Basic theory -- 2.2. Virtual lab A : converging lens -- 2.3. Virtual lab B : converging -- 2.4. Real lab : thin lens equation3. Human eye and correctiv…
"Version: 20240201"--Title page verso.Includes bibliographical references.1. Manifolds -- 1.1. What is a manifold? -- 1.2. Curves and surfaces in a manifold -- 1.3. Coordinate transformations and summation convention -- 1.4. The local geometry of a manifold -- 1.5. Length, area, and volume -- 1.6. Local Cartesian coordinates and tangent space -- 1.7. The signature of a manifold -- 1.8. N-dimens…
"Version: 20220701"--Title page verso.Includes bibliographical references.1. Series and convergence -- 1.1. Sequence and series -- 1.2. Testing series for convergence -- 1.3. Series representations of real functions -- 1.4. Sequence, series and Mathematica -- 1.5. Homework assignment2. Complex numbers, functions, and series -- 2.1. Complex numbers -- 2.2. Complex infinite series -- 2.3. Powers …