Understandable Statistics is a thorough, yet approachable statistics text. Designed to help students overcome their apprehension about statistics, the text provides guidance and informal advice showing students the links between statistics and their everyday lives. To reinforce this approach, the book integrates real-life data selected from a variety of sources including journals, periodicals, newspapers and the Internet.
Necessary and sufficient conditions for a weak and strong extremum. Legendre transformation, Hamiltonian systems. Constraints and Lagrange multipliers. Space-time problems with examples from elasticity, electromagnetics, and fluid mechanics. Sturm-Liouville problems. Approximate methods.
Emphasizes acquisition of solution techniques; illustrates ideas with specific example problems arising in science and engineering. Includes applications of vector differential calculus, complex variables; line-surface integrals; integral theorems; and Taylor and Laurent series, and contour integration. This is a Graduate level course.