Laws And Models Science, Engineering, And Technology

This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts.

The text provides the following:Guidance in building of physical and mathematical models. Numerical examples for each of the equations derived numbering more than 100. Sketches and illustrations numbering more than 200. Solved problems to highlight whole spectrum of applications numbering more than 400. Objective questions for self evaluation numbering more than 700. Graded problems for exercise mostly with answers, numbering more than 450.Stress on validation of numerical results by counter checking.

This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering.

This book describes the dynamic collisions between baseballs, softballs, and bats, and the intricate modeling of these interactions, using only Newton’s basic principles and the conservation laws of physics. Veteran baseball science author Terry Bahill explains models for the speed and spin of balls and bats and equations for bat-ball collisions at a level accessible to high school and undergraduate physics students, engineering students, and, most importantly, students of the science of baseball.