Applied mathematics for science and engineering

"This book is designed to prepare students in the applied sciences and engineering for both analytic and numerical solutions of problems arising in post-graduate studies and in industrial practice. It includes examples and problems from biology, chemistry, and physics, as well as from most engineering disciplines and the presentation accommodates the learning styles of contemporary students"--

1.Problem Formulation and Model Development -- Introduction -- Algebraic Equations from Vapor -- Liquid Equilibria (VLE) -- Macroscopic Balances: Lumped-Parameter Models -- Force Balances: Nekton's Second Law of Motion -- Distributed Parameter Models: Microscopic Balances -- Using the Equations of Change Directly -- A Contrast: Deterministic Models and Stochastic Processes -- Empiricisms and Data Interpretation -- Conclusion -- Problems -- References -- 2.Algebraic Equations -- Introduction -- Elementary Methods -- Newton-Raphson (Newton's Method of Tangents) -- Regula Falsi (False Position Method) -- Dichotomous Search -- Golden Section Search -- Simultaneous Linear Algebraic Equations -- Crout's (or Cholesky's) Method -- Matrix Inversion -- Iterative Methods of Solution -- Simultaneous Nonlinear Algebraic Equations -- Pattern Search for Solution of Nonlinear Algebraic Equations -- Sequential Simplex and the Rosenbrock Method -- An Example of a Pattern Search Application -- Algebraic Equations with Constraints -- Conclusion -- Problems -- References -- 3.Vectors and Tensors -- Introduction -- Manipulation of Vectors -- Force Equilibrium -- Equating Moments -- Projectile Motion --…