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"

Includes index

Machine generated contents note: 1. Problem Formulation and Model Development 1 Introduction Algebraic Equations from Vapor-Liquid Equilibria (VLE) Macroscopic Balances -- Lumped-Parameter Models Force Balances -- Newton's Second Law of Motion Distributed Parameter models -- Microscopic Balances A Contrast: Deterministic Models and Stochastic Processes Empiricisms and Data Interpretation Conclusion References Problems 2. Algebraic Equations 28 Introduction Elementary Methods Simultaneous Linear Algebraic Equations Simultaneous Nonlinear Algebraic Equations Algebraic Equations with Constraints Conclusion References Problems 3. Vectors and Tensors 64 Introduction Manipulation of Vectors Green's Theorem Stokes' Theorem Conclusion References Problems 4. Numerical Quadrature 90 Introduction Trapezoid Rule Simpson's Rule Newton-Cotes Formulae Roundoff and Truncation Errors Romberg Integration Adaptive Integration Schemes Integrating Discrete Data Multiple Integrals (Cubature) Conclusion References Problems 5. Analytic Solution of Ordinary Differential Equations 126 An Introductory Example First Order Ordinary Differential Equations Nonlinear First Order Ordinary Differential Equations H…