Mathematical Methods for Scientists and Engineers

Donald A. McQuarrie
University of California, Davis

Brief Table of Contents

Chapter 1:  Functions of a Single Variable

Chapter 2:  Infinite Series

Chapter 3:  Functions Defined As Integrals

Chapter 4:  Complex Numbers and Complex Functions

Chapter 5:  Vectors

Chapter 6:  Functions of Several Variables

Chapter 7:  Vector Calculus

Chapter 8:  Curvilinear Coordinates

Chapter 9:  Linear Algebra and Vector Spaces

Chapter 10:  Matrices and Eigenvalue Problems

Chapter 11:  Ordinary Differential Equations

Chapter 12:  Series Solutions of Differential Equations

Chapter 13:  Qualitative Methods for Nonlinear Differential Equations

Chapter 14:  Orthogonal Polynomials and Sturm–Liouville Problems

Chapter 15:  Fourier Series

Chapter 16:  Partial Differential Equations

Chapter 17:  Integral Transforms

Chapter 18:  Functions of a Complex Variable: Theory

Chapter 19:  Functions of a Complex Variable: Applications

Chapter 20:  Calculus of Variations

Chapter 21:  Probability Theory and Stochastic Processes

Chapter 22:  Mathematical Statistics