## 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

Index