This book is for the undergraduate level, providing a one-semester bridge between some of the introductory math courses and the physics courses in which we expect to use the mathematics. This is the course typically called Mathematical Methods in Physics.
Book Description
Having the right answer doesn’t guarantee understanding. Encouraging students’ development of intuition, this original work begins with a review of basic mathematics and advances to infinite series, complex algebra, differential equations, and Fourier series. Succeeding chapters explore multivariable and vector calculus, partial differential equations, numerical and complex analysis, tensors, complex analysis, and more.
Table of Contents
- Basic Stuff
- Infinite Series
- Complex Algebra
- Ordinary Differential Equations
- Fourier Series
- Vector Spaces
- Operators and Matrices
- Multivariable Calculus
- Vector Calculus I
- Partial Differential Equations
- Numerical Analysis
- Tensors
- Vector Calculus II
- Complex Variables
- Fourier Analysis
- Calculus of Variations
- Densities, Distributions