ABSTRACT

Everything You Need to Know about Mathematics for Science and EngineeringUpdated and expanded with new topics, The Mathematics Companion: Mathematical Methods for Physicists and Engineers, 2nd Edition presents the essential core of mathematical principles needed by scientists and engineers. Starting from the basic concepts of trigonometry, the book

part |1 pages

Part 1 - Mathematics Essentials

chapter 1|5 pages

2 Limits and Functions

chapter 1|10 pages

3 Differentiation

chapter 1|6 pages

4 Integration

chapter 1|6 pages

5 Exponential and Logarithmic Functions

chapter 1|9 pages

6 Trigonometric and Hyperbolic Functions

chapter 1|8 pages

7 Methods of Integration

chapter 1|10 pages

8 Waves

chapter 1|6 pages

9 Infinite Series

chapter 1|12 pages

10 Probability

chapter 1|7 pages

11 Matrices

part |1 pages

Part 2 - Advanced Mathematics

chapter 2|18 pages

1 Ordinary Differential Equations

chapter 2|8 pages

2 Laplace Transforms

chapter 2|12 pages

3 Vector Analysis

chapter 2|14 pages

4 Partial Derivatives

chapter 2|19 pages

5 Multiple Integrals

chapter 2|8 pages

6 Fourier Series

chapter 2|10 pages

7 Partial Differential Equations

chapter 2|12 pages

8 Numerical Methods

part |1 pages

Part 3 - Applications

chapter 3|9 pages

1 Capacitance

chapter 3|13 pages

2 Solid Mechanics

chapter 3|7 pages

3 Signal Processing

chapter 3|11 pages

4 Fourier Optics

chapter 3|37 pages

5 Quantum Mechanics