This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems. It serves as a primary source for practicing and developing mathematical skills and techniques that will be essential in future studies and engineering practice. Rigor and mathematical formalism is drastically reduced, while the main focus is on developing practical skills and techniques for solving mathematical problems, given in forms typically found in engineering and science. These practical techniques cover the subjects of algebra, complex algebra, linear algebra, and calculus of single and multiple argument functions. In addition, the second part of the book covers problems on Convolution and Fourier integrals/sums of typical functions used in signal processing.
- Offers a large collection of progressively more sophisticated mathematical problems on main mathematical topics required for engineers/scientists;
- Provides, at the beginning of each topic, a brief review of definitions and formulas that are about to be used and practiced in the following problems;
- Includes tutorial-style, complete solutions, to all problems.
Author(s): Robert Sobot
Publisher: Springer
Year: 2022
Language: English
Pages: 487
City: Cham
Preface
Acknowledgements
Contents
Acronyms
Part I Algebra and Analysis
1 Basic Number Theory
Important to Know
1.1 Basic Number Operations
Solutions
2 Polynomials
Important to Know
2.1 Exercises
Solutions
3 Linear Equations and Inequalities
Important to Know
3.1 Exercises
Solutions
4 Exponential and Logarithmic Functions
Important to Know
4.1 Exercises
Solutions
5 Trigonometry
Important to Know
5.1 Exercises
Solutions
6 Complex Algebra
Important to Know
6.1 Exercises
Solutions
7 Linear Algebra
Important to Know
7.1 Exercises
Solutions
8 Limits
Important to Know
8.1 Exercises
Solutions
9 Derivatives
Important to Know
9.1 Exercises
Solutions
10 Function Analysis
Important to Know
10.1 Exercises
Solutions
11 Integrals
Important to Know
11.1 Exercises
Solutions
12 Multivariable Functions
Important to Know
12.1 Exercises
Solutions
13 Complex Functions in Engineering and Science
Important to Know
13.1 Exercises
Solutions
14 Differential Equations
Important to Know
14.1 Exercises
Solutions
Part II Mathematics for Signal Processing
15 Series
Important to Know
15.1 Exercises
Solutions
16 Special Functions
Important to Know
16.1 Exercises
Solutions
17 Convolution Integral
Important to Know
17.1 Exercises
Solutions
18 Discrete Convolution Sum
Important to Know
18.1 Exercises
Solutions
19 Fourier Transformation Integral
Important to Know
19.1 Exercises
Solutions
20 Discrete Fourier Transformation
Important to Know
20.1 Exercises
Solutions
References
Index
