Engineering Mathematics by Example
- Length: 487 pages
- Edition: 1
- Language: English
- Publisher: Springer
- Publication Date: 2022-02-25
- ISBN-10: 3030795446
- ISBN-13: 9783030795443
- Sales Rank: #11922649 (See Top 100 Books)
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.
Cover Front Matter Part I. Algebra and Analysis 1. Basic Number Theory 2. Polynomials 3. Linear Equations and Inequalities 4. Exponential and Logarithmic Functions 5. Trigonometry 6. Complex Algebra 7. Linear Algebra 8. Limits 9. Derivatives 10. Function Analysis 11. Integrals 12. Multivariable Functions 13. Complex Functions in Engineering and Science 14. Differential Equations Part II. Mathematics for Signal Processing 15. Series 16. Special Functions 17. Convolution Integral 18. Discrete Convolution Sum 19. Fourier Transformation Integral 20. Discrete Fourier Transformation Back Matter
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