Engineering Mathematics by Example
Vol. I: Algebra and Linear Algebra
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Product details:
- Edition number Second Edition 2023
- Publisher Springer
- Date of Publication 15 November 2023
- Number of Volumes 1 pieces, Book
- ISBN 9783031411991
- Binding Hardback
- No. of pages303 pages
- Size 254x178 mm
- Weight 801 g
- Language English
- Illustrations 1 Illustrations, black & white; 127 Illustrations, color 0
Categories
Short description:
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 are split into three separate books: the topics of algebra, complex algebra, and linear algebra (Vol. I), calculus of single and multiple argument functions (Vol. II), and continues and discrete Convolution and Fourier integrals/sums of typical functions used in signal processing, in addition to Laplace transform examples (Vol. III).
- 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; followed by the additional in-line reminders embedded at the key points of most solutions;
- Includes tutorial-style, complete solutions, to all problems.
Long description:
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.
Table of Contents:
Basic Number Theory.- Polynomials.- Linear Equations and Inequalities.- Exponential and Logarithmic Functions.- Trigonometry.- Complex Algebra.- Linear Algebra.- Limits.- Derivatives.- Function Analysis.- Integrals.- Multivariable Functions.- Complex Functions in Engineering and Science.- Differential Equations.- Special Functions.- Convolution Integral.- Series.- Discrete Convolution Sum.- Fourier Integral.- Discrete Fourier Integral.
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