Engineering Mathematics by Example

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. 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