Engineering Mathematics by Example : Vol. III: Special Functions and Transformations （2ND）

Sobot, Robert

Springer International Publishing AG（2024/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 217 p.
• 言語 ENG
• 商品コード 9783031412059

Full 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)

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.