Engineering Mathematics by Example

ISBN-13: 9783031411953 / Angielski / Twarda / 2023

Robert Sobot

Opis

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).

Spis treści

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.

O autorze

Robert Sobot received the B.Sc. degree in engineering physics from the University of Belgrade, ex-Yugoslavia, in 1989, and the M.A.Sc. and the Ph.D. degrees in electrical engineering from Simon Fraser University, Canada, in 1996 and 2005 respectively. In September 2014 he joined ENSEA in France as a Full Professor. From 2006 to 2015 he was with Western University in Canada as an Associate Professor, now he is an Adjunct Professor. From 1996 to 2001 he was with PMC-Sierra Inc., Canada, where he was leading projects in analog IC design. During 2012/14 he was invited researcher at the University Pierre et Marie Curie at Sorbonne (LiP6), Paris, France. Since 2010 he authored two textbooks on the topic of Wireless Communication Electronics, and he established the Implantable System Laboratory (ISL) at Western University in Canada that is dedicated to research related to wireless implantable telemetry systems.

Blurb

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.