Mathematical Methods in Electrical Engineering

Thomas B. A. Senior

doi:10.1017/CBO9781139165945

In this volume, the author covers the mathematical methods appropriate to both linear-systems theory and signal processing. The text deals with a number of topics usually found in introductory linear-systems courses, such as complex numbers and Laplace transforms, and addresses additional topics such as complex variable theory and Fourier series and transforms. Although the discussion is mathematically self-contained, it assumes that the reader has a firm background in calculus and differential equations. Each chapter contains a number of worked examples plus exercises designed to allow the student to put concepts into practice. The author writes in a mathematically elegant yet relaxed and readable style, and provides interesting historical notes along the way. Undergraduate students of electrical engineering, applied mathematics, and related disciplines - and their teachers - will welcome this book.

"...well-written and easy to read and should be useful to beginning undergraduates in engineering, particularly electronic engineering." Times Higher Education Supplement

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Mathematical Methods in Electrical Engineering

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

Chapter 1 - Complex numbers
pp 1-12

Chapter 2 - Laplace transforms
pp 13-48

Chapter 3 - Linear systems
pp 49-96

Chapter 4 - Fourier series
pp 97-132

Chapter 5 - Functions of a complex variable
pp 133-204

Chapter 6 - Fourier transforms
pp 205-255

Chapter 7 - Laplace transform revisited
pp 256-264

Answers to Selected Exercises
pp 265-268

Index
pp 269-272

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