Introduction to Complex Analysis and the Laplace Transform

The textbook is designed for university students studying science and engineering. I have aimed for a comparatively short book that would give a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications.

List of contents

Preface
Introduction
Chapter 1. Complex Numbers and Their Arithmetic
Chapter 2. Functions of a Complex Variable
Chapter 3. Differentiation of Functions of a Complex Variable
Chapter 4. Conformal Mappings
Chapter 5. Integration
Chapter 6. Series
Chapter 7. Residue Theory
Chapter 8. Applications
Chapter 9. The Laplace Transform
Solutions, hints, and answers to selected problems
Appendix
Bibliography
Index

About the author

Vladimir Eiderman holds a Ph.D. from Mathematical Institute of Academy of Sciences, Armenian SSR. He is Rothrock Lecturer of Indiana University. He has been Professor, Moscow State University of Civil Engineering, Visiting Professor of University of Kentucky, University of Wisconsin-Madison, and Indiana University. Dr. Eiderman has more than 30 research publications.

Summary

The textbook is designed for university students studying science and engineering. I have aimed for a comparatively short book that would give a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications.

Product details

• Authors: Vladimir Eiderman, Vladimir (Indiana University Eiderman, Eiderman Vladimir
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 31.12.2021
• EAN: 9780367409784
• ISBN: 978-0-367-40978-4
• No. of pages: 384
• Series: Textbooks in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Functional Analysis, MATHEMATICS / Complex Analysis, Complex analysis, complex variables, Maths for scientists, Maths for engineers