An Introduction to Complex Analysis and the Laplace Transform

ISBN-13: 9780367409784 / Angielski / Twarda / 2021 / 384 str.

Vladimir Eiderman

Opis

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.

Spis treści

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

O autorze

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.