Complex Analyses in Engineering, Science and Technology

by

S. G. Ahmed

DOI: 10.2174/97816810804201150101
eISBN: 978-1-68108-042-0, 2015
ISBN: 978-1-68108-043-7



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Table of Contents

Preface

- Pp. i
S. G. Ahmed
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Complex Numbers, Variables and Functions

- Pp. 3-28 (26)
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Complex Functions

- Pp. 29-60 (32)
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Methods of Evaluating Complex Integrals

- Pp. 61-101 (41)
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Complex Series

- Pp. 103-116 (14)
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Theory of Residue

- Pp. 117-147 (31)
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Transformation and Conformal Mapping

- Pp. 149-193 (45)
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References

- Pp. 195
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Subject Index

- Pp. 197-198 (2)
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Preface

The present book is specifically designated for undergraduate students in mathematics, physics and engineering. Basic sciences especially mathematics does not hold much prominence amongst sciences in the Middle East countries. So we have designated and intended this book for the Middle East countries and others. Engineering students do not take into consideration proofs when dealing with any branch of mathematics, the situation is completely different for science students. Engineering students mainly need to know how to apply a theorem but science students are usually interested in how the theorem comes from. The book underhand can be considered as an introductory course in complex numbers, complex functions, transformations and others, all of which are the basis of general complex analysis. An important note for the reader is to know that when dealing with subjects such as complex-valued functions, they should be familiar with the functions in the real plane and also with so many topics in complex analysis have similarity in the real field, so we advise the reader to make a short review for functions in real plane, differentiation and integration rules before dealing with the corresponding subjects in the complex analysis. This present book consists of six main chapters starting with the basis of complex numbers, its ideas, history and other deeper subjects. We tried to put so many solved examples to help the students to very well understand all areas in the contents of the present book. We still intending to increase the contents of the book by adding in the nearest future, more chapters in a brief detail and more areas in the field of complex analysis such that all the present and future materials will be mainly for undergraduate engineering students.

Acknowledgement

Declared None.

Conflict Of Interest

The author confirms that this ebook contents have no conflict of interest.

S. G. Ahmed
Taif University
Al-Haweiah
Faculty of Science
Department of Mathematics and Statistics
Kingdom of Saudi Arabia


List of Contributors

Author(s):
S. G. Ahmed
Taif University
Al-Haweiah
Faculty of Science
Department of Mathematics and Statistics
Kingdom of Saudi Arabia




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