Higher Mathematics for Science, Technology and Engineering


by

S. G. Ahmed

DOI: 10.2174/97816810828131160101
eISBN: 978-1-68108-281-3, 2016
ISBN: 978-1-68108-282-0



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Higher Mathematics for Science, Technology and Engineering is a textbook for undergraduate and postgraduate students undertaking scien...[view complete introduction]

Table of Contents

Preface

- Pp. i

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Functions of One Variables

- Pp. 3-51 (49)

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Derivatives and Their Applications

- Pp. 52-108 (57)

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Partial Differentiation and Their Applications

- Pp. 109-143 (35)

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Fundamentals of Equations and Equation Theory

- Pp. 144-179 (36)

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Theory of Determinants and Matrices and their Applications in Linear Equation Theory

- Pp. 180-225 (46)

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Partial Fractions

- Pp. 226-256 (31)

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Vector Differential and Integral Calculus

- Pp. 257-289 (33)

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Special Functions

- Pp. 290-341 (52)

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Real and Complex Fourier Series

- Pp. 342-369 (28)

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References

- Pp. 370-375 (6)

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Subject Index

- Pp. 376-380 (5)

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Preface

First of all let us believe and recall the neglected fact in our life that “the mother of all human science is Mathematics”. Dear students, readers, researchers and all those who respect mathematics, we introduce this book which may be helpful for them. Most of the researchers directed their own research work to the numerical analysis, due to the rapid communications and the advances in the computer programming. In the present book, we introduce some mathematical concepts that are widely important and can be considered on the basis of the numerical analysis. We presented the topics in a simple way of presentation and no proofs for theorems, because we decided to introduce the scientific material without complications related to those working on pure mathematics. Our main research work is the computational engineering and applied mathematics and numerical analysis; therefore, the present book can serve as the base of a future textbook in numerical analysis. We hope and pray that this work will last forever.

S. G. Ahmed
Department of Engineering Physics and Mathematics
Faculty of Engineering
Zagazig University
Egypt

CONFLICT OF INTEREST

The authors confirm that they have no conflict of interest to declare for this publication.

ACKNOWLEDGEMENTS

Declared none.

List of Contributors

Editor(s):
S. G. Ahmed
Department of Engineering Physics and Mathematics
Faculty of Engineering
Zagazig University
Egypt




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