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Advanced Mathematics for Engineering and Science written by
C. F. Chan Man Fong , Tulane University, USA and
D. De Kee , Tulane University, USA and
P. N. Kaloni , University of Windsor, Canada
The objective of this book is to provide a mathematical text at the third year level and beyond, appropriate for students of engineering and sciences. It is a book of applicable mathematics.
We have avoided the approach of listing only the techniques followed by a few examples, without explaining why the techniques work. Thus we have provided not only the know how but also the know why. Equally it is not written as a book of pure mathematics with a list of theorems followed by their proofs. Our emphasis is to help students develop an understanding of mathematics and its applications. We have refrained from using cliches like "it is obvious" and "it can be shown", which might be true only to a mature mathematician. In general, we have been generous in writing down all the steps in solving the example problems. Contrary to the opinion of the publisher of S. Hawking
s book, A Short History of Time, we believe that, for students, every additional equation in the worked examples will double the readership.
Many engineering schools offer little mathematics beyond the second year level. This is not a desirable situation as junior and senior year courses have to be watered-down accordingly. For graduate work, many students are handicapped by a lack of preparation in mathematics. Practicing engineers reading the technical literature, are more likely to get stuck because of a lack of mathematical skills. Language is seldom a problem. Further self-study of mathematics is easier said than done. It demands not only a good book but also an enormous amount of self-discipline. The present book is an appropriate one for self-study. We hope to have provided enough motivation, however we cannot provide the discipline!
Title: Advanced Mathematics for Engineering and Science
Author(s): C F Chan Man Fong, D De Kee, P N Kaloni
Publisher: World Scientific Publishing Co. Pte. Ltd., 5 Toh Tuck Link, Singapore
Series:
Year: 2013
Pages: 898
Type: PDF
Language: English
ISBN: 9789812382924,9812382925,9812382917
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Advanced Mathematics for Engineering and Science written by
C F Chan Man Fong, D De Kee, P N Kaloni cover the following topics.
1. Review of Calculus and Ordinary Differential Equations
2. Series Solutions and Special Functions
3. Complex Variables
4. Vector and Tensor Analysis
5. Partial Differential Equations I
6. Partial Differential Equations II
7. Numerical Methods
8. Numerical Solution of Partial Differential Equations
9. Calculus of Variations
10. Special Topics
Appendix I - The equation of continuity in several coordinate systems
Appendix II - The equation of motion in several coordinate systems
Appendix III - The equation of energy in terms of the transport properties in several coordinate systems
Appendix IV - The equation of continuity of species A in several coordinate systems
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