Advanced Mathematics for Engineering and Science

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World Scientific, 2003 - Mathematics - 880 pages
2 Reviews
This is a mathematical text suitable for students of engineering and science who are at the third year undergraduate level or beyond. It is a book of applicable mathematics. It avoids the approach of listing only the techniques, followed by a few examples, without explaining why the techniques work. Thus, it provides not only the know-how but also the know-why. Equally, the text has not been written as a book of pure mathematics with a list of theorems followed by their proofs. The authors' aim is to help students develop an understanding of mathematics and its applications. They have refrained from using clichés like “it is obvious” and “it can be shown”, which may be true only to a mature mathematician. On the whole, the authors have been generous in writing down all the steps in solving the example problems.The book comprises ten chapters. Each chapter contains several solved problems clarifying the introduced concepts. Some of the examples are taken from the recent literature and serve to illustrate the applications in various fields of engineering and science. At the end of each chapter, there are assignment problems with two levels of difficulty. A list of references is provided at the end of the book.This book is the product of a close collaboration between two mathematicians and an engineer. The engineer has been helpful in pinpointing the problems which engineering students encounter in books written by mathematicians.
 

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Contents

Review of Calculus and Ordinary Differential Equations
1
Series Solutions and Special Functions
89
Complex Variables
191
Vector and Tensor Analysis
301
Partial Differential Equations I
401
Partial Differential Equations II
511
Numerical Methods
569
Numerical Solution of Partial Differential Equations
681
Calculus of Variations
739
Special Topics
809
References
861
Appendices
867
Author Index
875
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