Advanced Mathematics for Applied and Pure Sciences

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CRC Press, Jan 13, 1998 - Mathematics - 904 pages
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Covers applicable mathematics that should provide a text, at the third year level and beyond, appropriate for both students of engineering and the pure sciences. The book is a product of close collaboration between two mathematicians and an engineer and it is of note that the engineer has been helpful in pinpointing the problems engineering students usually encounter in books written by mathematicians. Instead of just listing techniques and a few examples, or providing a list of theorems along with their proofs, it explains why the techniques work. The emphasis is on helping the student develop an understanding of mathematics and its applications.
 

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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 Differentia Equations I
401
Partial Differential Equations II
511
Numerical Methods
569
Numerical Solution of Partial Differential Equations
681
Calculus of Variations
739
Depends on Several Functions
786
Special Topics
809
References
861
Appendices
867
Author Index
875
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