Advanced mathematics for engineering and science 9789812382924, 9812382925, 9812382917
Mathematical text suitable for students of engineering and science who are at the third year undergraduate level or beyo
432 44 4MB
English Pages 898 Year 2003
Table of contents :
Cover Page......Page 1
Title Page......Page 4
ISBN 9812382917......Page 5
PREFACE......Page 6
2 Series Solutions and Special Functions......Page 8
3 Complex Variables......Page 9
5 Partial Differential Equations I......Page 10
7 Numerical Methods......Page 11
8 Numerical Solution of Partial Differential Equations......Page 12
10 Special Topics......Page 13
Subject Index......Page 14
1 REVIEW OF CALCULUS AND ORDINARY DIFFERENTIAL EQUATIONS......Page 16
2 SERIES SOLUTIONS AND SPECIAL FUNCTIONS......Page 104
3 COMPLEX VARIABLES......Page 206
4 VECTOR AND TENSOR ANALYSIS......Page 316
5 PARTIAL DIFFERENTIAL EQUATIONS I......Page 416
6 PARTIAL DIFFERENTIAL EQUATIONS II......Page 526
7 NUMERICAL METHODS......Page 584
8 NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS......Page 696
9 CALCULUS OF VARIATIONS......Page 754
10 SPECIAL TOPICS......Page 824
REFERENCES......Page 876
APPENDICES......Page 882
AUTHOR INDEX......Page 890
A,B,C,D......Page 892
J,K,L......Page 893
M,N,O,P,Q,R,S......Page 894
T,U,V,W,Z......Page 895
STANDARD DERIVATIVES AND INTEGRALS......Page 896
Back Cover Page......Page 898
Cover Page......Page 1
Title Page......Page 4
ISBN 9812382917......Page 5
PREFACE......Page 6
2 Series Solutions and Special Functions......Page 8
3 Complex Variables......Page 9
5 Partial Differential Equations I......Page 10
7 Numerical Methods......Page 11
8 Numerical Solution of Partial Differential Equations......Page 12
10 Special Topics......Page 13
Subject Index......Page 14
1 REVIEW OF CALCULUS AND ORDINARY DIFFERENTIAL EQUATIONS......Page 16
2 SERIES SOLUTIONS AND SPECIAL FUNCTIONS......Page 104
3 COMPLEX VARIABLES......Page 206
4 VECTOR AND TENSOR ANALYSIS......Page 316
5 PARTIAL DIFFERENTIAL EQUATIONS I......Page 416
6 PARTIAL DIFFERENTIAL EQUATIONS II......Page 526
7 NUMERICAL METHODS......Page 584
8 NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS......Page 696
9 CALCULUS OF VARIATIONS......Page 754
10 SPECIAL TOPICS......Page 824
REFERENCES......Page 876
APPENDICES......Page 882
AUTHOR INDEX......Page 890
A,B,C,D......Page 892
J,K,L......Page 893
M,N,O,P,Q,R,S......Page 894
T,U,V,W,Z......Page 895
STANDARD DERIVATIVES AND INTEGRALS......Page 896
Back Cover Page......Page 898
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