Advanced Mathematical Methods in Science and Engineering

✍ Scribed by S.I. Hayek

• Publisher: CRC Press, Marcel Dekker
• Year: 2000
• Tongue: English
• Leaves: 737
• Edition: 1
• Category: Library

✦ Synopsis

A collection of an extensive range of mathematical topics into a plenary reference/textbook for solving mathematical and engineering problems. Topics covered include asymptotic methods, an explanation of Green's functions for ordinary and partial differential equations for unbounded and bounded media, and more.

✦ Table of Contents

PREFACE......Page 5
TABLE OF CONTENTS......Page 8
1: ORDINARY DIFFERENTIAL EQUATIONS......Page 17
2: SERIES SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS......Page 34
3: SPECIAL FUNCTIONS......Page 58
4: BOUNDARY VALUE PROBLEMS AND EIGENVALUE PROBLEMS......Page 121
5: FUNCTIONS OF A COMPLEX VARIABLE......Page 199
6: PARTIAL DIFFERENTIAL EQUATIONS OF MATHEMATICAL PHYSICS......Page 306
7: INTEGRAL TRANSFORMS......Page 396
8: GREEN’S FUNCTIONS......Page 466
9: ASYMPTOTIC METHODS......Page 544
APPENDIX A INFINITE SERIES......Page 591
APPENDIX B SPECIAL FUNCTIONS......Page 605
APPENDIX C ORTHOGONAL COORDINATE SYSTEMS......Page 630
APPENDIX D DIRAC DELTA FUNCTIONS......Page 640
APPENDIX E PLOTS OF SPECIAL FUNCTIONS......Page 655
ANSWERS......Page 666