* The electronic component of the book is based on the widely used and highly praised Mathematica software package.* Each chapter of the bookis a Mathematica notebook with links to web-based material.* The methods are applied to a range of problems taken from physics and engineering.* The book covers elementary and advaned numerical methods used in modern scientific computing.
Author(s): Daniel Dubin
Publisher: Wiley-Interscience
Year: 2003
Language: English
Pages: 633
Cover Page......Page 1
Title Page......Page 2
Copyright 2003 by John Wiley & Sons, Inc.......Page 3
PREFACE......Page 11
1 ORDINARY DIFFERENTIAL EQUATIONS IN THE PHYSICAL SCIENCES......Page 4
2 FOURIER SERIES AND TRANSFORMS......Page 5
4 EIGENMODE ANALYSIS......Page 6
6 NUMERICAL SOLUTION OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS......Page 7
8 INTRODUCTION TO RANDOM PROCESSES......Page 8
1 ORDINARY DIFFERENTIAL EQUATIONS IN THE PHYSICAL SCIENCES......Page 15
2 FOURIER SERIES AND TRANSFORMS......Page 101
3 INTRODUCTION TO LINEAR PARTIAL DIFFERENTIAL EQUATIONS......Page 205
4 EIGENMODE ANALYSIS......Page 275
5 PARTIAL DIFFERENTIAL EQUATIONS IN INFINITE DOMAINS......Page 369
6 NUMERICAL SOLUTION OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS......Page 448
7 NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS......Page 524
8 INTRODUCTION TO RANDOM PROCESSES......Page 580
APPENDIX FINITE-DIFFERENCED DERIVATIVES......Page 629
A......Page 633
C......Page 634
D......Page 635
E......Page 636
F......Page 637
H......Page 638
I,J,K,L......Page 639
M......Page 640
P......Page 641
Q,R,S......Page 643
T,U,V......Page 644
W,Z......Page 645
SOME PROPERTIES OF MATERIALS......Page 646
UNIT CONVERSION......Page 647
EXPLICIT FORMS FOR VECTOR DIFFERENTIAL OPERATIONS......Page 648
Back Page......Page 649
