Numerical Methods for Engineers: with Programming & Software Applications

by Chapra, Steven C.

• ISBN13: 9780075612544
• ISBN10: 0075612542
• Edition: 3rd
• Format: Hardcover
• Copyright: 1998-01-01
• Publisher: MCGRAW HILL BOOK COMPANY

Summary

A straightforward, student friendly text providing a sound introduction to numerical methods, computers, & mathematics for the engineer. 3 1/2 disk included. DLC: Engineering mathematics - Data processing.

Table of Contents

Modeling, Computers, and Error Analysis	p. 3
Mathematical Modeling and Engineering Problem-Solving	p. 11
Computers and Software	p. 24
Approximations and Round-Off Errors	p. 56
Truncation Errors and the Taylor Series	p. 79
Epilogue: Part One	p. 105
Roots of Equations	p. 111
Bracketing Methods	p. 118
Open Methods	p. 141
Roots of Polynomials	p. 167
Engineering Applications: Roots of Equations	p. 194
Epilogue: Part Two	p. 215
Linear Algebraic Equations	p. 219
Gauss Elimination	p. 233
LU Decomposition and Matrix Inversion	p. 266
Special Matrices and Gauss-Seidel	p. 288
Engineering Applications: Linear Algebraic Equations	p. 309
Epilogue: Part Three	p. 327
Optimization	p. 331
One-dimensional Unconstrained Optimization	p. 341
Multidimenslonal Unconstrained Optimization	p. 355
Constrained Optimization	p. 375
Engineering Applications: Optimization	p. 399
Epilogue: Part Four	p. 420
Curve Fitting	p. 423
Least-Squares Regression	p. 438
Interpolation	p. 473
Fourier Approximation	p. 507
Engineering Applications: Curve Fitting	p. 546
Epilogue: Part Five	p. 561
Numerical Differentiation and Integration	p. 567
Newton-Cotes Integration of Equations	p. 582
Integration of Equations	p. 610
Numerical Differentiation	p. 629
Engineering Applications: Numerical Integration and Differentiation	p. 643
Epilogue: Part Six	p. 661
Ordinary Differential Equations	p. 665
Runge-Kutta Methods	p. 675
Stiffness and Multistep Methods	p. 719
Boundary-Value and Eigenvalue Problems	p. 745
Engineering Applications: Ordinary Differential Equations	p. 777
Epilogue: Part Seven	p. 800
Partial Differential Equations	p. 805
Finite Difference: Elliptic Equations	p. 812
Finite Difference: Parabolic Equations	p. 832
Finite Element Method	p. 849
Engineering Applications: Partial Differential Iquations	p. 876
Epilogue: Part Eight	p. 891
The Fourier Series	p. 893
Getting Started with Mathcad	p. 895
Getting Started With Matlab	p. 905
Bibliography	p. 913
Index	p. 916
Table of Contents provided by Blackwell. All Rights Reserved.