Numerical Methods for Engineers : With Software and Programming Applications

ISBN-10: 0072431938
ISBN-13: 9780072431933
Edition: 4th 2002
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Book details

Edition: 4th
Copyright year: 2002
Publisher: McGraw-Hill Higher Education
Binding: Hardcover
Pages: 944
Size: 8.50" wide x 9.00" long x 1.25" tall
Weight: 4.246
Language: English

Retired

Preface
About the Authors
Modeling, Computers, and Error Analysisp. 3
Mathematical Modeling and Engineering Problem Solvingp. 11
Programming and Softwarep. 25
Approximations and Round-Off Errorsp. 50
Truncation Errors and the Taylor Seriesp. 73
Epilogue: Part Onep. 99
Roots of Equationsp. 105
Bracketing Methodsp. 112
Open Methodsp. 133
Roots of Polynomialsp. 160
Engineering Applications: Roots of Equationsp. 187
Epilogue: Part Twop. 212
Linear Algebraic Equationsp. 217
Gauss Eliminationp. 231
LU Decomposition and Matrix Inversionp. 264
Special Matrices and Gauss-Seidelp. 285
Engineering Applications: Linear Algebraic Equationsp. 305
Epilogue: Part Threep. 327
Optimizationp. 331
One-Dimensional Unconstrained Optimizationp. 341
Multidimensional Unconstrained Optimizationp. 355
Constrained Optimizationp. 375
Engineering Applications: Optimizationp. 400
Epilogue: Part Fourp. 422
Curve Fittingp. 425
Least-Squares Regressionp. 440
Interpolationp. 474
Fourier Approximationp. 507
Engineering Applications: Curve Fittingp. 544
Epilogue: Part Fivep. 563
Numerical Differentiation and Integrationp. 569
Newton-Cotes Integration Formulasp. 584
Integration of Equationsp. 613
Numerical Differentiationp. 632
Engineering Applications: Numerical Integration and Differentiationp. 646
Epilogue: Part Sixp. 667
Ordinary Differential Equationsp. 671
Runge-Kutta Methodsp. 681
Stiffness and Multistep Methodsp. 726
Boundary-Value and Eigenvalue Problemsp. 752
Engineering Applications: Ordinary Differential Equationsp. 781
Epilogue: Part Sevenp. 808
Partial Differential Equationsp. 813
Finite Difference: Elliptic Equationsp. 820
Finite Difference: Parabolic Equationsp. 840
Finite-Element Methodp. 857
Engineering Applications: Partial Differential Equationsp. 884
Epilogue: Part Eightp. 899
The Fourier Seriesp. 901
Getting Started with MATLABp. 903
Bibliographyp. 911
Indexp. 915
Table of Contents provided by Blackwell. All Rights Reserved.

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