Numerical methods for engineers /
Chapra, Steven
Numerical methods for engineers / Steven Chapra and Raymond Canale - EIGHT EDITION International Student Edition - New York, NY : McGraw-Hill Education, c2021. - xvi, 988 pages : illustrations ; 24 cm.
Includes bibliographical references and index.
Part One. Modeling, computers, and error analysis --
Part Two. Roots of equations --
Part Three. Linear algebraic equations --
Part Four. Optimization --
Part Five. Curve fitting --
Part Six. Numerical differentiation and integration --
Part Seven. Ordinary differential equations --
Part Eight. Partial differential equations Mathematical modeling and engineering problem solving --
Programming and software --
Approximations and round-off errors --
Truncation errors and the Taylor series --
Epilogue : Part One --
Bracketing methods --
Open methods --
Roots of polynomials --
Case studies : Roots of equations --
Epilogue : Part Two --
Gauss elimination --
LU decomposition and matrix inversion --
Special matrices and Gauss-Seidel --
Case Studies : Linear algebraic equations --
Epilogue : Part Three --
One-dimensional unconstrained optimization --
Multidimensional unconstrained optimization --
Constrained optimization --
Case studies : Optimization --
Epilogue : Part Four --
Least-squares regression --
Interpolation --
Fourier approximation --
Case studies : Curve fitting --
Epilogue : Part Five --
Newton-Cotes integration formulas --
Integration of equations --
Numerical differentiation --
Case studies : Numerical integration and differentiation --
Epilogue : Part Six --
Runge-Kutta methods --
Stiffness and multistep methods --
Boundary-value and eigenvalue problems --
Case studies : Ordinary differential equations --
Epilogue : Part Seven --
Finite difference : Elliptic equations --
Finite difference : Parabolic equations --
Finite-element method --
Case studies : Partial differential equations --
Epilogue : Part Eight --
Appendix A. The Fourier Series --
Appendix B. Getting started with MATLAB --
Appendix C. Getting started with Mathcad.
The eighth edition of Chapra and Canale's 'Numerical Methods for Engineers' retains the instructional techniques that have made the text so successful. The book covers the standard numerical methods employed by both students and practicing engineers. Although relevant theory is covered, the primary emphasis is on how the methods are applied for engineering problem solving. Each part of the book includes a chapter devoted to case studies from the major engineering disciplines. Numerous new or revised end-of chapter problems and case studies are drawn from actual engineering practice. This edition also includes several new topics including a new formulation for cubic splines, Monte Carlo integration, and supplementary material on hyperbolic partial differential equations.
9781260571387
ENGINEERING MATHEMATICS -- DATA PROCESSING
TA 345 .C43 2021
Numerical methods for engineers / Steven Chapra and Raymond Canale - EIGHT EDITION International Student Edition - New York, NY : McGraw-Hill Education, c2021. - xvi, 988 pages : illustrations ; 24 cm.
Includes bibliographical references and index.
Part One. Modeling, computers, and error analysis --
Part Two. Roots of equations --
Part Three. Linear algebraic equations --
Part Four. Optimization --
Part Five. Curve fitting --
Part Six. Numerical differentiation and integration --
Part Seven. Ordinary differential equations --
Part Eight. Partial differential equations Mathematical modeling and engineering problem solving --
Programming and software --
Approximations and round-off errors --
Truncation errors and the Taylor series --
Epilogue : Part One --
Bracketing methods --
Open methods --
Roots of polynomials --
Case studies : Roots of equations --
Epilogue : Part Two --
Gauss elimination --
LU decomposition and matrix inversion --
Special matrices and Gauss-Seidel --
Case Studies : Linear algebraic equations --
Epilogue : Part Three --
One-dimensional unconstrained optimization --
Multidimensional unconstrained optimization --
Constrained optimization --
Case studies : Optimization --
Epilogue : Part Four --
Least-squares regression --
Interpolation --
Fourier approximation --
Case studies : Curve fitting --
Epilogue : Part Five --
Newton-Cotes integration formulas --
Integration of equations --
Numerical differentiation --
Case studies : Numerical integration and differentiation --
Epilogue : Part Six --
Runge-Kutta methods --
Stiffness and multistep methods --
Boundary-value and eigenvalue problems --
Case studies : Ordinary differential equations --
Epilogue : Part Seven --
Finite difference : Elliptic equations --
Finite difference : Parabolic equations --
Finite-element method --
Case studies : Partial differential equations --
Epilogue : Part Eight --
Appendix A. The Fourier Series --
Appendix B. Getting started with MATLAB --
Appendix C. Getting started with Mathcad.
The eighth edition of Chapra and Canale's 'Numerical Methods for Engineers' retains the instructional techniques that have made the text so successful. The book covers the standard numerical methods employed by both students and practicing engineers. Although relevant theory is covered, the primary emphasis is on how the methods are applied for engineering problem solving. Each part of the book includes a chapter devoted to case studies from the major engineering disciplines. Numerous new or revised end-of chapter problems and case studies are drawn from actual engineering practice. This edition also includes several new topics including a new formulation for cubic splines, Monte Carlo integration, and supplementary material on hyperbolic partial differential equations.
9781260571387
ENGINEERING MATHEMATICS -- DATA PROCESSING
TA 345 .C43 2021