Numerical Methods for Engineers 7th ed 2015 by Steven Chapra
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COVER: http://i.imgur.com/AFZYVAM.jpg TITLE: Numerical Methods for Engineers, 7th edition (2015) AUTHOR: Steven C. Chapra, Raymond P. Canale ISBN-13: 9780073397924 BOOK SPECS: https://www.mheducation.com/highered/product/007339792X.html FILE SPECS: true PDF, logical page numbers as in the print version, bookmarks, 16 MB DESCRIPTION: The 7th edition of Chapra and Canale's NUMERICAL METHODS FOR ENGINEERS retains the instructional techniques that have made the text so successful. Chapra and Canale's unique approach opens each part of the text with sections called "Motivation", "Mathematical Background", and "Orientation". Each part closes with an "Epilogue" containing "Trade-Offs", "Important Relationships and Formulas", and "Advanced Methods and Additional References". Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. Numerous new or revised problems are drawn from actual engineering practice. The expanded breadth of engineering disciplines covered is especially evident in these exercises, which now cover such areas as biotechnology and biomedical engineering. Excellent new examples and case studies span all areas of engineering giving students a broad exposure to various fields in engineering. BRIEF CONTENTS: --------------- PART 1 MODELING, COMPUTERS, AND ERROR ANALYSIS 1 Mathematical Modeling and Engineering Problem Solving 2 Programming and Software 3 Approximations and Round-Off Errors 4 Truncation Errors and the Taylor Series PART 2 ROOTS OF EQUATIONS 5 Bracketing Methods 6 Open Methods 7 Roots of Polynomials 8 Case Studies: Roots of Equations PART 3 LINEAR ALGEBRAIC EQUATIONS 9 Gauss Elimination 10 LU Decomposition and Matrix Inversion 11 Special Matrices and Gauss-Seidel 12 Case Studies: Linear Algebraic Equations PARt 4 OPTIMIZATION 13 One-Dimensional Unconstrained Optimization 14 Multidimensional Unconstrained Optimization 15 Constrained Optimization 16 Case Studies: Optimization PART 5 CURVE FITTING 17 Least-Squares Regression 18 Interpolation 19 Fourier Approximation 20 Case Studies: Curve Fitting PART 6 NUMERICAL DIFFERENTIATION AND INTEGRATION 21 Newton-Cotes Integration Formulas 22 Integration of Equations 23 Numerical Differentiation 24 Case Studies: Numerical Integration and Differentiation PART 7 ORDINARY DIFFERENTIAL EQUATIONS 25 Runge-Kutta Methods 26 Stiffness and Multistep Methods 27 Boundary-Value and Eigenvalue Problems 28 Case Studies: Ordinary Differential Equations PART 8 PARTIAL DIFFERENTIAL EQUATIONS 29 Finite Difference: Elliptic Equations 30 Finite Difference: Parabolic Equations 31 Finite-Element Method 32 Case Studies: Partial Differential Equations appendixes bibliography
Chapra Numerical Methods for Engineers 7th ed 2015.pdf | 15.9 MiB |