By Steven Chapra, Raymond Canale
The 7th version of Chapra and Canale's Numerical tools for Engineers keeps the educational suggestions that experience made the textual content such a success. Chapra and Canale's new angle opens every one a part of the textual content with sections referred to as “Motivation,“ “Mathematical Background,” and “Orientation” each one half closes with an “Epilogue” containing “Trade-Offs,” “Important Relationships and Formulas,” and “Advanced equipment and extra References.” even more than a precis, the Epilogue deepens figuring out of what has been discovered and gives a peek into extra complicated equipment. worthwhile separate Appendices. “Getting all started with MATLAB” and “Getting all started with Mathcad” which make first-class references.
Numerous new or revised difficulties are drawn from genuine engineering perform. The elevated breadth of engineering disciplines coated is principally glaring in those workouts, which now hide such components as biotechnology and biomedical engineering. first-class new examples and case reports span all parts of engineering giving scholars a vast publicity to varied fields in engineering.
Users will locate use of documents for plenty of renowned software program applications, particularly MATLAB®, Excel® with VBA, and Mathcad®. there's additionally fabric on constructing MATLAB® m-files and VBA macros.
Table of Contents
CHAPTER 1 Mathematical Modeling and Engineering challenge Solving
CHAPTER 2 Programming and Software
CHAPTER three Approximations and Round-Off Errors
CHAPTER four Truncation mistakes and the Taylor Series
CHAPTER five Bracketing Methods
CHAPTER 6 Open Methods
CHAPTER 7 Roots of Polynomials
CHAPTER eight Case reports: Roots of Equations
CHAPTER nine Gauss Elimination
CHAPTER 10 LU Decomposition and Matrix Inversion
CHAPTER eleven exact Matrices and Gauss-Seidel
CHAPTER 12 Case reports: Linear Algebraic Equations
CHAPTER thirteen One-Dimensional Unconstrained Optimization
CHAPTER 14 Multidimensional Unconstrained Optimization
CHAPTER 15 restricted Optimization
CHAPTER sixteen Case experiences: Optimization
CHAPTER 17 Least-Squares Regression
CHAPTER 18 Interpolation
CHAPTER 19 Fourier Approximation
CHAPTER 20 Case stories: Curve Fitting
CHAPTER 21 Newton-Cotes Integration Formulas
CHAPTER 22 Integration of Equations
CHAPTER 23 Numerical Differentiation
CHAPTER 24 Case stories: Numerical Integration and Differentiation
CHAPTER 25 Runge-Kutta Methods
CHAPTER 26 Stiffness and Multistep Methods
CHAPTER 27 Boundary-Value and Eigenvalue Problems
CHAPTER 28 Case stories: usual Differential Equations
CHAPTER 29 Finite distinction: Elliptic Equations
CHAPTER 30 Finite distinction: Parabolic Equations
CHAPTER 31 Finite-Element Method
CHAPTER 32 Case stories: Partial Differential Equations
APPENDIX A: THE FOURIER SERIES
APPENDIX B: GETTING begun WITH MATLAB
APPENDIX C: GETTING began WITH MATHCAD
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Extra resources for Numerical Methods for Engineers (7th Edition)
Example text
2. 5 s. Can you make any statement regarding the errors of the calculation based on the results? 3 Rather than the linear relationship of Eq. 7), you might choose to model the upward force on the parachutist as a secondorder relationship, FU 5 2c¿y2 where c9 5 a bulk second-order drag coefficient (kg/m). (a) Using calculus, obtain the closed-form solution for the case where the jumper is initially at rest (y 5 0 at t 5 0). 2 with the same initial condition and parameter values, but with second-order drag.
The single-alternative decision, or IF/THEN structure (Fig. 3a), allows for a detour in the program flow if a logical condition is true. If it is false, nothing happens and the program moves directly to the next statement following the ENDIF. The double-alternative decision, or IF/THEN/ELSE structure (Fig. 3b), behaves in the same manner for a true condition. However, if the condition is false, the program implements the code between the ELSE and the ENDIF. 2 (a) Flowchart and (b) pseudocode for the sequence structure.
This technique uses code-like statements in place of the graphical symbols of the flowchart. We have adopted some style conventions for the pseudocode in this book. , are capitalized, whereas the conditions, processing steps, and tasks are in lowercase. Additionally, the processing steps are indented. Thus the keywords form a “sandwich” around the steps to visually define the extent of each control structure. One advantage of pseudocode is that it is easier to develop a program with it than with a flowchart.
