Applied Numerical Methods with Python, 1st Edition is written for students who want to learn and apply numerical methods in order to solve problems in engineering and science. As such, the methods are motivated by problems rather than by mathematics. That said, sufficient theory is provided so that students come away with insight into the techniques and their shortcomings. If you've ever used Applied Numerical Methods for MATLAB, you'll find transitioning to this Python program seamless! No prior experience with Python is required. McGraw Hill Connect, is available with this title. In addition…mehr
Applied Numerical Methods with Python, 1st Edition is written for students who want to learn and apply numerical methods in order to solve problems in engineering and science. As such, the methods are motivated by problems rather than by mathematics. That said, sufficient theory is provided so that students come away with insight into the techniques and their shortcomings. If you've ever used Applied Numerical Methods for MATLAB, you'll find transitioning to this Python program seamless! No prior experience with Python is required. McGraw Hill Connect, is available with this title. In addition to providing the MHeBook, Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, how they need it, so that class time is more effective. Connect enables professors to assign homework, quizzes, and tests easily and automatically grades and records the scores of the student's work.
Steve Chapra is the Emeritus Professor and Emeritus Berger Chair in the Civil and Environmental Engineering Department at Tufts University. His other books include Surface Water-Quality Modeling, Numerical Methods for Engineers, and Applied Numerical Methods with Python. Dr. Chapra received engineering degrees from Manhattan College and the University of Michigan. Before joining Tufts, he worked for the U.S. Environmental Protection Agency and the National Oceanic and Atmospheric Administration, and taught at Texas A&M University, the University of Colorado, and Imperial College London. His general research interests focus on surface water-quality modeling and advanced computer applications in environmental engineering. He is a Fellow and Life Member of the American Society of Civil Engineering (ASCE) and has received many awards for his scholarly and academic contributions, including the Rudolph Hering Medal (ASCE) for his research, and the Meriam-Wiley Distinguished Author Award (American Society for Engineering Education). He has also been recognized as an outstanding teacher and advisor among the engineering faculties at Texas A&M University, the University of Colorado, and Tufts University. As a strong proponent of continuing education, he has also taught over 90 workshops for professionals on numerical methods, computer programming, and environmental modeling.Beyond his professional interests, he enjoys art, music (especially classical music, jazz, and bluegrass), and reading history. Despite unfounded rumors to the contrary, he never has, and never will, voluntarily bungee jump or sky dive.
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1 Mathematical Modeling, Numerical Methods, and Problem Solving 2 MATLAB Fundamentals 3 Programming with MATLAB 4 Roundoff and Truncation Errors 5 Roots: Bracketing Methods 6 Roots: Open Methods 7 Optimization 8 Linear Algebraic Equations and Matrices 9 Gauss Elimination 10 LU Factorization 11 Matrix Inverse and Condition 12 Iterative Methods 13 Eigenvalues 14 Linear Regression 15 General Linear Least-Squares and Nonlinear Regression 16 Fourier Analysis 17 Polynomial Interpolation 18 Splines and Piecewise Interpolation 19 Numerical Integration Formulas 20 Numerical Integration of Functions 21 Numerical Differentiation 22 Initial-Value Problems 23 Adaptive Methods and Stiff Systems 24 Boundary-Value Problems Appendix A: Matplotlib Appendix B: Cubic Spline Smoothing Appendix C: Python Built-in Keywords: Functions, Methods, Operators, Types Appendix D: Python Functions and Scripts Presented in the Text Bibliography Index Accessibility Content: Text Alternatives for Images