Introduction to Scientific Computing and
β Holmes, Mark H
π Library
π
2018
π Springer International Publishing
π English
β¦ LIBER β¦
π
Introduction to Scientific Computing and Data Analysis
β Scribed by Mark H. Holmes (auth.)
- Publisher
- Springer International Publishing
- Year
- 2016
- Tongue
- English
- Leaves
- 505
- Series
- Texts in Computational Science and Engineering 13
- Edition
- 1
- Category
- Library
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β¦ Synopsis
This textbook provides and introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The MATLAB codes used to produce most of the figures and data tables in the text are available on the authorβs website and SpringerLink.
β¦ Table of Contents
Front Matter....Pages i-xiv
Introduction to Scientific Computing....Pages 1-29
Solving A Nonlinear Equation....Pages 31-70
Matrix Equations....Pages 71-120
Eigenvalue Problems....Pages 121-181
Interpolation....Pages 183-229
Numerical Integration....Pages 231-274
Initial Value Problems....Pages 275-325
Optimization....Pages 327-396
Data Analysis....Pages 397-451
Back Matter....Pages 453-497
β¦ Subjects
Computational Science and Engineering; Optimization; Partial Differential Equations
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