Introduction to Scientific Computing and Data Analysis
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Beschreibung
This textbook provides an 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 codes used for most of the computational examples in the text are available on GitHub. This new edition includes material necessary for an upper division course in computational linear algebra.
This textbook provides an 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 codes used for most of the computational examples in the text are available on GitHub. This new edition includes material necessary for an upper division course in computational linear algebra.
Codes used for all of the computational examples are available on GitHub Covers optimization methods, regression principal & independent component analysis & variational calculus Problem solving & the constructive use of the mathematical foundations of the subject
Autor*in
Mark H. Holmes
Themen in »Introduction to Scientific Computing and Data Analysis«
Scientific Computing Data Analysis Optimization Interpolation Nonlinear Equations Numerical Linear Algebra Numerical Integration Singular Value Decomposition Conjugate Gradient Method