Introduction to Scientific Computing and Data Analysis

Mark H. Holmes (Autor)

Buch | Softcover

XVI, 554 Seiten

2024 | 2. Second Edition 2023
Springer International Publishing (Verlag)
978-3-031-22432-4 (ISBN)

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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.

Mark Holmes is a Professor at Rensselaer Polytechnic Institute. His current research interests include mechanoreception and sleep-wake cycles. Professor Holmes has three published books in Springer's Texts in Applied Mathematics series: Introduction to Perturbation Methods, Introduction to the Foundations of Applied Mathematics, and Introduction to Numerical Methods in Differential Equations.

Preface.- Preface to Second Edition.- Introduction to Scientific Computing.- Solving a Nonlinear Equation.- Matrix Equations.- Eigenvalue Problems.- Interpolation.- Numerical Integration.- Initial Value Problems.- Optimization: Regression.- Optimization: Descent Methods.- Data Analysis.- Taylor's Theorem.- Vector and Matrix Summary.- Answers.- References.- Index.

Erscheinungsdatum	13.07.2024
Reihe/Serie	Texts in Computational Science and Engineering
Zusatzinfo	XVI, 554 p. 201 illus., 178 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Conjugate Gradient Method • Data Analysis • Interpolation • Nonlinear Equations • Numerical Integration • numerical linear algebra • Optimization • Scientific Computing • singular value decomposition
ISBN-10	3-031-22432-9 / 3031224329
ISBN-13	978-3-031-22432-4 / 9783031224324
Zustand	Neuware