Introduction to Scientific Computing and Data Analysis

Mark H. Holmes (Autor)

Buch | Hardcover

XIV, 497 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-30254-6 (ISBN)

Infos

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 author's website and SpringerLink.

Autor

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.

Inhalt

Introduction to Scientific Computing.- Solving a Nonlinear Equation.- Matrix Equations.- Eigenvalue Problems.- Interpolation.- Numerical Integration.- Initial Value Problems.- Optimization.- Data Analysis.- Appendices.

Rezensionen

"The material is accompanied by many examples, exercises, as well as diagrams and tables of resulting data which are produced by MATLAB for which the programs are available on the author's website. The book is intended for beginners in scientific computing with basic knowledge in calculus, matrix algebra, and differential equations. ... a good reading for the more advanced scientific engineer or lecturer in this field who may find numerous suggestions for working or teaching." (Gudula Rünger, zbMATH 1368.65002, 2017)

Produkt-Details

• Erscheinungsdatum: 10.05.2016
• Reihe/Serie: Texts in Computational Science and Engineering
• Zusatzinfo: XIV, 497 p. 177 illus., 138 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 987 g
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Schlagworte: computational science and engineering • Conjugate Gradient Method • Data Analysis • Interpolation • mathematics and statistics • Nonlinear Equations • Numerical Integration • numerical linear algebra • Optimization • Partial differential equations • Scientific Computing • Scientific Computing / Wissenschaftliches Rechnen • singular value decomposition
• ISBN-10: 3-319-30254-X / 331930254X
• ISBN-13: 978-3-319-30254-6 / 9783319302546
• Zustand: Neuware