Introduction to Scientific Computing and Data Analysis

Softcover Nachdruck of the original 1. Auflage 2016
ISBN: 978-3-319-80762-1
Verlag: Springer International Publishing

Buch, Englisch, Band 13, 497 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 8596 g

Reihe: Texts in Computational Science and Engineering

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Holmes, Mark H.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

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

Über Autor(innen)

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.