Using R for Numerical Analysis in Science and Engineering

Victor A. Bloomfield (Autor)

Buch | Hardcover

360 Seiten

2014
Chapman & Hall/CRC (Verlag)
978-1-4398-8448-5 (ISBN)

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Instead of presenting the standard theoretical treatments that underlie the various numerical methods used by scientists and engineers, Using R for Numerical Analysis in Science and Engineering shows how to use R and its add-on packages to obtain numerical solutions to the complex mathematical problems commonly faced by scientists and engineers. This practical guide to the capabilities of R demonstrates Monte Carlo, stochastic, deterministic, and other numerical methods through an abundance of worked examples and code, covering the solution of systems of linear algebraic equations and nonlinear equations as well as ordinary differential equations and partial differential equations. It not only shows how to use R’s powerful graphic tools to construct the types of plots most useful in scientific and engineering work, but also:

Explains how to statistically analyze and fit data to linear and nonlinear models
Explores numerical differentiation, integration, and optimization
Describes how to find eigenvalues and eigenfunctions
Discusses interpolation and curve fitting
Considers the analysis of time series

Using R for Numerical Analysis in Science and Engineering provides a solid introduction to the most useful numerical methods for scientific and engineering data analysis using R.

Victor A. Bloomfield is currently emeritus professor at University of Minnesota, Minneapolis, USA. His research has encompassed more than four decades and a variety of topics, including enzyme kinetics, dynamic laser light scattering, bacteriophage assembly, DNA condensation, scanning tunneling microscopy, and single molecule stretching experiments on DNA. His theoretical work on biopolymer hydrodynamics and polyelectrolyte behavior has resulted in over 200 peer-reviewed journal publications. Using R for Numerical Analysis in Science and Engineering is an extension and broadening of his 2009 book, Computer Simulation and Data Analysis in Molecular Biology and Biophysics: An Introduction Using R, for general usage in science and engineering.

Introduction. Calculating. Graphing. Programming and Functions. Solving Systems of Algebraic Equations. Numerical Differentiation and Integration. Optimization. Ordinary Differential Equations. Partial Differential Equations. Analyzing Data. Fitting Models to Data.

Erscheint lt. Verlag	29.5.2014
Reihe/Serie	Chapman & Hall/CRC The R Series
Zusatzinfo	133 Illustrations, black and white
Sprache	englisch
Maße	156 x 234 mm
Gewicht	830 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
	Technik ► Umwelttechnik / Biotechnologie
ISBN-10	1-4398-8448-X / 143988448X
ISBN-13	978-1-4398-8448-5 / 9781439884485
Zustand	Neuware