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Using R for numerical analysis in science and engineering. (English) Zbl 1328.65003
The R Series. Boca Raton, FL: CRC Press (ISBN 978-1-4398-8448-5/hbk; 978-1-4398-8449-2/ebook). xxiii, 335 p. (2014).
The book belongs to the R Series, whose purpose is to reflect the recent developments and applications of the software environment R, dedicated to statistical computing and graphics. It presents the most frequently encountered types of problems, accompanied by codes and examples / case studies selected from a variety of domains.
The exposition is organized by considering eleven chapters, as follows: 1. Introduction, 2. Calculating, 3. Graphing, 4. Programming and functions, 5. Solving systems of algebraic equations, 6. Numerical differentiation and integration, 7. Optimization, 8. Ordinary differential equations, 9. Partial differential equations, 10. Analyzing data, 11. Fitting models to data.
The presentation style is clear, and the codes are relevant from the point of view of the R programming language employment. The book may be very useful for practitioners, students and researchers who are interested in different types of statistical approaches.
65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
00A06 Mathematics for nonmathematicians (engineering, social sciences, etc.)
68N15 Theory of programming languages
65Dxx Numerical approximation and computational geometry (primarily algorithms)
65Fxx Numerical linear algebra
65Hxx Nonlinear algebraic or transcendental equations
65Kxx Numerical methods for mathematical programming, optimization and variational techniques
65Lxx Numerical methods for ordinary differential equations
65Nxx Numerical methods for partial differential equations, boundary value problems
65Mxx Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
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