CMNAComputational Methods for Numerical Analysis

The book

Computational Methods for Numerical Analysis with R

A traditional numerical-analysis sequence taught through complete, inspectable implementations in R.

Computational Methods for Numerical Analysis with R is an overview of traditional numerical-analysis topics presented using R. The book focuses on how the underlying algorithms work: common methods from linear algebra, interpolation, numerical integration, root finding, optimization, and differential equations are implemented directly in R and then used in examples.

The premise: use a high-level language to remove the distracting machinery of memory management and input/output without hiding the numerical algorithm itself.

Contents

  1. Introduction to Numerical Analysis
  2. Error Analysis
  3. Linear Algebra
  4. Interpolation and Extrapolation
  5. Differentiation and Integration
  6. Root Finding and Optimization
  7. Differential Equations

The volume also includes a preface, suggested reading, and an index.

Who it is for

The book is aimed at readers who already know enough R to work comfortably in the language and want to understand the numerical machinery underneath common computational tasks. It is suitable as a collateral text for an advanced undergraduate or early graduate numerical-analysis course, and also for computational readers in mathematics, statistics, economics, physics, and engineering.

Buy the book

Availability, format, and pricing vary by seller. The hardcover ISBN is978-1-4987-2363-3.

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Citation

James P. Howard, II.
Computational Methods for Numerical Analysis with R.
Numerical Analysis and Scientific Computing.
New York: Chapman & Hall/CRC, 2017.
doi:10.1201/9781315120195
Citation formats and downloads