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Author

Bloomfield, Victor A., author

CRC the R series

Contents Introduction; Obtaining and Installing R; Learning R; Learning Numerical Methods; Finding Help; Augmenting R with Packages; Learning More about R; Calculating ; Basic Operators and Functions; Complex Numbers; Numerical Display, Round-Off Error,

And Rounding; Assigning Variables; Relational Operators; Vectors; Matrices; Time and Date Calculations; Graphing ; Scatter Plots; Function Plots; Other Common Plots; Customizing Plots; Error Bars; Superimposing Vectors in a Plot; Modifying Axes; Adding Text and Math Expressions; Placing Several Plots in a Figure; Two- and Three-Dimensional Plots; The Plotrix Package; Animation; Additional Plotting Packages; Programming and Functions ; Conditional Execution: If and If Else; Loops; User-Defined Functions; Debugging; Built-in Mathematical Functions; Special Functions of Mathematical Physics; Polynomial Functions in Packages; Case Studies; Solving Systems Of Algebraic Equations ; Finding the Zeroes of a Polynomial; Finding the Zeroes of a Function; Systems of Linear Equations: Matrix Solve; Matrix Inverse; Singular Matrix; Overdetermined Systems and Generalized

Inverse; Sparse Matrices; Matrix Decomposition; Systems of Nonlinear Equations; Case Studies; Numerical Differentiation and Integration ; Numerical Differentiation; Numerical Integration; Symbolic Manipulations in R; Case Studies; Optimization ; One-Dimensional Optimization; Multi-Dimensional Optimization with Optim(); Other Optimization Packages; Optimization with Constraints; Global Optimization with Many Local Minima; Linear and Quadratic Programming; Mixed-Integer Linear Programming; Case Study; Ordinary Differential Equations; Euler Method; Improved Euler Method; deSolve Package; Matrix Exponential Solution for Sets of Linear ODEs; Events and Roots; Difference Equations; Delay Differential Equations; Differential Algebraic Equations; rootSolve for Steady State Solutions of Systems of ODEs; bvpSolve Package for Boundary Value ODE Problems; Stochastic Differential Equations:

Gillespiessa Package; Case Studies; Partial Differential Equations; Diffusion Equation; Wave Equation; Laplace's Equation; Solving PDEs with the Reactran Package; Examples with the Reactran Package; Case Studies; Analyzing Data; Getting Data into R; Data Frames; Summary Statistics for a Single Data Set; Statistical Comparison of Two Samples; Chi-Squared Test for Goodness of Fit; Correlation; Principal Component Analysis; Cluster Analysis; Case Studies; Fitting Models To Data ; Fitting Data with Linear Models; Fitting Data with Nonlinear Models; Inverse Modeling of ODEs with the FME Package; Improving the Convergence of Series: Padé and Shanks; Interpolation; Time Series, Spectrum Analysis, and Signal Processing; Case Studies

Notes Introduction Obtaining and Installing R Learning R Learning Numerical Methods Finding Help Augmenting R with Packages Learning More about R Calculating Basic Operators and Functions Complex Numbers Numerical Display, Round-Off Error, and Rounding Assigning Variables Relational Operators Vectors Matrices Time and Date Calculations Graphing Scatter Plots Function Plots Other Common Plots Customizing Plots Error Bars Superimposing Vectors in a Plot Modifying Axes Adding Text and Math Expressions Placing Several Plots in a Figure Two- and Three-Dimensional Plots The Plotrix Package Animation Additional Plotting Packages Programming and Functions Conditional Execution: If and If Else Loops User-Defined Functions Debugging Built-in Mathematical Functions Special Functions of Mathematical Physics Polynomial Functions in Packages Case Studies Solving Systems Of Algebraic Equations Finding the Zeroes of a Polynomial Finding the Zeroes of a Function Systems of Linear Equations: Matrix Solve Matrix Inverse Singular Matrix Overdetermined Systems and Generalized Inverse Sparse Matrices Matrix Decomposition Systems of Nonlinear Equations Case Studies Numerical Differentiation and Integration Numerical Differentiation Numerical Integration Symbolic Manipulations in R Case Studies Optimization One-Dimensional Optimization Multi-Dimensional Optimization with Optim() Other Optimization Packages Optimization with Constraints Global Optimization with Many Local Minima Linear and Quadratic Programming Mixed-Integer Linear Programming Case Study Ordinary Differential Equations Euler Method Improved Euler Method deSolve Package Matrix Exponential Solution for Sets of Linear ODEs Events and Roots Difference Equations Delay Differential Equations Differential Algebraic Equations rootSolve for Steady State Solutions of Systems of ODEs bvpSolve Package for Boundary Value ODE Problems Stochastic Differential Equations: Gillespiessa Package Case Studies Partial Differential Equations Diffusion Equation Wave Equation Laplace's Equation Solving PDEs with the Reactran Package Examples with the Reactran Package Case Studies Analyzing Data Getting Data into R Data Frames Summary Statistics for a Single Data Set Statistical Comparison of Two Samples Chi-Squared Test for Goodness of Fit Correlation Principal Component Analysis Cluster Analysis Case Studies Fitting Models To Data Fitting Data with Linear Models Fitting Data with Nonlinear Models Inverse Modeling of ODEs with the FME Package Improving the Convergence of Series: Padé and Shanks Interpolation Time Series, Spectrum Analysis, and Signal Processing Case Studies 

Subject Science -- Data processing.

Engineering -- Data processing.

Numerical analysis.

R (Computer program language)

Engineering -- Data processing.

Numerical analysis.

R (Computer program language)

Science -- Data processing.

Form Electronic book

ISBN 9781315360492

1315360497

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