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Using R for numerical analysis in science and engineering /
| Autor principal: | |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Place of publication not identified] :
Chapman and Hall/CRC,
2018.
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| Colección: | Chapman & Hall/CRC the R series
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| Temas: | |
| Acceso en línea: | Texto completo (Requiere registro previo con correo institucional) |
Tabla de Contenidos:
- 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