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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) |
| Notas: | <P><STRONG>Introduction <BR></STRONG>Obtaining and Installing R <BR>Learning R <BR>Learning Numerical Methods <BR>Finding Help <BR>Augmenting R with Packages <BR>Learning More about R <BR><B>Calculating</B> <BR>Basic Operators and Functions <BR>Complex Numbers <BR>Numerical Display, Round-Off Error, and Rounding <BR>Assigning Variables <BR>Relational Operators <BR>Vectors <BR>Matrices <BR>Time and Date Calculations <BR><B>Graphing</B> <BR>Scatter Plots <BR>Function Plots <BR>Other Common Plots <BR>Customizing Plots <BR>Error Bars <BR>Superimposing Vectors in a Plot <BR>Modifying Axes <BR>Adding Text and Math Expressions <BR>Placing Several Plots in a Figure <BR>Two- and Three-Dimensional Plots <BR>The Plotrix Package <BR>Animation <BR>Additional Plotting Packages <BR><B>Programming and Functions</B> <BR>Conditional Execution: If and If Else <BR>Loops <BR>User-Defined Functions <BR>Debugging <BR>Built-in Mathematical Functions <BR>Special Functions of Mathematical Physics <BR>Polynomial Functions in Packages <BR>Case Studies <BR><B>Solving Systems Of Algebraic Equations</B> <BR>Finding the Zeroes of a Polynomial <BR>Finding the Zeroes of a Function <BR>Systems of Linear Equations: Matrix Solve <BR>Matrix Inverse <BR>Singular Matrix <BR>Overdetermined Systems and Generalized Inverse <BR>Sparse Matrices <BR>Matrix Decomposition <BR>Systems of Nonlinear Equations <BR>Case Studies <BR><B>Numerical Differentiation and Integration</B> <BR>Numerical Differentiation <BR>Numerical Integration <BR>Symbolic Manipulations in R <BR>Case Studies <BR><B>Optimization</B> <BR>One-Dimensional Optimization <BR>Multi-Dimensional Optimization with Optim() <BR>Other Optimization Packages <BR>Optimization with Constraints <BR>Global Optimization with Many Local Minima <BR>Linear and Quadratic Programming <BR>Mixed-Integer Linear Programming <BR>Case Study <BR><B>Ordinary Differential Equations <BR></B>Euler Method <BR>Improved Euler Method <BR>deSolve Package <BR>Matrix Exponential Solution for Sets of Linear ODEs<BR>Events and Roots <BR>Difference Equations <BR>Delay Differential Equations <BR>Differential Algebraic Equations <BR>rootSolve for Steady State Solutions of Systems of ODEs<BR>bvpSolve Package for Boundary Value ODE Problems <BR>Stochastic Differential Equations: Gillespiessa Package <BR>Case Studies <BR><B>Partial Differential Equations <BR></B>Diffusion Equation <BR>Wave Equation <BR>Laplace's Equation <BR>Solving PDEs with the Reactran Package <BR>Examples with the Reactran Package <BR>Case Studies <BR><B>Analyzing Data <BR></B>Getting Data into R <BR>Data Frames <BR>Summary Statistics for a Single Data Set <BR>Statistical Comparison of Two Samples <BR>Chi-Squared Test for Goodness of Fit <BR>Correlation <BR>Principal Component Analysis <BR>Cluster Analysis <BR>Case Studies <BR><B>Fitting Models To Data</B> <BR>Fitting Data with Linear Models <BR>Fitting Data with Nonlinear Models <BR>Inverse Modeling of ODEs with the FME Package <BR>Improving the Convergence of Series: Padé and Shanks <BR>Interpolation <BR>Time Series, Spectrum Analysis, and Signal Processing <BR>Case Studies </P> |
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| Descripción Física: | 1 online resource (359 pages : 133 illustrations |
| ISBN: | 9781315360492 1315360497 |