Using R for numerical analysis in science and engineering. (2018)

• Record Type: Book
• Further Information: Note: Victor A. Bloomfield.
• Authors: Bloomfield, Victor A
• 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
• Publisher Details: Place of publication not identified : Chapman and Hall/CRC
• Publication Date: 2018
• Extent: 1 online resource (359 pages), (133 illustrations)
• Subjects: 518.02855133; Science -- Data processing; Engineering -- Data processing; Numerical analysis; R (Computer program language)
• Languages: English
• ISBNs: 9781315360492; 1315360497
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.