# An engineer's guide to Mathematica /

"Provides the tools for the reader to generate Mathematica programs to obtain numerical solutions to a wide range of engineering topics. An Engineer's Guide to Mathematica provides the tools to be able to generate verifiably correct Mathematica programs that obtain symbolic and numerical s...

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Main Author: Magrab, Edward B. (Author) eBook English Chichester, West Sussex ; Hoboken, NJ : John Wiley & Sons Inc., 2014. CONNECT CONNECT
• AN ENGINEER'S GUIDE TO MATHEMATICA®
• Contents
• Preface
• Table of Engineering Applications
• Part I Introduction
• 1 Mathematica® Environment and Basic Syntax
• 1.1 Introduction
• 1.2 Selecting Notebook Characteristics
• 1.3 Notebook Cells
• 1.4 Delimiters
• 1.5 Basic Syntax
• 1.5.1 Introduction
• 1.5.2 Templates: Greek Symbols and Mathematical Notation
• 1.5.3 Variable Names and Global Variables
• 1.6 Mathematical Constants
• 1.7 Complex Numbers
• 1.8 Elementary, Trigonometric, Hyperbolic, and a Few Special Functions
• 1.9 Strings
• 1.9.1 String Creation: StringJoin and ToString
• 1.9.2 Labeled Output: Print, NumberForm, EngineeringForm, and TraditionalForm
• 1.10 Conversions, Relational Operators, and Transformation Rule
• 1.11 Engineering Units and Unit Conversions: Quantity and UnitConvert
• 1.12 Creation of CDF Documents and Documents in Other Formats
• 1.13 Functions Introduced in Chapter
• Exercises
• 2 List Creation and Manipulation: Vectors and Matrices
• 2.1 Introduction
• 2.2 Creating Lists and Vectors
• 2.2.1 Introduction
• 2.2.2 Creating a List with Table
• 2.2.3 Summing Elements of a List: Total
• 2.2.4 Selecting Elements of a List
• 2.2.5 Identifying List Elements Matching a Pattern: Position
• 2.3 Creating Matrices
• 2.3.1 Introduction
• 2.3.2 Matrix Generation Using Table
• 2.3.3 Accessing Elements of Arrays
• 2.4 Matrix Operations on Vectors and Arrays
• 2.4.1 Introduction
• 2.4.2 Matrix Inverse and Determinant: Inverse and Det
• 2.5 Solution of a Linear System of Equations: LinearSolve
• 2.6 Eigenvalues and Eigenvectors: EigenSystem
• 2.7 Functions Introduced in Chapter 2
• References
• Exercises
• 3 User-Created Functions, Repetitive Operations, and Conditionals
• 3.1 Introduction
• 3.2 Expressions and Procedures as Functions
• 3.2.1 Introduction.
• 3.2.2 Pure Function: Function
• 3.2.3 Module
• 3.3 Find Elements of a List that Meet a Criterion: Select
• 3.4 Conditionals
• 3.4.1 If
• 3.4.2 Which
• 3.5 Repetitive Operations
• 3.5.1 Do
• 3.5.2 While
• 3.5.3 Nest
• 3.5.4 Map
• 3.6 Examples of Repetitive Operations and Conditionals
• 3.7 Functions Introduced in Chapter
• Exercises
• 4 Symbolic Operations
• 4.1 Introduction
• 4.2 Assumption Options
• 4.3 Solutions of Equations: Solve
• 4.4 Limits: Limit
• 4.5 Power Series: Series, Coefficient, and CoefficientList
• 4.6 Optimization: Maximize/Minimize
• 4.7 Differentiation: D
• 4.8 Integration: Integrate
• 4.9 Solutions of Ordinary Differential Equations: DSolve
• 4.10 Solutions of Partial Differential Equations: DSolve
• 4.11 Laplace Transform: LaplaceTransform and InverseLaplaceTransform
• 4.12 Functions Introduced in Chapter
• References
• Exercises
• 5 Numerical Evaluations of Equations
• 5.1 Introduction
• 5.2 Numerical Integration: NIntegrate
• 5.3 Numerical Solutions of Differential Equations: NDSolveValue and ParametricNDSolveValue
• 5.4 Numerical Solutions of Equations: NSolve
• 5.5 Roots of Transcendental Equations: FindRoot
• 5.6 Minimum and Maximum: FindMinimum and FindMaximum
• 5.7 Fitting of Data: Interpolation and FindFit
• 5.8 Discrete Fourier Transforms and Correlation: Fourier, InverseFourier, and ListCorrelate
• 5.9 Functions Introduced in Chapter
• References
• Exercises
• 6 Graphics
• 6.1 Introduction
• 6.2 2D Graphics
• 6.2.1 Basic Plotting
• 6.2.2 Basic Graph Enhancements
• 6.2.3 Common 2D Shapes: Graphics
• 6.2.5 Combining Figures: Show and GraphicsGrid
• 6.2.6 Tooltip
• 6.2.7 Exporting Graphics
• 6.3 3D Graphics
• 6.4 Summary of Functions Introduced in Chapter.
• 9.4 Nonlinear Regression Analysis: NonLinearModelFit
• 9.5 Analysis of Variance (ANOVA) and Factorial Designs: ANOVA
• 9.6 Functions Introduced in Chapter
• 10 Control Systems and Signal Processing
• 10.1 Introduction
• 10.2 Model Generation: State-Space and Transfer Function Representation
• 10.2.1 Introduction
• 10.2.2 State-Space Models: StateSpaceModel
• 10.2.3 Transfer Function Models: TransferFunctionModel
• 10.3 Model Connections
• Closed-Loop Systems and System Response: SystemsModelFeedbackConnect and SystemsModelSeriesConnect
• 10.4 Design Methods
• 10.4.1 Root Locus: RootLocusPlot
• 10.4.2 Bode Plot: BodePlot
• 10.4.3 Nichols Plot: NicholsPlot
• 10.5 Signal Processing
• 10.5.1 Filter Models: ButterworthFilterModel, EllipticFilterModel ...
• 10.5.2 Windows: HammingWindow, HannWindow ...
• 10.5.3 Spectrum Averaging
• 10.6 Aliasing
• 10.7 Functions Introduced in Chapter
• Reference
• 11 Heat Transfer and Fluid Mechanics
• 11.1 Introduction
• 11.2 Conduction Heat Transfer
• 11.2.1 One-Dimensional Transient Heat Diffusion in Solids
• 11.2.2 Heat Transfer in Concentric Spheres: Ablation of a Tumor
• 11.2.3 Heat Flow Through Fins
• 11.3 Natural Convection Along Heated Plates
• 11.4 View Factor Between Two Parallel Rectangular Surfaces
• 11.5 Internal Viscous Flow
• 11.5.1 Laminar Flow in Horizontal Cylindrical Pipes
• 11.5.2 Flow in Three Reservoirs
• 11.6 External Flow
• 11.6.1 Pressure Coefficient of a Joukowski Airfoil
• 11.6.2 Surface Profile in Nonuniform Flow in Open Channels
• References
• Index.