An Introduction To Mathematica Electronic Version Only
9.1 Starting Mathematica
9.2 Mathematica Calculations
9.2.1 Arithmetic
9.2.2 Exact vs. Approximate Results
9.2.3 Some Intrinsic Functions
9.2.4 Special Numbers
9.2.5 Complex Arithmetic
9.2.6 The Function N and Arbitrary-Precision Numbers Exercises for Sec. 9.2
9.3 The Mathematica Front End and Kernel
9.4 Using Previous Results
9.4.2 Variables
9.4.3 Pallets and Keyboard Equivalents
9.5 Lists, Vectors, and Matrices
9.5.1 Defining Lists, Vectors, and Matrices
9.5.2 Vectors and Matrix Operations
9.5.3 Creating Lists, Vectors, and Matrices with the Table Command
9.5.4 Operations on Lists Exercises for Sec. 9.5
9.6 Plotting Results
9.6.1 The Plot Command
9.6.2 The Show Command
9.6.3 Plotting Several Curves on the Same Graph
9.6.4 The ListPlot Function
9.6.5 Parametric Plots
9.6.6 3D Plots
9.6.7 Animations
9.6.8 Add-On Packages Exercises for Sec. 9.6
9.7 Help for Mathematica Users
9.8 Computer Algebra
9.8.1 Manipulating Expressions
9.8.2 Replacement
9.8.3 Defining Functions
9.8.4 Applying Functions
9.8.5 Delayed Evaluation of Functions
9.8.6 Putting Conditions on Function Definitions Exercises for Sec. 9.8
9.9 Calculus
9.9.1 Derivatives
9.9.2 Power Series
9.9.3 Integration Exercises for Sec. 9.9
9.10 Analytic Solution of Algebraic Equations 9.10.1 Solve and NSolve
Exercises for Sec. 9.10
9.11 Numerical Analysis
9.11.1 Numerical Solution of Algebraic Equations
9.11.2 Numerical Integration
9.11.3 Interpolation
9.11.4 Fitting Exercises for Sec. 9.11
9.12 Summary of Basic Mathematica Commands
9.12.1 Elementary Functions
9.12.2 Using Previous Results; Substitution and Defining Variables
9.12.3 Lists, Tables, Vectors and Matrices
9.12.4 Graphics
9.12.5 Symbolic Mathematics References
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