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| Preface | |
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| Getting Started | |
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| Launching Mathematica | |
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| The Basic Technique for Using Mathematica | |
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| The First Computation | |
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| Commands for Basic Arithmetic | |
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| Input and Output | |
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| The BasicMathInput Palette | |
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| Decimal In, Decimal Out | |
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| Use Parentheses to Group Terms | |
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| Three Well-Known Constants | |
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| Typing Commands in Mathematica | |
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| Saving Your Work and Quitting Mathematica | |
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| Frequently Asked Questions About Mathematica's Syntax | |
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| Working with Mathematica | |
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| Opening Saved Notebooks | |
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| Adding Text to Notebooks | |
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| Printing | |
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| Creating Slide Shows | |
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| Creating Web Pages | |
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| Converting a Notebook to Another Format | |
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| Mathematica's Kernel | |
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| Tips for Working Effectively | |
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| Getting Help from Mathematica | |
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| Loading Packages | |
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| Troubleshooting | |
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| Functions and Their Graphs | |
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| Defining a Function | |
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| Plotting a Function | |
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| Using Mathematica's Plot Options | |
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| Investigating Functions with Manipulate | |
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| Producing a Table of Values | |
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| Working with Piecewise Defined Functions | |
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| Plotting Implicitly Defined Functions | |
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| Combining Graphics | |
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| Enhancing Your Graphics | |
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| Working with Data | |
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| Managing Data-An Introduction to Lists | |
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| Importing Data | |
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| Working with Difference Equations | |
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| Algebra | |
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| Factoring and Expanding Polynomials | |
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| Finding Roots of Polynomials with Solve and NSolve | |
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| Solving Equations and Inequalities with Reduce | |
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| Understanding Complex Output | |
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| Working with Rational Functions | |
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| Working with Other Expressions | |
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| Solving General Equations | |
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| Solving Difference Equations | |
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| Solving Systems of Equations | |
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| Calculus | |
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| Computing Limits | |
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| Working with Difference Quotients | |
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| The Derivative | |
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| Visualizing Derivatives | |
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| Higher Order Derivatives | |
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| Maxima and Minima | |
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| Inflection Points | |
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| Implicit Differentiation | |
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| Differential Equations | |
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| Integration | |
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| Definite and Improper Integrals | |
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| Numerical Integration | |
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| Surfaces of Revolution | |
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| Sequences and Series | |
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| Multivariable Calculus | |
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| Vectors | |
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| Real Valued Functions of Two or More Variables | |
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| Parametric Curves and Surfaces | |
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| Other Coordinate Systems | |
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| Vector Fields | |
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| Line Integrals and Surface Integrals | |
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| Linear Algebra | |
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| Matrices | |
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| Performing Gaussian Elimination | |
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| Matrix Operations | |
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| Minors and Cofactors | |
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| Working with Large Matrices | |
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| Solving Systems of Linear Equations | |
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| Vector Spaces | |
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| Eigenvalues and Eigenvectors | |
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| Visualizing Linear Transformations | |
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| Programming | |
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| Introduction | |
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| Fullform: What the Kernel Sees | |
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| Numbers | |
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| Map and Function | |
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| Control Structures and Looping | |
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| Scoping Constructs: With and Module | |
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| Iterations: Nest and Fold | |
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| Patterns | |
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| Solutions to Exercises www.studentsmathematica.com | |
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| Index | |