book

Mathematica DeMYSTiFied

by Jim Hoste

December 2008

Intermediate to advanced

408 pages

9h 43m

English

McGraw-Hill

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1.1 Starting Mathematica1.2 Entering Expressions1.3 Editing Cells1.4 Basic Arithmetic1.5 Using Previous Results1.6 Exact versus Approximate1.7 Using Functions1.8 Using Variables1.9 Using Comments1.10 Suppressing Output1.11 Aborting a Calculation1.12 Lists1.13 Palettes1.14 Saving and Printing Our Work1.15 Getting Help!1.16 Find Out MoreQuiz
2.1 The Plot Function2.2 Resizing Graphics2.3 Graphics Options2.4 Drawing Tools and the Graphic Inspector2.5 Using Epilog2.6 Mouseover Effects—Tooltip2.7 Animation—Using Manipulate2.8 Plotting Points with ListPlot2.9 Curve Fitting2.10 Plotting in Polar Coordinates2.11 Parametric Plots2.12 Drawing Shapes2.13 Saving and Printing Graphics2.14 Find Out MoreQuiz
3.1 Syntax Coloring3.2 Delimiter Matching3.3 Setting Preferences3.4 The Help Menu3.5 Writing Good Code3.6 Monitoring Calculations3.7 Getting Out of Trouble3.8 Ask an Expert3.9 Find Out MoreQuiz
4.1 Transforming Expressions4.2 Replacement Rules4.3 Working with Lists4.4 Sums and Products4.5 Matrices4.6 Find Out MoreQuiz

5.1 Defining Functions5.2 Pure Functions5.3 Elementary Programming5.4 Using Modules5.5 Find Out MoreQuiz
6.1 The Plot3D Function6.2 3D Graphics Options6.3 Surfaces of Revolution6.4 Drawing Contours or Level Sets6.5 Drawing Curves in 3-Space6.6 Drawing Graphics Primitives6.7 Find Out MoreQuiz
7.1 Limits7.2 One-Sided Limits7.3 Multivariable Limits7.4 Derivatives7.5 Minimum/Maximum Problems7.6 Series7.7 Integration7.8 Antidifferentiation7.9 Applications of Integration7.10 Find Out MoreQuiz
8.1 Polynomial Equations8.2 Systems of Polynomial Equations8.3 Systems of Linear Equations8.4 Nonpolynomial Equations8.5 Differential Equations8.6 Find Out MoreQuiz
9.1 Country Data9.2 Word Play9.3 Graphs9.4 A Glimpse of Other Data Sets9.5 Find Out MoreQuiz
10.1 Iterating a Function10.2 Graphical Analysis10.3 The Quadratic Family10.4 Julia Sets10.5 Custom Coloring10.6 Making Movies10.7 The Mandelbrot Set10.8 What Is a Fractal?10.9 Find Out MoreQuiz
11.1 Cell Styling11.2 The Option Inspector11.3 Cell Properties11.4 Using Palettes11.5 Cell Grouping11.6 Hyperlinks11.7 Adding Graphics to Notebooks11.8 Creating Slideshows11.9 Find Out MoreQuiz
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Content preview from Mathematica DeMYSTiFied

²It is not too hard to prove this. Let x be a small angle and consider the circular sector with radius 1 and central angle x. Triangle OBC has more area then the sector which in turn has more area then the triangle OAD. This gives the inequality

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Publisher Resources

ISBN: 9780071591447