Preface |
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xi | |
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1 | (26) |
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1.1 Launching Mathematica |
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1 | (1) |
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1.2 The Basic Technique for Using Mathematica |
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1 | (1) |
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1.3 The First Computation |
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2 | (1) |
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1.4 Commands for Basic Arithmetic |
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2 | (1) |
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3 | (1) |
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1.6 The Basic Math Assistant Palette |
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4 | (2) |
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1.7 Decimal In, Decimal Out |
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6 | (1) |
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1.8 Use Parentheses to Group Terms |
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7 | (1) |
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1.9 Three Well-Known Constants |
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8 | (1) |
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1.10 Mathematica Commands from Palettes |
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9 | (11) |
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1.11 Let Mathematica Do Your Typing |
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20 | (1) |
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21 | (1) |
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1.13 Computing with Real Data |
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22 | (1) |
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1.14 Saving Your Work and Quitting Mathematica |
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23 | (1) |
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1.15 Frequently Asked Questions About Mathematica's Syntax |
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24 | (3) |
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2 Working with Mathematica |
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27 | (24) |
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2.1 Opening Saved Notebooks |
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27 | (1) |
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2.2 Adding Text to Notebooks |
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27 | (3) |
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30 | (1) |
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2.4 Creating Presentations |
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31 | (1) |
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32 | (1) |
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32 | (2) |
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2.7 Tips for Working Effectively |
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34 | (7) |
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2.8 Working with Entities and Units |
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41 | (4) |
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2.9 Getting Help from Mathematica |
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45 | (3) |
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48 | (3) |
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3 Functions and Their Graphs |
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51 | (94) |
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51 | (2) |
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53 | (6) |
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3.3 Using Mathematical Plot Options |
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59 | (17) |
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3.4 Investigating Functions with Manipulate |
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76 | (9) |
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3.5 Producing a Table of Values |
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85 | (8) |
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3.6 Working with Piecewise Defined Functions |
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93 | (3) |
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3.7 Plotting Implicitly Defined Functions |
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96 | (4) |
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100 | (8) |
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3.9 Enhancing Your Graphics |
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108 | (8) |
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116 | (6) |
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3.11 Managing Data: An Introduction to Lists |
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122 | (4) |
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126 | (13) |
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3.13 Working with Difference Equations |
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139 | (6) |
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145 | (46) |
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4.1 Factoring and Expanding Polynomials |
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145 | (2) |
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4.2 Finding Roots of Polynomials with Solve and NSolve |
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147 | (8) |
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4.3 Solving Equations and Inequalities with Reduce |
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155 | (5) |
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4.4 Understanding Complex Output |
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160 | (8) |
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4.5 Working with Rational Functions |
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168 | (5) |
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4.6 Working with Other Expressions |
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173 | (5) |
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4.7 Solving General Equations with FindRoot |
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178 | (6) |
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4.8 Solving Difference Equations with RSolve |
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184 | (3) |
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4.9 Solving Systems of Equations and Inequalities |
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187 | (4) |
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191 | (58) |
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191 | (4) |
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5.2 Working with Difference Quotients |
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195 | (3) |
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198 | (3) |
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5.4 Visualizing Derivatives |
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201 | (1) |
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5.5 Higher-Order Derivatives |
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202 | (1) |
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203 | (8) |
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211 | (1) |
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5.8 Implicit Differentiation |
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212 | (3) |
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5.9 Differential Equations |
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215 | (3) |
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218 | (6) |
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5.11 Definite and Improper Integrals |
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224 | (10) |
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5.12 Numerical Integration |
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234 | (4) |
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5.13 Surfaces of Revolution |
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238 | (4) |
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5.14 Sequences and Series |
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242 | (7) |
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249 | (86) |
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249 | (6) |
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6.2 Real-Valued Functions of Two or More Variables |
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255 | (47) |
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6.3 Parametric Curves and Surfaces |
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302 | (9) |
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6.4 Other Coordinate Systems |
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311 | (15) |
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326 | (5) |
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6.6 Line Integrals and Surf ace Integrals |
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331 | (4) |
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335 | (1) |
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335 | (10) |
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7.2 Performing Gaussian Elimination |
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345 | (2) |
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347 | (4) |
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351 | (3) |
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7.5 Working with Large Matrices |
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353 | (4) |
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7.6 Solving Systems of Linear Equations |
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357 | (6) |
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363 | (7) |
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7.8 Eigenvalues and Eigenvectors |
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370 | (5) |
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7.9 Visualizing Linear Transformations |
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375 | (8) |
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383 | (74) |
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383 | (1) |
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8.2 FullForm: What the Kernel Sees |
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384 | (6) |
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390 | (10) |
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400 | (11) |
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8.5 Control Structures and Looping |
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411 | (10) |
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8.6 Scoping Constructs: With and Module |
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421 | (8) |
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8.7 Iterations: Nest and Fold |
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429 | (11) |
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440 | (17) |
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457 | (66) |
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457 | (1) |
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457 | (10) |
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467 | (5) |
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9.4 MeshRegions from the Wolfram Knowledgebase |
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472 | (4) |
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9.5 Mesh Assembly, Modification, and Diagnostics |
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476 | (18) |
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494 | (10) |
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9.7 Printing a Solid of Revolution |
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504 | (5) |
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9.8 Printing a 3D Terrain Map |
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509 | (14) |
Index |
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523 | |