Confusing Textbooks? Missed Lectures? Tough Test Questions? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.
Author(s): Eugene Don
Edition: 1
Publisher: McGraw-Hill
Year: 2000
Language: English
Pages: 350
Theory and Problems of Mathematica......Page 1
Contents......Page 7
1.1. Notation & Conventions......Page 9
1.2. The Kernel & the Front End......Page 10
1.3. Mathematica Quirks......Page 13
1.4. Mathematica Gives Exact Answers......Page 14
1.5. Mathematica Basics......Page 15
1.6. Cells......Page 20
1.7. Getting Help......Page 21
1.8. Packages......Page 26
1.9. A Preview of What's to Come......Page 28
2.1. Constants......Page 32
2.2. "Built-In" Functions......Page 33
2.3. Basic Arithmetic Operations......Page 46
2.4. Strings......Page 47
2.5. Assignment, Replacement, & Logical Relations......Page 49
2.6. Sums & Products......Page 52
2.7. Loops......Page 57
2.8. Introduction to Graphing......Page 60
2.9. User-Defined Functions......Page 62
2.10. Operations on Functions......Page 66
2.11. Modules......Page 69
3.1. Introduction......Page 72
3.2. Generating Lists......Page 73
3.3. List Manipulation......Page 77
3.4. Set Theory......Page 85
3.5. Tables & Matrices......Page 88
4.1. Plotting Functions of a Single Variable......Page 99
4.2. Additional Graphics Commands......Page 116
4.3. Special Two-Dimensional Plots......Page 125
4.4. Animation......Page 133
5.1. Plotting Functions of Two Variables......Page 136
5.2. Other Graphics Commands......Page 149
5.3. Special Three-Dimensional Plots......Page 157
5.4. Standard Shapes -- 3D Graphics Primitives......Page 163
6.1. Solving Algebraic Equations......Page 170
6.2. Solving Transcendental Equations......Page 178
7.1. Polynomials......Page 187
7.2. Rational & Algebraic Functions......Page 193
7.3. Trigonometric Functions......Page 197
7.4. The Art of Simplification......Page 201
8.1. Limits......Page 203
8.2. Derivatives......Page 206
8.3. Maximum & Minimum Values......Page 213
8.4. Power Series......Page 220
9.1. Antiderivatives......Page 227
9.2. Definite Integrals......Page 229
9.3. Functions Defined by Integrals......Page 235
9.4. Riemann Sums......Page 242
10.1. Partial Derivatives......Page 247
10.2. Maximum & Minimum Values......Page 251
10.3. The Total Differential......Page 257
10.4. Multiple Integrals......Page 259
11.1. Analytical Solutions......Page 269
11.2. Numerical Solutions......Page 282
11.3. Laplace Transforms......Page 286
12.1 Vectors & matrices......Page 296
12.2. Matrix Operations......Page 301
12.3. Matrix Manipulation......Page 310
12.4. Linear Systems of Equations......Page 315
12.5. Orthogonality......Page 324
12.6. Eigenvalues & Eigenvectors......Page 328
12.7. Diagonalization & Jordan Canonical Form......Page 332
A.1. Pure Functions......Page 339
A.2. Contexts......Page 340
A.3. Patterns......Page 342
Index......Page 345
