The student's introduction to Mathematica : a handbook for precalculus, calculus, and linear algebra /
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| Author / Creator: | Torrence, Bruce F. (Bruce Follett), 1963- |
|---|---|
| Edition: | 2nd ed. |
| Imprint: | Cambridge ; New York : Cambridge University Press, c2009. |
| Description: | xi, 471 p. : ill. |
| Language: | English |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8208761 |
Table of Contents:
- Preface
- 1. Getting Started
- Launching Mathematica
- The Basic Technique for Using Mathematica
- The First Computation
- Commands for Basic Arithmetic
- Input and Output
- The BasicMathInput Palette
- Decimal In, Decimal Out
- Use Parentheses to Group Terms
- Three Well-Known Constants
- Typing Commands in Mathematica
- Saving Your Work and Quitting Mathematica
- Frequently Asked Questions About Mathematica's Syntax
- 2. Working with Mathematica
- Opening Saved Notebooks
- Adding Text to Notebooks
- Printing
- Creating Slide Shows
- Creating Web Pages
- Converting a Notebook to Another Format
- Mathematica's Kernel
- Tips for Working Effectively
- Getting Help from Mathematica
- Loading Packages
- Troubleshooting
- 3. Functions and Their Graphs
- Defining a Function
- Plotting a Function
- Using Mathematica's Plot Options
- Investigating Functions with Manipulate
- Producing a Table of Values
- Working with Piecewise Defined Functions
- Plotting Implicitly Defined Functions
- Combining Graphics
- Enhancing Your Graphics
- Working with Data
- Managing Data-An Introduction to Lists
- Importing Data
- Working with Difference Equations
- 4. Algebra
- Factoring and Expanding Polynomials
- Finding Roots of Polynomials with Solve and NSolve
- Solving Equations and Inequalities with Reduce
- Understanding Complex Output
- Working with Rational Functions
- Working with Other Expressions
- Solving General Equations
- Solving Difference Equations
- Solving Systems of Equations
- 5. Calculus
- Computing Limits
- Working with Difference Quotients
- The Derivative
- Visualizing Derivatives
- Higher Order Derivatives
- Maxima and Minima
- Inflection Points
- Implicit Differentiation
- Differential Equations
- Integration
- Definite and Improper Integrals
- Numerical Integration
- Surfaces of Revolution
- Sequences and Series
- 6. Multivariable Calculus
- Vectors
- Real Valued Functions of Two or More Variables
- Parametric Curves and Surfaces
- Other Coordinate Systems
- Vector Fields
- Line Integrals and Surface Integrals
- 7. Linear Algebra
- Matrices
- Performing Gaussian Elimination
- Matrix Operations
- Minors and Cofactors
- Working with Large Matrices
- Solving Systems of Linear Equations
- Vector Spaces
- Eigenvalues and Eigenvectors
- Visualizing Linear Transformations
- 8. Programming
- Introduction
- Fullform: What the Kernel Sees
- Numbers
- Map and Function
- Control Structures and Looping
- Scoping Constructs: With and Module
- Iterations: Nest and Fold
- Patterns
- Solutions to Exercises www.studentsmathematica.com
- Index