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Index
Cover image
Title page
Table of Contents
Copyright
Preface
Chapter 1: Getting Started
Abstract
1.1. Introduction to Mathematica
1.2. Getting Help from Mathematica
Chapter 2: Basic Operations on Numbers, Expressions, and Functions
Abstract
2.1. Numerical Calculations and Built-In Functions
2.2. Expressions and Functions: Elementary Algebra
2.3. Graphing Functions, Expressions, and Equations
2.4. Solving Equations
Bibliography
Chapter 3: Calculus
Abstract
3.1. Limits and Continuity
3.2. Differential Calculus
3.3. Integral Calculus
3.4. Infinite Sequences and Series
3.5. Multi-Variable Calculus
Chapter 4: Introduction to Lists and Tables
Abstract
4.1. Lists and List Operations
4.2. Manipulating Lists: More on Part and Map
4.3. Other Applications
Bibliography
Chapter 5: Matrices and Vectors: Topics from Linear Algebra and Vector Calculus
Abstract
5.1. Nested Lists: Introduction to Matrices, Vectors, and Matrix Operations
5.2. Linear Systems of Equations
5.3. Selected Topics from Linear Algebra
5.4. Maxima and Minima Using Linear Programming
5.5. Selected Topics from Vector Calculus
5.6. Matrices and Graphics
Bibliography
Chapter 6: Applications Related to Ordinary and Partial Differential Equations
Abstract
6.1. First-Order Differential Equations
6.2. Second-Order Linear Equations
6.3. Higher-Order Linear Equations
6.4. Systems of Equations
6.5. Some Partial Differential Equations
Bibliography
Bibliography
Index
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