Table of contents
1: Practical Introduction to Mathematica
1.1 Running Mathematica
1.2 Numerical Calculation
1.3 Building Up Calculations
1.4 Using the Mathematica System
1.5 Algebraic Calculation
1.6 Symbolic Mathematics
1.7 Numerical Mathematics
1.8 Functions and Programs
2: Principles of Mathematica
2.1 Expressions
2.2 Functional Operations
2.3 Patterns
2.4 Transformation Rules and Definitions
3: Evaluation of Expressions
3.1 Modularity and the Naming of Things
3.2 Strings and Characters
3.3 Textual Input and Output
3.4 The Structure of Graphics and Sound
3.5 Manipulating Notebooks
3.6 Files and Streams
3.7 Math Link and External Program Communication
3.8 Global Aspects of Mathematica Sessions
4: Advanced Mathematics in Mathematica
4.1 Numbers
4.2 Mathematical Functions
4.3 Algebraic Manipulation
4.4 Manipulating Equations
4.5 Calculus
4.6 Series, Limits, and Residues
4.7 Linear Algebra
4.8 Numerical Operations on Data
4.9 Numerical Operations on Functions
4.10 Mathematical and Other Notation Formula Gallery
To conclude; This course provides a comprehensive overview of Mathematica, equipping you with the tools to perform complex mathematical operations and analyses. Mastering these principles will enhance your ability to tackle diverse mathematical problems efficiently.
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