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Mathematica as a tool : an introduction with practical examples

Author: Stephan Kaufmann
Publisher: Basel ; Boston : Birkhäuser, ©1994.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Mathematica combines symbolic and numerical calculations, plots, graphics programming, list calculations and structured documentation into an interactive environment. This book covers the program and  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Stephan Kaufmann
ISBN: 3764350318 9783764350314 0817650318 9780817650315
OCLC Number: 31045428
Description: ix, iv, 429 pages : illustrations (some color) ; 24 cm
Contents: 1. Basics.- 1.1 Getting Started.- 1.1.1 Starting and Quitting.- 1.1.2 Interrupting and Quitting.- 1.2 Help!.- 1.3 Numerical Calculations.- 1.3.1 Simple Examples.- 1.3.2 External Packages: Units.- 1.3.3 Large Numbers: The RSA Public-Key Cryptosystem.- 1.4 Symbolic Calculations.- 1.4.1 Polynomials.- 1.4.2 Equations.- 1.4.3 Calculus.- 1.5 Plots: Different Pendulums.- 1.5.1 Two-Dimensional Plots.- 1.5.2 Example: The Triple Pendulum.- 1.5.3 Three-Dimensional Graphics and Animation: A Rotating Double Pendulum.- 1.5.4 Parametric Plots: A Rotating Double Pendulum.- 1.5.5 Plotting Data: The Random Generator.- 1.6 Lists.- 1.6.1 Creating and Formatting Lists.- 1.6.2 Calculations with Lists, Pure Functions.- 1.6.3 List Manipulation: The Cross Product.- 1.6.4 Vectors, Matrices, Tensors: The Jacobian.- 1.6.5 Eigenvectors and Eigenvalues: An Oscillator.- 1.7 Graphics Programming.- 1.7.1 The Structure of Graphics.- 1.7.2 Example: Animation of the Triple Pendulum.- 1.7.3 Example: The Oscillator.- 1.8 More Selected Tools.- 1.8.1 Graphics and Sound.- 1.8.2 Complex Numbers.- 1.8.3 Sums, Products, Series.- 1.8.4 Data Analysis,Interpolation.- 1.8.5 Transformations.- 1.8.6 Mathematical Functions.- 1.8.7 Polynomials.- 1.8.8 Linear Algebra, Linear Programming.- 1.8.9 File Manipulation.- 1.8.10 Custom Configuration.- 1.8.11 Resources.- 2. Structure.- 2.1 Expressions.- 2.1.1 The Structure of Expressions.- 2.1.2 Working with Parts of Expressions.- 2.2 Patterns.- 2.2.1 Simple Patterns.- 2.2.2 Restricted Patterns.- 2.2.3 More Complicated Patterns.- 2.2.4 Example: A Simple Integrator.- 2.3 Transformation Rules and Definitions.- 2.3.1 Transformation Rules.- 2.3.2 Definitions.- 2.3.3 Attributes.- 2.4 Evaluation and Tools for Programming.- 2.4.1 Standard Evaluation.- 2.4.2 Special Evaluation.- 2.4.3 Conditionals, Loops, and Control Structures.- 2.5 Modularity.- 2.5.1 Local Variables and Constants.- 2.5.2 Contexts and Packages.- 2.6 Strings, Text, Messages.- 2.6.1 Printing Text.- 2.6.2 Arranging Text.- 2.6.3 Built-in Formats.- 2.6.4 Formats for Numbers.- 2.6.5 Subscripts and Superscripts.- 2.6.6 Custom Formats.- 2.6.7 Strings.- 2.6.8 Messages.- 3. Programming.- 3.1 Programming Methodologies.- 3.1.1 Procedural Programming.- 3.1.2 Recursive Programming.- 3.1.3 Functional Programming.- 3.1.4 Rule-Based Programming.- 3.1.5 Programming with Constraint-Propagation.- 3.1.6 Data Types, Object-Oriented Programming.- 3.2 Developing Programs.- 3.2.1 Debugging.- 3.2.2 Example: NonNegativeQ?.- 3.2.3 Example: AbsArg?.- 3.2.4 Example: RSA?.- 3.2.5 Example: Perturbation?.- 3.3 Numerics.- 3.3.1 Compiling Expressions: Fractals.- 3.3.2 Precision and Accuracy.- 3.3.3 Controlling Numerical Built-in Functions.- 3.4 Long Calculations: RSA.- 3.4.1 Primes for RSA.- 3.4.2 Saving Results in a File.- 3.4.3 External Programs, Calculations in the Background.- References.
Other Titles: Mathematica als Werkzeug.
Responsibility: Stephan Kaufmann.
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"Provides engineers, scientists, and applied mathematicians with a compact introduction to Mathematica, a software program combining computer algebra, graphics, animations, an elegant programming Read more...

 
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