Mathematica as a Tool: An Introduction with Practical Examples - Brossura

Kaufmann, Stephan

Brossura

ISBN 10: 3764350318 ISBN 13: 9783764350314

Casa editrice: Springer, 2013

Riassunto

Mathematica combines symbolic and numerical calculations, plots, graphics programming, list calculations and structured documentation into an interactive environment. This book covers the program and shows with practical examples how even more complex problems can be solved with just a few commands.

From the reviews: "A valuable introductory textbook on Mathematica and is very useful to scientists and engineers who use Mathematica in their work." -- ZENTRALBLATT MATH

Su questo libro

Recensione

"Provides engineers, scientists, and applied mathematicians with a compact introduction to Mathematica, a software program combining computer algebra, graphics, animations, an elegant programming language, and numerical tools. Helps readers gain the skills necessary to use the program as a tool in their work."
-- Journal of Economic Literature

"This book is a valuable introductory textbook on Mathematica and is very useful to scientists and engineers who use Mathematica in their work."
-- Zentralblatt Math

"This book is very nicely written and recommended to everybody."
-- EMS Newsletter

Contenuti

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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 3764350318
• ISBN 13: 9783764350314
• Rilegatura: Copertina flessibile
• Numero di pagine: 448
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile