Richard J. Gaylord, Samuel N. Kamin, Paul R. Wellin

An Introduction to Programming with Mathematica® (eBook, PDF)

• Format: PDF

Produktbeschreibung

Introduction to Programming with Mathematica is designed to teach Mathematica programming to scientists, engineers, mathematicians, and computer scientists so that they can fully utilize Mathematica for their work in research or education. No prior familiarity with Mathematica or programming is assumed. The text can be used either for individual study by students and professionals, or in a Mathematica-related university course.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 452
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461223221
• Artikelnr.: 44062725

Autorenporträt

Introduction to Programming with Mathematica is designed to teach Mathematica programming to scientists, engineers, mathematicians, and computer scientists so that they can fully utilize Mathematica for their work in research or education. No prior familiarity with Mathematica or programming is assumed. The text can be used either for individual study by students and professionals, or in a Mathematica-related university course.

Inhaltsangabe

1 Preliminaries.- 1.1 Introduction.- 1.2 Using Mathematica.- 1.3 The Mathematica Language.- 1.4 The Mathematica Interface.- 2 A Brief Overview of Mathematica.- 2.1 Numerical and Symbolic Computations.- 2.2 Functions.- 2.3 Graphics.- 2.4 Representation of Data.- 2.5 Programming.- 3 List Manipulation.- 3.1 Introduction.- 3.2 Creating and Measuring Lists.- 3.3 Working With the Elements of a List.- 3.4 Working with Several Lists.- 3.5 Higher-Order Functions.- 3.6 Applying Functions to Lists Repeatedly.- 3.7 Strings and Characters.- 4 Functions.- 4.1 Introduction.- 4.2 Programs as Functions.- 4.3 User-Defined Functions.- 4.4 Auxiliary Functions.- 4.5 Anonymous Functions.- 4.6 One-Liners.- 5 Evaluation of Expressions.- 5.1 Introduction.- 5.2 Creating Rewrite Rules.- 5.3 Expressions.- 5.4 Patterns.- 5.5 Term Rewriting.- 5.6 Transformation Rules.- 6 Conditional Function Definitions.- 6.1 Introduction.- 6.2 Conditional Functions.- 6.3 Example-Classifying Points.- 7 Recursion.- 7.1 Fibonacci Numbers.- 7.2 List Functions.- 7.3 Thinking Recursively.- 7.4 Recursion and Symbolic Computations.- 7.5 Gaussian Elimination.- 7.6 Trees.- 7.7 Dynamic Programming.- 7.8 Higher-Order Functions and Recursion.- 7.9 Debugging.- 8 Iteration.- 8.1 Newtons Method.- 8.2 Vectors and Matrices.- 8.3 Passing Arrays to Functions.- 8.4 Gaussian Elimination Revisited.- 9 Numerics.- 9.1 Types of Numbers.- 9.2 Random Numbers.- 9.3 Precision and Accuracy.- 9.4 Numerical Computations.- 10 Graphics Programming.- 10.1 Graphics Primitives.- 10.2 Graphics Directives and Options.- 10.3 Built-in Graphics Functions.- 10.4 Graphics Programming.- 10.5 Sound.- 11 Applications.- 11.1 The Random Walk.- 11.2 The Game of Life.- 11.3 Implementing Languages.- 12 Contexts and Packages.- 12.1 Introduction.- 12.2 UsingPackages.- 12.3 Contexts.- 12.4 Packages.- 12.5 Avoiding Name Collisions.- 12.6 The BaseConvert Package.- 12.7 The RandomWalks Package.- References.