Mathematica: Functional and procedural programming

Software presented in the book contains a number of useful and effective receptions of the procedural and functional programming in Mathematica that extend the system software and allow sometimes much more efficiently and easily to program the software for various purposes. Among them there are means that are of interest from the point of view of including of their or their analogs in Mathematica, at the same time they use approaches, rather useful in programming of various applications. In addition, it must be kept in mind that the classification of the presented tools by their appointment in a certain measure has a rather conditional character because these tools can be crossed substantially among themselves by the functionality. The freeware package MathToolBox containing more 1420 tools is attached to the present book. The MathToolBox not only contains a number of useful procedures and functions, but can serve as a rather useful collection of programming examples using both standar

• Math
• Science

								
Introduction
Chapter 1: The user functions in Mathematica
1.1. The user functions, defined intuitively
1.2. The user pure functions
1.3. Some useful tools for work with the user functions
Chapter 2: The user procedures in Mathematica
2.1. Definition of procedures in Mathematica software
2.2. Headings of procedures
2.3. Optional arguments of procedures and functions
2.4. Local variables in Mathematica procedures
2.5. Exit mechanisms of the user procedures
2.6. Tools for testing of procedures and functions
2.7. The nested blocks and modules
Chapter 3: Programming tools of the user procedure body
3.1. Branching control structures in the Mathematica
  * Conditional branching structures
  * Unconditional transitions
3.2. Cyclic control structures in the Mathematica
3.3. Some special types of cyclic control structures in Mathematica system
3.4. Mathematica tools for string expressions
  * Replacements and extractions in strings
  * Sub-strings processing in strings
  * Expressions containing in strings
3.5. Mathematica tools for lists processing
3.6. Additional tools for the Mathematica
3.7. Attributes of procedures and functions
3.8. Additional tools expanding the built-in Mathematica functions, or its software as a whole
3.9. Certain additional tools of expressions processing in the Mathematica software
  * Tools of testing of correctness of expressions
  * Expressions processing at level of their components
  * Replacement sub-expressions in expressions
  * Expressions in strings
Chapter 4: Software for input-output in Mathematica
4.1. Tools of Mathematica for work with internal files
4.2. Tools of Mathematica for work with external files
4.3. Tools of Mathematica for attributes processing of directories and data files
4.4. Additional tools for files and directories processing of file system of the computer
4.5. Special tools for files and directories processing
Chapter 5: Organization of the user software
5.1. MathToolBox package for Mathematica system
5.2. Operating with the user packages in Mathematica
  * The concept of context in Mathematica
  * Interconnection of contexts and packages
5.3. Additional tools of operating with user packages
References
About the authors
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