Software Etudes in the Mathematica

Systems of computer mathematics find more and more broad use in a number of natural, economical and social fields. One of leaders among means of this class undoubtedly is the Mathematica system. The book focuses on an important aspect – procedural and functional programming supported by the Mathematica. This aspect is of particular importance not only for appendices but also above all it is quite important in the creation of the user means which extend the most frequently used standard means of the Mathematica system and/or eliminate its shortcomings, or complement with the new interesting facilities. The present book contains over 1150 software etudes not only which are illustrating effective methods of programming in Mathematica system and many subtleties and undocumented opportunities of its software, but also being of undoubted interest as the means expanding and supplementing the system means. In a certain historical context etudes have appeared as a result of development of the n

• Math
• Science

								
Preface
Chapter 1. Additional tools in interactive mode of the Mathematica
Chapter 2. Additional tools of processing of expressions in the Mathematica software
Chapter 3. Additional tools of processing of symbols and strings in the Mathematica
3.1. Operations on strings
3.2. Expressions containing in strings
3.3. Replacements and extractions in strings
3.4. Operating of substrings in strings
3.5. Tools of string processing that are rather useful for certain applications
Chapter 4. Additional tools of processing of sequences and lists in the Mathematica
4.1. Additional tools for computer research of cellular automata
Chapter 5. The additional tools expanding the standard Mathematica functions, or its software as a whole
5.1. The control branching structures and loop structures in the Mathematica
5.2. The loop control structures of the Mathematica system
Chapter 6. Problems of procedural programming in the Mathematica
6.1. Definition of procedures in the Mathematica software
6.2. Definition of the user functions and pure functions in software of the Mathematica
6.3. Tools for testing of procedures and functions in the Mathematica system
6.4. Headings of the user procedures and functions in the Mathematica system
6.5. Formal arguments of procedures and functions; the tools of their processing in the Mathematica software
6.6. Local variables of modules and blocks; the means of manipulation by them in the Mathematica software
6.7. Global variables of modules and blocks; the tools of manipulation by them in the Mathematica software
6.8. Attributes, options and values by default for the arguments of the user blocks, functions and modules; additional tools of their processing in the Mathematica system
6.9. Some additional facilities for operating with blocks, functions and modules in the Mathematica software
Chapter 7. Software for input–output in the Mathematica system
7.1. Tools of the Mathematica system for working with internal files
7.2. Tools of the Mathematica system for working with external files
7.3. Tools of the Mathematica system for processing of attributes of directories and files
7.4. Additional tools for processing of datafiles and directories
7.5. Certain special tools for processing of datafiles and directories
Chapter 8. The manipulations organization with the user packages in the Mathematica
8.1. Concept of the context, and its use in the software of the Mathematica
8.1.1. Interconnection of contexts and packages in the software of the Mathematica
8.2. Definition of the user packages, and their usage in the Mathematica
8.3. Additional tools for manipulating with the user packages in the Mathematica
8.4. The organization of the user software in the Mathematica system
8.5. A MathToolBox package for the Mathematica system
References
About the Authors
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