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发信人: physics (致命的异常错误发生在 0BB4:2BAD), 信区: MathTools
标题: Mathematicaa教程(1)
发信站: BBS 水木清华站 (Wed Nov 4 21:40:58 1998)

发信人: space (排骨教主), 信区: physics
标　题: mathematica 教程(1)
发信站: BBS 曙光站 (Wed Jun 10 13:36:07 1998)

Programming Paradigms via Mathematica: Table of Contents

Chapter I. Introduction to Mathematica and to Programming

1. Arithmetic: Syntax, Data Types, Operators, and Expressions

Data types, arithmetic types (integers, real numbers), boolean values,
operators,
operator precedence, and expressions

2. Course Goals and Themes

Mathematica as an interpreted language, source code, tradeoffs, algorithms,
dynamic programming, Newton's method, NSolve, FindRoot

3. Defining Variables and Functions

Cell styles and groups; Set, SetDelayed, and Equal; formal and actual
parameters;
incrementing and decrementing variables

Chapter II. List-Based Programming

4. Introduction to Lists and Using Programming Principles

Bottom-up and top-down programming, simulating a student roster;　
Table, Range, Sum, Show, Union

5. Lists I:　Definitions and Examples

Four programming paradigms, examples of lists used in recursion and iteration;
　
Length, Part, Position, Map, Reverse, Transpose

6. Lists II: Iterators and List Handlers

Iterators;　list-generating functions (List, Table, Range),　
list-extracting functions (Part, Take, Drop), ``Verb" vs.~``Adverb" Functions
(Sum vs.~Apply)

7. Lists III: Repetition with Lists

Repetition with feedback, repetition without feedback; Nest, Fold

8. Strings; Strings as Lists

Data types, ASCII codes, special characters, string functions,
strings as lists, converting numeric strings into numbers

Chapter III. Structured Programming:　Local, Global, and Anonymous Names

9. Modules

Organization, side effects, constants vs.~variables, nesting, scope I

10. Anonymous Functions

Anonymous functions, compilation II, comparison with ``inline" functions in
C,
using modules vs.~anonymous functions; Select, First, Last, Q functions

Chapter IV. Pattern Matching in Symbolic Programming

11. Pattern Matching and Conditional Evaluation

Pattern matching, multi-clause definition, conditional evaluation, examples
in data type checking and step functions, structured patterns I

12. Structured Patterns

Structured patterns II, patterns with conditions, multipart arguments and
record, optional
arguments

13. Reprise: Syntax and Data Types

Reading code, operator associativity, machine- vs.~arbitrary-precision

Chapter V. Conditional and Recursive Programming

14. Conditional Structures

Controlling execution without patterns; If, Which, Switch

15. Review I

16. Recursion I: Passing the Buck

Recursion, examples of recursion, nonexamples of recursion

17. Recursion II: Examples and Dynamic Programming

Dynamic programming, tradeoffs of time vs.~space, examples

Chapter VI. Iteration in Procedural Programming

18. Iterative Loops I:　While

Iterative loops, error handling, pitfalls, short-circuit evaluation; While

19. Iterative Loops II: Do, For

Do, For; when to use which iterative structure, examples

20. Arrays and Matrices

Arrays, sizes, initialization, modification

Chapter VII. Technical Programming Concepts

21. Function Calls

Call by value, by reference, tradeoffs of time vs.~space II; HoldAll,
HoldFirst

22. Compilation

Compilation III, actual storage data types; Compile, Timing

23. Contexts and Packages

Scope II, default and special contexts, long forms of names

24. Object-Oriented Programming

Basic ideas of OOP, public vs.~private, example of a grade manager

25. Files and Representations of Data

Files, file commands, checking that file is appropriate

Chapter VIII. Toward Other Languages

26. The C Language

Data types, declarations, definitions, control structures, reading C

Chapter IX. Special Topics

27. Fits and Graphics

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