file mbe1toc.txt  contains the table of contents
   for Maxima by Example, Chapter 1,
   Introduction to Maxima.

    Edwin L Woollett, Aug. 11, 2009
    woollett@charter.net
    http://www.csulb.edu/~woollett



1.1  What is Maxima? -3

1.2  Which Maxima Interface Should You Use?  -4

1.3  Using the wxMaxima Interface  -4

  1.3.1  Rational Simplification with ratsimp and fullratsimp

1.4  Using the Xmaxima Interface  -11

1.5  Creating and Using a Startup File: maxima-init.mac  -16

1.6  Maxima Expressions, Numbers, Operators, Constants, and Reserved Words  -18

1.7  Input and Output Examples  -20

1.8  Maxima Power Tools at Work  -21

  1.8.1 The Functions apropos and describe -21

  1.8.2 The Function ev and the Properties evflag and evfun  -22

  1.8.3 The List functions and the Function fundef  -24

  1.8.4 The Function kill and the List values  -25

  1.8.5 Examples of map, fullmap, apply, grind, and args  -25

  1.8.6 Examples of subst, ratsubst, part, and substpart  -26

  1.8.7 Examples of coeff, ratcoef, and collectterms  -28

  1.8.8 Examples of rat, diff, ratdiff, ratexpand, expand, factor, gfactor, and partfrac  -30

  1.8.9 Examples of integrate, assume, facts and forget  -33

  1.8.10 Numerical Integration and Evaluation: float, bfloat, and quad_qags  -34

  1.8.11 Taylor and Laurent Series Expansion with taylor  -35

  1.8.12 Solving Equations: solve, allroots, realroots, and find_root  -37

  1.8.13 Non-Rational Simplification: radcan, logcontract, rootscontract, and radexpand  -42

  1.8.14 Trigonometric Simplification: trigsimp, trigexpand, trigreduce, and trigrat  -44

  1.8.15 Complex Expressions: rectform, demoivre, realpart, imagpart, and exponentialize  -46

  1.8.16 Are Two Expressions Numerically Equivalent? zeroequiv  -46

1.9  User Defined Maxima Functions: define, fundef, block, and local  -47

  1.9.1 A Function Which Takes a Derivative  -47
  
  1.9.2 Lambda Expressions  -50
  
  1.9.3 Recursive Functions; factorial and trace  -50
  
  1.9.4 Non-Recursive Subscripted Functions (Hashed Arrays)  -51
  
  1.9.5 Recursive Hashed Arrays and Memoizing  -52
  
  1.9.6 Recursive Subscripted Maxima Functions  -53
  
  1.9.7 Floating Point Numbers from a Maxima Function  -53
  
1.10  Pulling Out Overall Factors from an Expression  -55

1.11  Construction and Use of a Test Suite File  -56

1.12  History of Maxima's Development  -57