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It should be valid for -1.0.5 - and maxima-5.9.2. - - Let's start . We shall use the package : - - - - This is not strictly necessary, but interactive sessions look nicer with - it. We shall also use : - - - - Now we shall start one of the versions of maxima installed: - - - - Also we shall tick : - - - - If you click the icon looking like ``?'' on the toolbar, will - show the maxima manual: - - - - It is convenient to clone the window: - - - - Then, in one of the windows you return to the buffer which contains the - maxima session (in this case, this buffer is called ): - - - - In the other window, you can read the manual. Blue texts are hyperlink; - clicking them displays the corresponding sections of the manual. - - Everything is ready for doing calculations. Usual methematical notations - can be used for input expressions to a large extent. Don't forget to use - for multiplication; it is not visible, just produces a little - space. Powers are produced using the toolbar or ; fractions -- by - the toolbar or ; square roots -- by the toolbar or ; - large (automatically resizable) brackets -- by (note that with - our settings this produces both the opening bracket and the closing one, - and the cursor is left between them). You can use greek letters. For - example, > can be produced via the toolbar, by - (see help for the meaning of the modifier hyper), or by . > means the - >-function; > means ... what - would you think? ... >; > - means the Euler constant; > means the Riemann - >-function. - - - - The integral sign is produced via the toolbar or by . If it has - limits, it means a definite integral, otherwise indefinite. Then you write - your integrand, then a space, the differential sign (produced by ), a space, and your integration variable. The form of the result often - depends on parameters; in such cases, maxima asks questions. If you don't - want such interactive queries, you can provide the relevant information - beforehand. - - - - You can select some (part of) an output field with the mouse: - - - - Then click on an input line, and click with the middle mouse button. The - selected expression is inserted. You can edit it and execute. - - - - It is also possible to go to an earlier input line, edit it and press - . The old output below this line will be replaced by the new - one. This is very useful during the first stage of your work, when you - investigate various possible approaches. Using this method too often leads - to a spaghetti-like set of input and output lines, which is difficult to - understand; it is even difficult to reproduce your calculation later. - - Here are some definite integrals. The base of natural logarithms - > is produced via the toolbar or by , and the infinity symbol -- via the toolbar or by . - - - - Sums are similar to integrals. In addition to sums with a lower limit and - an upper one, maxima understands sums with a lower limit like - [a,b,c]>, where the symbol > - is produced by . Products are also similar. Binomial - coefficients are produced by . They look like - matrices, but differ from them! Therefore, don't try to create them via the - toolbar menu for matrices and other kinds of tables. - - - - Note a subtle point: the integral sign (or the sum or product sign) is - considered as a kind of an ``opening bracket'', and there is the - corresponding ``closing bracket'', which is invisible, but it shows where - your integral ends. You can see it in the mode as . With out setting of - , it is - automatically produced after the integral sign when you input it; if you - don't use this mode, you can produce it by . - - - - Maxima understands matrices and determinants. They are produced via the - toolbar. New columns and rows are inserted by , , - , . The imaginary unit > is - produced via the toolbar or by . - - - - - - You can inserted some text explaining an input line. To this end, placing - the cursor on this input line, select from the - toolbar menu: - - - - Naturally, this explanation text can be as long as you need, and it can - contain mathematical formulae. - - - - And here is a determinant. - - - - - - Maxima can solve equations and systems of equations. It returns the list of - solutions. - - - - Here we define and plot the function > - where +y>>. - - - - The plot appears in a separate gnuplot window: - - - - Here we define a recursive function and trace its execution. - - - - You can create a ``sub-session'' within the maxima session. With the cursor - on an input line, select from the toolbar menu: - - - - A sub-session appears; you can edit its title: - - - - You can work within this sub-session; it has its own current input line. - - - - If you dowble-click on the left bar of the sub-session, it gets folded: - - - - Now only its title is visible. This is convenient for long sub-calculations - of your project: you can fold them all, and see only the skeleton of your - calculation. Sub-sessions can be nested. You can unfold them by - double-clicking once more. - - Finally, we quit maxima: - - - - If you give a presentation, it is convenient to select from the toolbar menu:\ - - - - All output lines disappear. - - - - It suffices to press on an input line, and maxima will be - re-started. The results will be produced in the presence of your audience, - just by pressing many times. - - - - Of course, you can save your work as a .tm file. Next time you start - to edit this file, just press at the first input line - to re-start maxima. - - -<\initial> - <\collection> - - - \ No newline at end of file