
Notes on the August 94 Maple linalg accompaniment to the second
edition of the text

	`Elementary Linear Algebra with Applications' (Second Edition)
		by R.O. Hill Jr (Harcourt Brace Jovanovitch, 1991.)

See % comments in Hill.tex for more details.


1. How to create the notes (and accompanying Maple code)
--------------------------------------------------------

1)  Copy the file  HillTransfer  to your own machine and then:
uudecode HillTransfer
uncompress Hill.tar.Z
tar -xvf Hill.tar

Your directory should then contain the files:

Hill.tex	Hill0.tex	Hill1.tex	Hill2.tex	Hill3.tex
Hill4.tex	Hill5.tex	Hill6.tex	HillIndex.tex
Hill0.mpl	Hill1.mpl	Hill2.mpl	Hill3.mpl
Hill4.mpl	Hill5.mpl	Hill6.mpl

and the number of lines in the *.tex files (wc -l *.tex) should be:

      62 Hill.tex
     750 Hill0.tex
     883 Hill1.tex
     334 Hill2.tex
     710 Hill3.tex
     788 Hill4.tex
     964 Hill5.tex
     431 Hill6.tex
      67 HillIndex.tex
    4989 total

2)  When it looks like this,
latex Hill
will (done twice) produce the notes for Hill's text.

The whole document, when printed, should have an initial xi  pages.
Chapter 1 then starts at page 1 and the notes end with the Index
(of Maple commands) on page 70.
This means a total of 81 pages in all.

CAUTION. The notes have been written for printing on A4 sized paper.
If you want another size, you may wish to change some of the page
breaks.  However, if you do, you will need to recreate the index.

The files *.mpl contain the Maple code for the corresponding chapter
of the notes and can be read into Maple in the usual way,  e.g. in maple
> read(`Hill0.mpl`);


2. Variations in Maple V Releases 1,2,3
---------------------------------------

These notes were written by R. James for a 2nd year undergraduate
class which in 1993 and 1994 used Maple V (Release 1) in their
computing laboratory, and which uses the above edition of Hill.
However, the Maple code has been designed to take later releases into
account.  Apart from the avoidance of all reserved words and the term
`range' as an alternative to colspace, the following need to be noted:

# In Release 1,  _t[1]  was just  t1 for the command linsolve. - Hill1
# Maple V (from Release 2 on) has a  Wronskian  command: - Hill2
define( Linear(T) );    # Maple V Release 3 version	)
define( linear(T) );    # prior to Release 3		(
							 - Hill4
regression           # Maple V Release 1 or 2,		(
fit[leastsquares]    # Maple V Release 3,		)
singularvals(A); # before Release 3, Maple did not simplify this - Hill6

These notes can be customised by lecturers to suit their own version
of Maple: see Copyright Notice on the first page of the notes.
***********************************************************************
* REMEMBER THAT THESE NOTES ARE AN ACCOMPANIMENT TO HILL'S TEXT.
* THEY ARE TOTALLY USELESS FOR CLASS USE (AND YOU VIOLATE THE COPYRIGHT
* WHEN USING THEM) IF THE CLASS IS NOT WORKING WITH THAT TEXT.
***********************************************************************


3. KNOWN ERRORS
---------------

None known (as at August 94).

However there has been some concern expressed about the procedure
housetrans    (in section 4.6).


4. Permission from Harcourt Brace
---------------------------------

Permission to post this document to the share library was given,
on was granted on 18 July 1994,  by Jay Ricci, Executive Editor
of Saunder College Publishing, Philadelphia
(in association with Harcourt Brace).
Their Fax number is  215-238-5660
Users of the document must abide by the Copyright statement on
its front page.


5. Background Information.
--------------------------

This document forms part of a series of linalg accompaniments to Linear
Algebra texts inaugurated by Grant Keady of the University of
Western Australia. For more information concerning this series, see
  "Using Maple's linalg package with Anton `Elementary Linear Algebra`"
    by G.Keady,
the current version (July 1994) of which is available by anonymous ftp from
130.95.16.1
in directory  pub/anton
More details on this series are available by contacting Grant Keady at
keady@maths.uwa.edu.au

CO-AUTHORS ARE SOUGHT, ESPECIALLY FROM ANYONE USING HILL'S TEXT,
TO ENSURE THAT THE NOTES ARE IMPROVED AND DEVELOPED THROUGH FUTURE
EDITIONS OF THE TEXT AND FOR FUTURE VERSIONS OF MAPLE.

All comments and enquiries about these notes should be sent to the author
R. James
School of Mathematics
University of New South Wales
Kensington 2033
Australia
    or
rod@solution.maths.unsw.edu.au

