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Basic Analysis: Introduction to Real Analysis

A free online textbook. See https://www.jirka.org/ra/

Volume I and II are both in this directory

  • realanal.tex is Volume I
  • realanal2.tex is Volume II
  • The files above are just the "driver files", the actual contents are in the files ch-???.tex
  • realanal.tex must be complied first as realanal2.tex uses the realanal.aux file
  • The file realanal12.tex does both volumes together, currently that is only used for the HTML conversion

Notes on figures:

  • All figures are in figures/ directory for both volumes.
  • Many figures in figures/ are epix figures (files ending in .xp), and there are two scripts run-xp-topdf.sh and run-all-xp.sh that compile the figures. If you modify fonts or font sizes and want to rerun the figures, make sure to have epix installed, modify run-xp-topdf.sh and then run ./run-all-xp.sh in the figures/ directory
  • The other type of figures were created with xfig (files ending in .fig), and then exported to PDF/LaTeX which generates a .pdf_t file that is just included in the latex file and contains all text, and a .pdf file which contains the graphics. You need xfig to edit these, then export to "Combined PDF/LaTeX (both parts)"

Slides:

  • Some slides are in the slides/ directory. Not a complete set (yet?).

Work in progress stuff:

  • wip/realanal3.tex is an unfinished set of topics possibly to just add to Volume II
  • similarly wip/extras.tex and wip/stieltjes.tex wip/green.tex

On the scripts:

  • publish.sh compiles the volume I file to pdf
  • publish2.sh compiles the volume II file to pdf
  • resizetocrownquatro.sh resize a PDF to crown quatro size using ghostscript
  • convert-to-mbx.sh (runs convert-to-mbx.pl) does the conversion to HTML through PreTeXt, this is the only place that realanal12.tex is currently used.

Note: The tex sources require a somewhat recent LaTeX. If your latex does not have a recent enough ocgx2 package, you can simply comment out that line in the preamble. Another is the glossaries, which used to have a bug with sorting. If you are getting undefined errors while compiling, take out the "sort=use" option from the glossaries package.