Web Directory

» Applied Analysis
   Textbook by John Hunter and Bruno Nachtergaele. Standard topics in analysis presented in a rigorous but practical manner. In PDF files by chapters.
   http://www.math.ucdavis.edu/~hunter/book/pdfbook.html

» Companion Notes for Rudin's "Principles of Mathematical Analysis"
   Notes to meant to accompany Rudin's "Principles of Mathematical Analysis." Detailed enough for self-study, with or without the book.
   http://www.math.ucdavis.edu/~emsilvia/math127/math127.html

» Complex Variables
   By Robert Ash and W.P. Novinger. Complete text in PDF.
   http://www.math.uiuc.edu/~r-ash/CV.html

» Front for the Mathematics ArXiv
   Classical Analysis papers and preprints available in pdf, ps, and abs formats from UC Davis.
   http://front.math.ucdavis.edu/math.CA

» Handbook of Analysis and its Foundations (HAF)
   Eric Schechter (AP, 1996) available in printed and CR-ROM editions. Preface, table of contents and other excerpts.
   http://www.math.vanderbilt.edu/~schectex/ccc/

» Mathematical Analysis I
   This text by Elias Zakon covers the basic topics of undergraduate real analysis including: metric spaces, function limits and continuity, sequences and series of functions, power series, and differentiation and integration.
   http://www.trillia.com/zakon-analysisI.html

» Theorie der Abel'schen Functionen
   Available for download in pdf, and dvi.
   http://www.maths.tcd.ie/pub/HistMath/People/Riemann/AbelFn/