Send e-mail when you find useful links that should be added to this page!

• Reserve items for our course at the library.
• MAT 300 (spring 2004).
• MAT 370 (fall 2004).
• MAT 371 (fall 2000) .
• MAT 371 (fall 2004) .


• Dr. Kadell and Dr. Quigg and teach parallel sections of MAT 371 in spring 2005.
  Professor Suslov teaches a section of MAT 370 in spring 2005.

• The Legacy of R. L. Moore -- just as one cannot become a violinist by just listening to many performances, watching someone else present proofs is not enough to become a mathematician: Every one has to DO the proofs her/himself: You don't learn from watching polished prooofs, you learn from the corrections of the mistakes you make ...
• Instructor's Resource Manual for the MAT 300 textbook (same author as our text).
  Written for the instructor -- still students may enjoy browsing these suggestions, especially about expected difficulties. Lots of valuable advice.
• Professor Sussman's page on "Introduction to Mathematical Reasoning" at Rutgers University.
  Lots of valuable comments and suggestions, but a much harder class than ours.

• Mathworld -- here Peano Axioms. A great site to look almost anything in higher mathematics.

• Explanation guide -- here continuity. This site also frequently comes up on Google searches -- I have not really checked it, but it seems OK for quick look-ups of defintions and theorems (and their specific hypotheses).

• St Andrews: Biographies, Birthplaces and Famous Curves Applets and much more.

• It is impossible to select a class format and textbook that match student's learning style.
  Ideally, there should be no need for any outside help or any third resources -- still, some students insist on utilizing other materials.
  The following are some other popular textbooks that are used for this course in our department and other schools on various years.
  But NONE of these follow the modern approach that we are taking.
  Please don't expect that spending much money will do the job -- still, if you manage to pick up a used copy, you may find it useful.
  • Introduction to Analysis by Maxwell Rosenlicht -- An inexpensive Dover book, at
    about $10 a "real steal" when compared to the hardcovers below that typically are about $ 110 a copy.

  • Mathematical Analysis by Apostol.
  • Introduction to Analysis by Edward Gaughan (used in 2000).
  • Real Analysis: A First Course, 2nd edition, by Russell Gordon

  • Advanced Calculus - A Course in Mathematical Analysis by Fitzpatrick.

    Several more links -- copied unseen from the Prentice Hall WWW-site.

  • Mathematical Thinking: Problem-Solving and Pr...., 2/e by D'Angelo, et. al. (2000)
  • Advanced Calculus for Applications, 2/e by Hildebrand (1976)
  • Advanced Calculus: A Friendly Approach, 1/e by Kosmala (1999)
  • Analysis with an Introduction to Proof, 2/e by Lay (1990)
  • Elements of Real Analysis, 1/e by Gaskill, et. al. (1998)
  • Introduction to Analysis, 1/e by Mattuck (1999)
  • Introduction to Analysis, 2/e by Wade (2000)
  • Introduction to Real Analysis, 1/e by Schramm (1996)