References for Math 701, Fall 2014

In this course, we will jump from book to book rather than use one textbook for the full class. I expect to predominantly use the following two books:

• Serge Lang. "Real and functional analysis," 3rd edition, Springer, 1993. (library link)
  We will use this for its treatment of basic topology.
• Gerald B. Folland. "Real analysis: modern techniques and their applications," 2nd edition (1999), John Wiley & Sons.
  We will use this for its treatment of measure theory.

We will also likely draw material from the following books:

• Andrei Kolmogorov and Sergeĭ Fomin. "Introductory real analysis." Courier Dover Publications, 1975. (library link)
• Igor Kriz and Aleš Pultr. "Introduction to mathematical analysis." Birkhäuser, 2013.
  This book includes both undergraduate analysis and most of the topics we will discuss. It seems like a good reference for review. It is may be freely available from Springer while on campus.
• John C. Oxtoby. "Measure and category." Springer, 1971. (library link)
• Charles C. Pugh. "Real mathematical analysis." Springer, 2002.
• Halsey Lawrence Royden and Patrick Fitzpatrick. "Real Analysis," 4th ed., Pearson, 2010
• Walter Rudin. "Principles of Mathematical Analysis," 3rd edition, McGraw-Hill(International Series in Pure & Applied Mathematics), 1976).
• Saeed Zakeri, A Course in Real Analysis, 2013.
  Notes from the start of last semester's course covering metric spaces.

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