MAT 532, Real Analysis I
Fall 2017
Christopher Bishop
Office: 4-112 Mathematics Building
Phone: (631)-632-8274
Dept. Phone: (631)-632-8290
FAX: (631)-632-7631
Time and place: TuTh 1:00-2:20, Physics P-122
We will use the text `Real Analysis' by
by Gerald Folland, secondedition, published by
Wiley.
I hope to cover Chapters 1-3, and parts of 4 and 5. Chapter 0
is prerequisite material but I may discuss it briefly if needed.
My office hours will be Tu-Th 10-11
in my office, 4-112 in the Math Building,
and by appointment.
Grader is Dahye Cho. Her office hours are Monday 4-6 in MLC and
Tuesday 4:30-5:30 in S-240A (big office to left of outside door on SL level
of Math Building). You may see her with questions about how problem sets
were graded, and to submit "re-dos" for partial credit.
This is an introductory course on measure theory, with a
bit of point set topology and functional analysis thrown in.
Homework problems will be handed in at class each Tuesday.
Midterm will be in class, Tuesday, October 24.
The following is a tentative
lecture and homework schedule .
Last revised Sept 21, 2017.
problem set for Chapter 0.
Although it is not required, you may wish to consider writing
up your solution in TeX, since eventually you will probably use this
to write your thesis and papers.
The not too short introduction to LaTex
Final location TBA.
Here are the midterms and finals for a 2-semester
course from Rudin's 'Principles of Mathematical Analysis'.
These should give you an idea of what would be good to
know entering this course:
midterm 1 ,
final 1 ,
midterm 2 ,
final 2 ,
Additional links
Hugh Woodin, The Continuum
Hypothesis, Part I
This gives an introduction to set theory with a discussion of the
the role of the axiom of choice and the existence of non-measurable sets.
Hugh Woodin, The Continuum
Hypothesis, Part II
This continues the previous article and discusses in what sense the continuum
hypothesis can be considered true or false, even through it is formally
independent of ZFC.
paper giving careful proof of Banach-Tarski paradox
Wikipedia article on the Banach-Tarski paradox
Wikipedia article on Carleson's a.e. convergence theorem
Wikipedia article on Weierstrass' nowhere differentiable function
Link to
Schroder-Bernstein theorem
Link to
Freilng's dart argument against CH
Link to
history of mathematics
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that may impact your course work, please contact Disability Support
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any, are necessary and appropriate. All information and documentation is
confidential. Students who require assistance during emergency
evacuation are encouraged to discuss their needs with their professors
and Disability Support Services. For procedures and information go to
the following website: http://www.stonybrook.edu/ehs/fire/disabilities ]
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Send me email at:
bishop at math.sunysb.edu
Link to
history of mathematics