MAT 324, Real Analysis (Measure Theory)

Fall 2006

Christopher Bishop

Professor, Mathematics
SUNY Stony Brook

Office: 4-112 Mathematics Building
Phone: (516)-632-8274
Dept. Phone: (516)-632-8290
FAX: (516)-632-7631

Time and place: MWF 11:45-12:40, Physics 116

We will follow the text `Measure, Integral and Probability' by Marek Capinski and Ekkehard Kopp (Springer-Verlag, Springer Undergraduate Mathematics Series, ISBN 1-85233-781-8). We should cover all of Chapters 1-5, and perhaps parts of Chapters 6,7,8 as time permits.

This is definitely a course with proofs. Homework problems will be asssigned for each section and there will be an inclass midterm on Friday, Oct 27 and a final at a time to be set (Scheduled time is Monday Dec 18 at 2-4:30).

Please hand homework in on or before due date. I will try to discuss the problems on the following meeting. Incorrect problems may be rewritten and handed back in for partial credit.

MIDTERM in class on Wednesday, Oct 25. Midterm 1 sample exam in PDF
Midterm 1 sample exam in postscript

Chapter 1: Motivation and preliminaries

Problem set 1 is due Wed, Sept 13
Problem set 1 in PDF
Problem set 1 in postscript
Problem set 1 in TeX

Chapter 2: Measure

Problem Set 2a
Problem set 2a in PDF
Problem set 2a in postscript
Problem set 2a in TeX

Problem Set 2b
Problem set 2b in PDF
Problem set 2b in postscript
Problem set 2b in TeX

Chapter 3: Measureable functions
Problem Set 3 --- Due Wed Nov 8
Problem set 3 in PDF
Problem set 3 in postscript
Problem set 3 in TeX

Chapter 4: Integral --- Due Wed Nov 15
Problem Set 4
Problem set 4 in PDF
Problem set 4 in postscript
Problem set 4 in TeX

Chapter 5: Spaces of Integrable functions
Problem Set 5 --- Due ??
Problem set 5 in PDF
Problem set 5 in postscript
Problem set 5 in TeX

Chapter 6: Product measures

Chapter 7: The Radon-Nikodym theorem

Chapter 8: Limit theorems

postscript output for template.tex

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University final exam schedule

Link to history of mathematics

Some specific topics from the history of math site: history of `e' , The Brachistochrome problem , Isaac Newton , Gottfried Willhelm von Leibniz , A brief history of calculus , The fundamental theorem of algebra , A brief history of mathematics , Jean Fourier , The number `Pi' , Discovery of Neptune and Pluto , ,