Class Id: 9252
Days: MWF
Start Time: 10:00 AM
End Time: 10:50 AM
Building: FINEH
Room: 1001
Course Id: 4121
Departments and Numbers: MAT 433
Area:
Title: Analysis IV: Special Topics in Analysis
Description: Math 433 will cover methods of proving that certain numbers are transcendental. The tentative plan is to work through Siegel's "Transcendental Numbers." This is a famous work, in which Siegel proves that various numbers are transcendental, starting with the nineteenth century results that pi and e are transcendental, and then going on to various generalizations, including some remarkable results that he obtained. This book is based on lectures that Siegel gave in 1946 and is not up-to-date, but it is very clearly written and contains plenty of material, which can still serve as a solid introduction to the subject.
Prerequisites: Prerequisites: A course on complex analysis and a course on algebra with Galois theory.
Professors: John N. Mather
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Created by Bob Dondero.