Turning caffeine into theorems.
Complex Analysis II
Complex Analysis II
Complex Analysis part II
It’s true what they say, “Complex Analysis IS for lovers.” #theoremoncanonicalproducts #HappyValentinesDay
Clean boards before complex analysis.
I’m a tad under the weather, so I’m skipping complex analysis tonight.
The topic for Mike Miller’s UCLA Winter math course isn’t as much a surprise as is often the case. During the summer he had announced he would be doing a two quarter sequence on complex analysis, so this Winter, we’ll be continuing on with our complex analysis studies.
I do know, however, that there were a few who couldn’t make part of the Fall course, but who had some foundation in the subject and wanted to join us for the more advanced portion in the second half. Toward that end, below are the details for the course:
Introduction to Complex Analysis: Part II | MATH X 451.41 – 350370
Complex analysis is one of the most beautiful and practical disciplines of mathematics, with applications in engineering, physics, and astronomy, to say nothing of other branches of mathematics. This course, the second in a two-part sequence, builds on last quarter’s development of the differentiation and integration of complex functions to extend the principles to more sophisticated and elegant applications of the theory. Topics to be discussed include conformal mappings, Laurent series and meromorphic functions, Riemann surfaces, Riemann Mapping Theorem, analytical continuation, and Picard’s Theorem. The course should appeal to those whose work involves the application of mathematics to engineering problems, and to those interested in how complex analysis helps explain the structure and behavior of the more familiar real number system and real-variable calculus.
Time: 7:00PM to 10:00PM
Dates: Jan 10, 2017 to Mar 28, 2017
Contact Hours: 33.00
Location: UCLA, Math Sciences Building
Course Fee(s): $453.00
Available for Credit: 3 units
Instructors: Michael Miller
No refund after January 24, 2017.
Class will not meet on one Tuesday to be announced.
For many who will register, this certainly won’t be their first course with Dr. Miller–yes, he’s that good! But for the newcomers, I’ve written some thoughts and tips to help them more easily and quickly settle in and adjust: Dr. Michael Miller Math Class Hints and Tips | UCLA Extension
If you’d like additional details as well as lots of alternate textbooks, see the announcement for the first course in the series.
If you missed the first quarter and are interested in the second quarter but want a bit of review or some of the notes, let me know in the comments below.
I look forward to seeing everyone in the Winter quarter!
📖 On page 24 of 274 of Complex Analysis with Applications by Richard A. Silverman
I enjoyed his treatment of inversion, but it seems like there’s a better way of laying the idea out, particularly for applications. Straightforward coverage of nested intervals and rectangles, limit points, convergent sequences, Cauchy convergence criterion. Given the level, I would have preferred some additional review of basic analysis and topology; he seems to do the bare minimum here.