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Complex Analysis in Several Variables

Master's level | 7.5 credits | Course code: MMA150

The course is not given as a stand-alone course this academic year, but can be included in the program/course package. For information contact the department.

About the Course

In this course you will study functions of several complex variables that are complex differentiable in a suitable sense. Similar to the situation of one complex variable, complex differentiability is a much stronger notion than real differentiability. This makes it possible to develop tools and obtain results that would not extend to the real setting. Complex analysis in several variables is a field that has seen great development during the last century and there are connections to several parts of modern mathematics, like analysis, algebra, geometry, and topology. In the course you will study various central concepts and methods within the field. Although much of the basic theory of several complex variables can easily be derived from the one-dimensional setting, there are phenomena, like the famous Hartog's phenomena about extensions of complex differentiable functions, that occur only in higher dimensions. During the course you will learn about this and other examples that illustrate that the theory of complex variables in many ways essentially differs from the theory of one complex variable.

More Information

https://www.chalmers.se/sv/i...

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Course Syllabus

MMA150

Tuition Fee

Please contact the department.
EU/EEA citizens, Swedish residence permit holders and exchange students do not pay fees. More information on: http://www.universityadmissions.se

Study Guidance

svl.math@chalmers.se

Department

Department of Mathematical Sciences
41296 Göteborg

Visiting address: Chalmers Tvärgata 3

Phone: 0317721000

Page Manager: Pontus Sundén
Last update: 2/18/2020 2:41 PM

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Page Manager: Pontus Sundén|Last update: 10/16/2018
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