A course in complex analysis and Riemann surfaces / Wilhelm Schlag.
Complex analysis is a cornerstone of mathematics, making it an essential element of any area of study in graduate mathematics. Schlag's treatment of the subject emphasizes the intuitive geometric underpinnings of elementary complex analysis that naturally lead to the theory of Riemann surfaces. Th...
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| Main Author: | |
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| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
[2014]
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| Series: | Graduate studies in mathematics ;
v. 154. |
| Subjects: | |
| Genre: | |
| Physical Description: | xv, 384 pages : illustrations ; 26 cm. |
| Format: | Book |
Contents:
- From i to z: the basics of complex analysis
- From z to the Riemann mapping theorem: some finer points of basic complex analysis
- Harmonic functions
- Riemann surfaces: definitions, examples, basic properties
- Analytic continuation, covering surfaces, and algebraic functions
- Differential forms on Riemann surfaces
- The theorems of Riemann-Roch, Abel, and Jacobi
- Uniformization.