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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I (18.100B) is a prerequisite, topological notions like compactness, connectedness, and related properties of continuous functions are taken for granted.
This course offers biweekly problem sets with sol
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- mathematics
- functions of one complex variable
- cauchy's theorem
- holomorphic functions
- meromorphic functions
- residues
- contour integrals
- conformal mapping
- infinite series and products
- the gamma function
- the mittag-leffler theorem
- harmonic functions
- dirichlet's problem
- the riemann mapping theorem
- the riemann zeta function
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