city:"Cambridge, Massachusetts"
city:"Cambridge, Massachusetts"
continent:"North America"
continent:"North America"
country:"United States"
country:"United States"
language:"English"
language:"English"
tags:" dirichlet's problem"
tags:"mathematics"
university_name:"Massachusetts Institute of Technology"
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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
Author(s):
Tag(s):
- 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
File: 18-112-fall-2008.zip
This OER is part of OCW: Functions of a Complex Variable
Published under: /Download Course Materials
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Inherited Tag(s):
- 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
File: ps6.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- 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
File: ps4.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- 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
File: ps2.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- 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
File: ps3.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Assignments
Share in:
OCW Authors:
Inherited Tag(s):
- 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
File: ps1.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Assignments
Share in:
OCW Authors:
Inherited Tag(s):
- 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
File: ps5.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- 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
File: lecture20.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
- 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
File: lecture5.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
- 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
File: lecture6.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
- 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
File: lecture18_long2.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
- 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
File: lecture16.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
- 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
File: lecture1.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- 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
File: lecture10.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
- 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
File: lecture19.pdf
This OER is part of OCW: Functions of a Complex Variable
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- 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
36 results found.
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