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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 mittagleffler theorem
 harmonic functions
 dirichlet's problem
 the riemann mapping theorem
 the riemann zeta function
File: 18112fall2008.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 mittagleffler 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 mittagleffler 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 mittagleffler 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 mittagleffler 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
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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 mittagleffler 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
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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 mittagleffler 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
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 mittagleffler 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 mittagleffler 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 mittagleffler 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 mittagleffler 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 mittagleffler 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 mittagleffler 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
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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 mittagleffler 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
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 mittagleffler 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 mittagleffler theorem
 harmonic functions
 dirichlet's problem
 the riemann mapping theorem
 the riemann zeta function
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