| dc.contributor.author | Helgason, Sigurdur, 1927- | en_US |
| dc.coverage.temporal | Fall 2006 | en_US |
| dc.date.issued | 2006-12 | |
| dc.identifier | 18.112-Fall2006 | |
| dc.identifier | local: 18.112 | |
| dc.identifier | local: IMSCP-MD5-2d43d03370bcaf5f4855c1b02387c447 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/49419 | |
| dc.description.abstract | The basic properties of functions of one complex variable. Cauchy's theorem, holomorphic and meromorphic functions, residues, contour integrals, conformal mapping. Infinite series and products, the gamma function, the Mittag-Leffler theorem. Harmonic functions, Dirichlet's problem. From the course home page: Course Description 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 solutions, two term tests and a final exam, all with solutions. | en_US |
| dc.language | en-US | en_US |
| dc.relation | | en_US |
| dc.rights.uri | Usage Restrictions: This site (c) Massachusetts Institute of Technology 2003. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license"). The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions. | en_US |
| dc.subject | functions of one complex variable | en_US |
| dc.subject | Cauchy's theorem | en_US |
| dc.subject | holomorphic functions | en_US |
| dc.subject | meromorphic functions | en_US |
| dc.subject | residues | en_US |
| dc.subject | contour integrals | en_US |
| dc.subject | conformal mapping | en_US |
| dc.subject | Infinite series and products | en_US |
| dc.subject | the gamma function | en_US |
| dc.subject | the Mittag-Leffler theorem | en_US |
| dc.subject | Harmonic functions | en_US |
| dc.subject | Dirichlet's problem | en_US |
| dc.subject | The Riemann mapping theorem | en_US |
| dc.subject | The Riemann Zeta function | en_US |
| dc.title | 18.112 Functions of a Complex Variable, Fall 2006 | en_US |
| dc.title.alternative | Functions of a Complex Variable | en_US |
