Conformal maps and geometry [electronic resource] / Dmitry Beliaev.
By: Beliaev, Dmitry
.
Material type: 
BookSeries: Advanced textbooks in mathematics.Publisher: London : World Scientific Publishing Europe Ltd., ©2019Description: 1 online resource (240 p.) : ill.ISBN: 9781786346148.Subject(s): Conformal mapping | Conformal geometry | Mappings (Mathematics)Genre/Form: Electronic books.DDC classification: 515.9 Online resources: Access to full text is restricted to subscribers. Summary: "Geometric function theory is one of the most interesting parts of complex analysis, an area that has become increasingly relevant as a key feature in the theory of Schramm-Loewner evolution. Though Riemann mapping theorem is frequently explored, there are few texts that discuss general theory of univalent maps, conformal invariants, and Loewner evolution. This textbook provides an accessible foundation of the theory of conformal maps and their connections with geometry. It offers a unique view of the field, as it is one of the first to discuss general theory of univalent maps at a graduate level, while introducing more complex theories of conformal invariants and extremal lengths. Conformal Maps and Geometry is an ideal resource for graduate courses in Complex Analysis or as an analytic prerequisite to study the theory of Schramm-Loewner evolution."-- Publisher's website.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Title from title screen (World Scientific, viewed November 22, 2019).
Includes bibliographical references and index.
"Geometric function theory is one of the most interesting parts of complex analysis, an area that has become increasingly relevant as a key feature in the theory of Schramm-Loewner evolution. Though Riemann mapping theorem is frequently explored, there are few texts that discuss general theory of univalent maps, conformal invariants, and Loewner evolution. This textbook provides an accessible foundation of the theory of conformal maps and their connections with geometry. It offers a unique view of the field, as it is one of the first to discuss general theory of univalent maps at a graduate level, while introducing more complex theories of conformal invariants and extremal lengths. Conformal Maps and Geometry is an ideal resource for graduate courses in Complex Analysis or as an analytic prerequisite to study the theory of Schramm-Loewner evolution."-- Publisher's website.
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