9783030545321 - explorations in complex functions (graduate texts in mathematics, 287, band 287) von beals, richard; wong, roderick s. c. (3 Ergebnisse)
Sprache: Englisch
Verlag: Springer, 2020
Serie: Graduate Texts in Mathematics, Buch 169 von 180. Buch 169 von 180 - Graduate Texts in Mathematics
- Hardcover
Anbieter: Majestic Books, Hounslow, Vereinigtes KönigreichMajestic Books
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Zustand: New.
Sprache: Englisch
Verlag: Springer, 2020
Serie: Graduate Texts in Mathematics, Buch 169 von 180. Buch 169 von 180 - Graduate Texts in Mathematics
- Hardcover
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Hardcover. Zustand: Brand New. 353 pages. 9.50x6.50x1.00 inches. In Stock.
Sprache: Englisch
Verlag: Springer, 2020
Serie: Graduate Texts in Mathematics, Buch 169 von 180. Buch 169 von 180 - Graduate Texts in Mathematics
- Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different p…aths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give riseto Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener-Hopf method.Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.
