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ISBN 10: 3030545326 ISBN 13: 9783030545321
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Published by Springer Nature Switzerland AG, Cham, 2020
ISBN 10: 3030545326 ISBN 13: 9783030545321
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Hardcover. Condition: new. Hardcover. 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 paths. 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 WienerHopf 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Springer Nature Switzerland AG, CH, 2020
ISBN 10: 3030545326 ISBN 13: 9783030545321
Language: English
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Published by Springer International Publishing, 2020
ISBN 10: 3030545326 ISBN 13: 9783030545321
Language: English
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Gebunden. Condition: New. Illustrates a unique, accessible range of topics relevant across analysis and number theoryIncludes pathways toward applications of the Schwarzian, the Riemann hypothesis, and parametrization of Riemann surfacesOffers many self-c.
Taschenbuch. Condition: Neu. Explorations in Complex Functions | Richard Beals (u. a.) | Taschenbuch | xvi | Englisch | 2021 | Springer | EAN 9783030545352 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.