Explorations complex functions von beals richard (9 Ergebnisse)
Sprache: Englisch
Verlag: Springer, 2023
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Sprache: Englisch
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Serie: Graduate Texts in Mathematics, Buch 179 von 180. Buch 179 von 180 - Graduate Texts in Mathematics
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Sprache: Englisch
Verlag: Springer, 2021
Serie: Graduate Texts in Mathematics, Buch 169 von 180. Buch 169 von 180 - Graduate Texts in Mathematics
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Taschenbuch. Zustand: 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.
Sprache: Englisch
Verlag: Springer, Berlin, Springer, 2021
Serie: Graduate Texts in Mathematics, Buch 169 von 180. Buch 169 von 180 - Graduate Texts in Mathematics
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Taschenbuch. 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 diff…erent 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 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.
Sprache: Englisch
Verlag: Springer, Springer, 2024
Serie: Graduate Texts in Mathematics, Buch 179 von 180. Buch 179 von 180 - Graduate Texts in Mathematics
- Softcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - More Explorations in Complex Functionsis something of a sequel to GTM 287,Explorations in Complex Functions.Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other area…s of mathematics and applications, but there is minimal overlap between the two books. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis.Instructors will appreciate the many options for constructing a second course that builds on a standard first course in complex analysis. Exercises complement the results throughout.There is more material in this present text than one could expect to cover in a year's course in complex analysis. A mapping of dependence relations among chapters enables instructors and independent readers a choice of pathway to reading the text. Chapters 2, 4, 5, 7, and 8 contain the function theory background for some stochastic equations of current interest, such as SLE.The text begins with two introductory chapters to be used as a resource.Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange's theorem, respectively.Chapters 5-7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups.Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10-14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann-Hilbert problem and integral equations, and Darboux's method for computing asymptotics.
Sprache: Englisch
Verlag: Springer, 2024
Serie: Graduate Texts in Mathematics, Buch 179 von 180. Buch 179 von 180 - Graduate Texts in Mathematics
- Softcover
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Taschenbuch. Zustand: Neu. More Explorations in Complex Functions | Richard Beals (u. a.) | Taschenbuch | Graduate Texts in Mathematics | xii | Englisch | 2024 | Springer | EAN 9783031282904 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com |…Anbieter: preigu.
Sprache: Englisch
Verlag: Springer, Springer, 2023
Serie: Graduate Texts in Mathematics, Buch 179 von 180. Buch 179 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 - More Explorations in Complex Functionsis something of a sequel to GTM 287,Explorations in Complex Functions.Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other areas of ma…thematics and applications, but there is minimal overlap between the two books. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis.Instructors will appreciate the many options for constructing a second course that builds on a standard first course in complex analysis. Exercises complement the results throughout.There is more material in this present text than one could expect to cover in a year's course in complex analysis. A mapping of dependence relations among chapters enables instructors and independent readers a choice of pathway to reading the text. Chapters 2, 4, 5, 7, and 8 contain the function theory background for some stochastic equations of current interest, such as SLE.The text begins with two introductory chapters to be used as a resource.Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange's theorem, respectively.Chapters 5-7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups.Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10-14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann-Hilbert problem and integral equations, and Darboux's method for computing asymptotics.
