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Könyv Explorations in Complex Functions Richard Beals

Explorations in Complex Functions

Szerző: Richard Beals, Roderick S. C. Wong
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer Nature Switzerland AG
Elérhetőség: 50 % esély
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15 187 Ft
This textbook explores a selection of topics in complex analysis. From core material in the mainstre...

Információk a könyvről

Szerző
Richard Beals, Roderick S. C. Wong
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2021
oldal
353
EAN
9783030545352
ISBN
3030545350
Enbook ID
38417881
Kiadó
Springer Nature Switzerland AG
Súly
672
Méretek
155 x 235

Teljes leírás

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 rise to 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.

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