Explorations in Complex Functions
This textbook explores a selection of topics in complex analysis. 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 f… Celý popis ↓
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Explorations in Complex Functions
This textbook explores a selection of topics in complex analysis. 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. 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.
The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire 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.
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