Explorations in Complex Functions
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…
Specifikacia Explorations in Complex Functions
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.