The Schwarz Lemma

The Schwarz LemmaThe Schwarz lemma is among the simplest results in complex analysis that capture the rigidity of holomorphic functions. This self contained volume provides a thorough overview of the subject; it assumes no knowledge of intrinsic metrics and aims for the main results, introducing notation, secondary concepts, and techniques as necessary. Suitable for advanced undergraduates and graduate students of mathematics, the two part treatment covers basic

all required to

well-chosen problems at the end of each chapter (with solutions for about half of them)

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