Normal families

Joel L. Schiff

at 250 WPM

4h 12m

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9

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252

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Normal families

by Joel L. Schiff

Oct 06, 2011

Springer

252

9781461209089

1461209080

Description

This is the first book devoted solely to the subject of normal families of analytic and meromorphic functions since the 1927 treatise of Paul Montel. A considerable body of research has evolved since then, and this text provides a comprehensive treatment of the entire theory. Since its inception early this century, the notion of a normal family has played a central role in the development of complex function theory. In fact, it is a concept lying at the very heart of the subject, weaving a line of thought through Picard's theorems, Schottky's theorem, the Riemann mapping theorem, to many modern results on meromorphic functions via the Bloch principle. It is this latter which has provided considerable impetus over the years to the study of normal families, and continues to serve as a guiding hand to future work. Numerous applications of the normal family theory are discussed, particularly those found in the study of extremal problems, normal functions, harmonic functions, discontinuous groups, and complex dynamical systems. Only a basic knowledge of complex analysis and topology is assumed. All other necessary material for the study of the subject is included in the first chapter. The scope of the book ranges from advanced undergraduate to research level.

Frequently Asked Questions

How many pages are in Normal families?

This edition of Normal families has approximately 252 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.

How long does it take to read Normal families?

For most readers, Normal families typically takes between 5h 15m and 3h 30m to complete. This is based on the book's length of approximately 63,000 words and common reading speeds.

Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 4h 12m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 9 days • Estimated word count: 63,000 words

Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.

What is the word count of Normal families?

The estimated word count for Normal families is approximately 63,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.

This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.

Who is the author of Normal families?

Normal families was written by Joel L. Schiff.

When was Normal families published?

The publication date for this specific edition is Oct 06, 2011. The original work may have been published on a different date.