Geometry IV
Yu. G. Reshetnyak
Reading Time
at 250 WPM4h 12m
The average reader, reading at a speed of 250 WPM, would take 4h 12m to read Geometry IV.
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9
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252
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Geometry IV
Published
2013
Publisher
Springer
Pages
252
ISBN-13
9783662028971
Description
This volume of the Encyclopaedia contains two articles, which give a survey of modern research into non-regular Riemannian geometry, carried out mostly by Russian mathematicians. The first article written by Reshetnyak is devoted to the theory of two-dimensional Riemannian manifolds of bounded curvature. Concepts of Riemannian geometry, such as the area andintegral curvature of a set, and the length and integral curvature of a curve are also defined for these manifolds. Some fundamental results of Riemannian goemetry like the Gauss-Bonnet formula are true in the more general case considered in the book. The second article by Berestovskij and Nikolaev is devoted to the theory of metric spaces whose curvature lies between two given constants. The main result is that these spaces are infact Riemannian. This result has important applications in global Riemanniangeometry. Both parts cover topics, which have not yet been treated in monograph form. Hence the book will be immensely useful to graduate students and researchers in geometry, in particular Riemannian geometry.
Frequently Asked Questions
How many pages are in Geometry IV?
This edition of Geometry IV 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 Geometry IV?
For most readers, Geometry IV 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 Geometry IV?
The estimated word count for Geometry IV 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 Geometry IV?
Geometry IV was written by Yu. G. Reshetnyak.
When was Geometry IV published?
The publication date for this specific edition is 2013. The original work may have been published on a different date.