Geometry of Surfaces
John C. Stillwell
Reading Time
at 250 WPM3h 36m
The average reader, reading at a speed of 250 WPM, would take 3h 36m to read Geometry of Surfaces.
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8
days at 30 min/day
216
total minutes
Geometry of Surfaces
Published
February 3, 1995
Publisher
Springer
Pages
216
ISBN-13
9780387977430
ISBN-10
0387977430
Description
This text intends to provide the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric. The geometry of surfaces is an ideal starting point for students learning geometry for the following reasons; first, the extensions offer the simplest possible introduction to fundamentals of modern geometry: curvature, group actions and covering spaces. Second, the prerequisites are modest and standard and include only a little linear algebra, calculus, basic group theory and basic topology. Third and most important, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. They realize all the topological types of compact two-dimensional manifolds, and historically, they are the source of the main concepts of complex analysis, differential geometry, topology, and combinatorial group theory, as well as such hot topics as fractal geometry and string theory. The formal coverage is extended by exercises and informal discussions throughout the text.
A brief account of the historical development of pseudospherical surfaces from 1827 to 1887
Über Flächen mit sphärischen Krümmungslinien vom Kugelgeometrischen Standpunkt aus betrachtet
Ueber Flächen mit sphärischen Krümmungslinien vom Kugelgeometrischen Standpunkt aus betrachtet
Issledovanii︠a︡ po teorii poverkhnosteĭ v mnogoobrazii︠a︡kh znakopostoi︠a︡nnoĭ krivizny
Über die den Enneperschen flächen konstanten negativen krummungsmasses entsprechenden Vossschen flächen
Concerning surfaces with constant negative curvature
Frequently Asked Questions
How many pages are in Geometry of Surfaces?
This edition of Geometry of Surfaces has approximately 216 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 of Surfaces?
For most readers, Geometry of Surfaces typically takes between 4h 30m and 3h 0m to complete. This is based on the book's length of approximately 54,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 3h 36m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 8 days • Estimated word count: 54,000 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 of Surfaces?
The estimated word count for Geometry of Surfaces is approximately 54,000 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 of Surfaces?
Geometry of Surfaces was written by John C. Stillwell.
When was Geometry of Surfaces published?
The publication date for this specific edition is February 3, 1995. The original work may have been published on a different date.