Elementary topics in differential geometry

J. A. Thorpe

at 250 WPM

4h 30m

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9

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270

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Elementary topics in differential geometry

by J. A. Thorpe

Oct 12, 2011

Springer

270

9781461261551

1461261554

Description

This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. the calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a one-semester course at the junior/senior level.

Frequently Asked Questions

How many pages are in Elementary topics in differential geometry?

This edition of Elementary topics in differential geometry has approximately 270 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 Elementary topics in differential geometry?

For most readers, Elementary topics in differential geometry typically takes between 5h 38m and 3h 45m to complete. This is based on the book's length of approximately 67,500 words and common reading speeds.

Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 4h 30m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 9 days • Estimated word count: 67,500 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 Elementary topics in differential geometry?

The estimated word count for Elementary topics in differential geometry is approximately 67,500 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 Elementary topics in differential geometry?

Elementary topics in differential geometry was written by J. A. Thorpe.

When was Elementary topics in differential geometry published?

The publication date for this specific edition is Oct 12, 2011. The original work may have been published on a different date.