Download A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces PDF Free - Full Version
Download A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces by S.S. Kutateladze in PDF format completely FREE. No registration required, no payment needed. Get instant access to this valuable resource on PDFdrive.to!
About A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces
A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatise begins with an outline of the basic concepts, definitions, and results relevant to intrinsic geometry. It reviews the general theory, then presents the requisite general theorems on rectifiable curves and curves of minimum length. Proof of some of the general properties of the intrinsic metric of convex surfaces follows. The study then splits into two almost independent lines: further exploration of the intrinsic geometry of convex surfaces and proof of the existence of a surface with a given metric. The final chapter reviews the generalization of the whole theory to convex surfaces in the Lobachevskii space and in the spherical space, concluding with an outline of the theory of nonconvex surfaces. Alexandrov's work was both original and extremely influential. This book gave rise to studying surfaces "in the large," rejecting the limitations of smoothness, and reviving the style of Euclid. Progress in geometry in recent decades correlates with the resurrection of the synthetic methods of geometry and brings the ideas of Alexandrov once again into focus. This text is a classic that remains unsurpassed in its clarity and scope.
Detailed Information
| Author: | S.S. Kutateladze |
|---|---|
| Publication Year: | 2004 |
| ISBN: | 9780203643846 |
| Pages: | 431 |
| Language: | English |
| File Size: | 3.462 |
| Format: | |
| Price: | FREE |
Safe & Secure Download - No registration required
Why Choose PDFdrive for Your Free A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces Download?
- 100% Free: No hidden fees or subscriptions required for one book every day.
- No Registration: Immediate access is available without creating accounts for one book every day.
- Safe and Secure: Clean downloads without malware or viruses
- Multiple Formats: PDF, MOBI, Mpub,... optimized for all devices
- Educational Resource: Supporting knowledge sharing and learning
Frequently Asked Questions
Is it really free to download A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces PDF?
Yes, on https://PDFdrive.to you can download A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces by S.S. Kutateladze completely free. We don't require any payment, subscription, or registration to access this PDF file. For 3 books every day.
How can I read A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces on my mobile device?
After downloading A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces PDF, you can open it with any PDF reader app on your phone or tablet. We recommend using Adobe Acrobat Reader, Apple Books, or Google Play Books for the best reading experience.
Is this the full version of A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces?
Yes, this is the complete PDF version of A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces by S.S. Kutateladze. You will be able to read the entire content as in the printed version without missing any pages.
Is it legal to download A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces PDF for free?
https://PDFdrive.to provides links to free educational resources available online. We do not store any files on our servers. Please be aware of copyright laws in your country before downloading.
The materials shared are intended for research, educational, and personal use in accordance with fair use principles.
