Amazon cover image
Image from Amazon.com

Differential geometry in the large : seminar lectures, New York University, 1946 and Stanford University, 1956 / Heinz Hopf ; with a preface by S.S. Chern.

By: Hopf, Heinz, 1894-1971Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1000.Publication details: Berlin ; New York : Springer-Verlag, 1983. Description: 1 online resource (vi, 184 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783662215630; 3662215632; 9783540120049; 3540120041Report number: V1043227Subject(s): Geometry, Differential | Global differential geometry | Géométrie différentielle | Géométrie différentielle globale | Geometry, Differential | Global differential geometryGenre/Form: Electronic books. Additional physical formats: Print version:: Differential geometry in the large.; Print version:: Differential geometry in the large.DDC classification: 510 s | 516.3/6 | 516.3/6 LOC classification: QA3 | .L28 no. 1000 | QA670Other classification: 31.52 Online resources: Click here to access online
Contents:
Selected topics in geometry : New York University, 1946 / notes by Peter Lax -- Differential geometry in the large : Stanford University, 1956 / notes by J.W. Gray.
Action note: digitized 2010 committed to preserveSummary: These notes consist of two parts: 1) Selected Topics in Geometry, New York University 1946, Notes by Peter Lax. 2) Lectures on Differential Geometry in the Large, Stanford University 1956, Notes by J.W. Gray. They are reproduced here with no essential change. Heinz Hopf was a mathematician who recognized important mathemaƯ tical ideas and new mathematical phenomena through special cases. In the simplest background the central idea or the difficulty of a problem usually becomes crystal clear. Doing geometry in this fashion is a joy. Hopf's great insight allows this approach to lead to serious maƯ thematics, for most of the topics in these notes have become the starƯ ting-points of important further developments. I will try to mention a few. It is clear from these notes that Hopf laid the emphasis on polyƯ hedral differential geometry. Most of the results in smooth differenƯ tial geometry have polyhedral counterparts, whose understanding is both important and challenging. Among recent works I wish to mention those of Robert Connelly on rigidity, which is very much in the spirit of these notes (cf. R. Connelly, Conjectures and open questions in riƯ gidity, Proceedings of International Congress of Mathematicians, HelƯ sinki 1978, vol. 1, 407-414) - A theory of area and volume of rectilinear'polyhedra based on deƯ compositions originated with Bolyai and Gauss.
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library

Electronic Book@IST

EBook Available
Total holds: 0

Includes bibliographical references.

Selected topics in geometry : New York University, 1946 / notes by Peter Lax -- Differential geometry in the large : Stanford University, 1956 / notes by J.W. Gray.

Print version record.

Use copy Restrictions unspecified star MiAaHDL

Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL

These notes consist of two parts: 1) Selected Topics in Geometry, New York University 1946, Notes by Peter Lax. 2) Lectures on Differential Geometry in the Large, Stanford University 1956, Notes by J.W. Gray. They are reproduced here with no essential change. Heinz Hopf was a mathematician who recognized important mathemaƯ tical ideas and new mathematical phenomena through special cases. In the simplest background the central idea or the difficulty of a problem usually becomes crystal clear. Doing geometry in this fashion is a joy. Hopf's great insight allows this approach to lead to serious maƯ thematics, for most of the topics in these notes have become the starƯ ting-points of important further developments. I will try to mention a few. It is clear from these notes that Hopf laid the emphasis on polyƯ hedral differential geometry. Most of the results in smooth differenƯ tial geometry have polyhedral counterparts, whose understanding is both important and challenging. Among recent works I wish to mention those of Robert Connelly on rigidity, which is very much in the spirit of these notes (cf. R. Connelly, Conjectures and open questions in riƯ gidity, Proceedings of International Congress of Mathematicians, HelƯ sinki 1978, vol. 1, 407-414) - A theory of area and volume of rectilinear'polyhedra based on deƯ compositions originated with Bolyai and Gauss.

Other editions of this work

Other editions
Differential geometry in the large : by Hopf, Heinz, ©1989
Differential geometry in the large : by Hopf, Heinz, ©1989
Differential geometry in the large : by Hopf, Heinz, ©1989

Powered by Koha