WorldCat Identities

Hopf, Heinz 1894-1971

Overview
Works: 83 works in 282 publications in 4 languages and 2,185 library holdings
Genres: History  Exploitation films  Drama  Thrillers (Motion pictures)  Action and adventure films 
Roles: Author, Actor, Translator
Classifications: QA670, 513.83
Publication Timeline
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Most widely held works about Heinz Hopf
 
Most widely held works by Heinz Hopf
Differential geometry in the large : seminar lectures, New York University, 1946 and Stanford University, 1956 by Heinz Hopf( Book )

36 editions published between 1983 and 1989 in 3 languages and held by 628 WorldCat member libraries worldwide

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 mathema{u00AD} 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 ma{u00AD} thematics, for most of the topics in these notes have become the star{u00AD} 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 poly{u00AD} hedral differential geometry. Most of the results in smooth differen{u00AD} 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 ri{u00AD} gidity, Proceedings of International Congress of Mathematicians, Hel{u00AD} sinki 1978, vol. 1, 407-414 ) {u2022} A theory of area and volume of rectilinear'polyhedra based on de{u00AD} compositions originated with Bolyai and Gauss
Topologie by P. S Aleksandrov( Book )

86 editions published between 1935 and 1974 in 3 languages and held by 598 WorldCat member libraries worldwide

In den 40 Jahren, die seit dem Erscheinen der "Analysis Situs" von POINCARE vergangen sind, hat sich die Topologie nicht nur zu einer bedeutenden, sondern auch zu einer auBerordentlich umfangreichen mathematischen Disziplin entwickelt; die wichtigsten Resultate dieser Entwicklung harren einer Darstellung, die gleichzeitig in die Vergangen heit und in die Zukunft weist: in die Vergangenheit als Zusammen fassung dessen, was heute inhaltlich abgeschlossen vorliegt; in die Zu kunft als zuverHissige Grundlage ffir weitere Forschungen. Die an und ffir sich schwierige Aufgabe, eine solche Darstellung eines immerhin jungen Zweiges der mathematischen Wissenschaft zu geben, wird im FaIle der Topologie dadurch besonders erschwert, daB die Entwicklung der Topo logie in zwei voneinander ganzlich getrennten Richtungen vor sich ge gangen ist: in der algebraisch-kombinatorischen und in der mengen theoretischen - von denen jede in mehrere weitere Zweige zerfallt, welche nur lose miteinander zusammenhangen. Als Marksteine in der Entwicklung der mengentheoretischen Topo logie dfirfen der Bericht fiber Punktmengen von SCHOEN FLIES (1908) und das klassische Buch von HAUSDORFF ("Grundzfige der Mengen lehre", 1914) gelten. In den letzten Jahren sind die Bucher von FREcHET ("Espaces abstraits"), von MENGER ("Dimensionstheorie", "Kurven theorie") und von KURATOWSKI ("Topologie I") erschienen. Dber die allgemeine kombinatorische Topologie gab es bis vor wenigen Jahren nur das grundlegende Werk von DEHN-HEEGAARD (Enzyklopadie-Artikel fiber "Analysis Situs", 1907) und das klassische Buch von VEBLEN ("Analysis Situs", 1922), denen 1930 die "Topology" von LEFSCHETZ 1 folgte
Selecta Heinz Hopf by Heinz Hopf( Book )

19 editions published between 1964 and 1965 in 3 languages and held by 248 WorldCat member libraries worldwide

Collected papers = Gesammelte Abhandlungen by Heinz Hopf( Book )

9 editions published between 2001 and 2013 in German and English and held by 104 WorldCat member libraries worldwide

Selected topics in differential geometry in the large by Heinz Hopf( Book )

12 editions published in 1955 in English and Undetermined and held by 81 WorldCat member libraries worldwide

Selected topics in geometry; lectures by Heinz Hopf( Book )

4 editions published in 1946 in English and Undetermined and held by 31 WorldCat member libraries worldwide

Wege in euklidischen Ebenen : Kinematik der speziellen Relativitätstheorie ; eine Auswahl geometrischer Themen mit Beiträgen zu deren Ideen-Geschichte ; unter Verwendung von Vorlesungen von Heinz Hopf, Willi Rinow, Erhard Schmidt by Peter Dombrowski( Book )

1 edition published in 1999 in German and held by 20 WorldCat member libraries worldwide

Das vorliegende Buch zielt auf eine Vertiefung und Erweiterung geometrischer Kenntnisse von Studierenden der Mathematik und der Physik nach dem Grundstudium, und zwar an Hand unterschiedlicher, attraktiver, elementar-zugänglicher Themen der Geometrie. Bezüge zur Analysis und Physik werden betont, zur Historie einiger bedeutender geometrischer bzw. physikalischer Begriffe oder Fragestellungen gibt es eingehendere Beiträge. Die generelle Ausführlichkeit des Textes sollte es Dozenten ermöglichen, den Vortrag auf die Vermittlung der Begriffe, Resultate und Beweisideen konzentrieren und für gewisse Details auf den Text verweisen zu können
Lectures on differential geometry in the large by Heinz Hopf( Book )

10 editions published between 1956 and 1968 in English and Undetermined and held by 20 WorldCat member libraries worldwide

Thriller, a cruel picture( Visual )

1 edition published in 2004 in Swedish and held by 16 WorldCat member libraries worldwide

A mute girl who is gang raped and has one eye gouged out learns to fight and shoot a shotgun and and exacts a bloody revenge
Topologie by P. S Aleksandrov( Book )

2 editions published in 1972 in German and held by 12 WorldCat member libraries worldwide

Selected topics in differential geometry in the large; lectures, New York University, 1955 by Heinz Hopf( Book )

2 editions published in 1956 in English and held by 11 WorldCat member libraries worldwide

Vorträge über die Theorie der Umlaufszahl und ihre Anwendungen by Peter Dombrowski( Book )

3 editions published in 1957 in German and held by 11 WorldCat member libraries worldwide

Ackerfragen : Bodenleben und Ackergeräte by Heinz Hopf( Book )

2 editions published in 1935 in German and Undetermined and held by 11 WorldCat member libraries worldwide

Topologie : mit besonderer Berücksichtigung der Anwendungsgebiete by P. S Aleksandrov( Book )

1 edition published in 1935 in German and held by 9 WorldCat member libraries worldwide

Thriller, a cruel picture( Visual )

1 edition published in 2005 in English and held by 8 WorldCat member libraries worldwide

A mute girl who is gang raped and has one eye gouged out learns to fight and shoot a shotgun and and exacts a bloody revenge
Ueber Zusammenhänge zwischen Topologie und Metrik von Mannigfaltigkeiten by Heinz Hopf( Book )

7 editions published in 1925 in German and Undetermined and held by 6 WorldCat member libraries worldwide

Die topologischen Dualitätssätze. by P. S Aleksandrov( Book )

in German and held by 6 WorldCat member libraries worldwide

Topologie by P. S Aleksandrov( Book )

1 edition published in 1974 in German and held by 6 WorldCat member libraries worldwide

Omega by Lewis R Walton( Book )

2 editions published in 1983 in German and held by 5 WorldCat member libraries worldwide

January 1,1900, and the world was comparatively peaceful and full of hope. But in the Adventist Church, a deadly apostasy brewed, wherein a few of the denomination's most brilliant and charismatic leaders would seek to undermine fundamental doctrines. In so doing they would attract to themselves some of the more able people in the church. Ellen White called the apostasy the alpha, and warned that it would be followed by an even greater falling away--the omega.; Is today's church, buffeted more from within than from without, enmeshed in the omega apostasy right now? Are there parallels and sure guidelnes to steer the faithful through the storm to a safe harbor? Do we dare to accept "new light" on basic principles that have stood the test of time? And most important of all, is there assurance that the church will survive?; Omega will answer these questions. It is, without a doubt, one of the most important books you will ever own. - Forward; Prologue; "I Would Help You if I Could"; "We Received the Sad News; "A Sword as of Fire"; "You Are the Man"; Omega; "The Test Will Come to Every Soul"; Nine Salient Points; "Like a Desolating Cyclone; References
 
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Differential geometry in the large : seminar lectures, New York University, 1946 and Stanford University, 1956
Alternative Names
Heinz Hopf Duits wiskundige

Heinz Hopf German mathematician

Heinz Hopf matematico tedesco

Heinz Hopf mathématicien

Heinz Hopf schweizerischer Mathematiker

Heinz Hopf Swiss mathematician

Hopf, H.

Hopf, H. 1894-1971

Hopf, H. C.

Hopf, Heinrich 1894-1971

Гайнц Гопф

Хайнц Хопф немецкий и швейцарский математик

هاينز هوف

هاینتس هوپف

하인츠 호프

ハインツ・ホップ

海因茨·霍普夫

Languages
German (116)

English (76)

Russian (1)

Swedish (1)

Covers
Collected papers = Gesammelte AbhandlungenWege in euklidischen Ebenen : Kinematik der speziellen Relativitätstheorie ; eine Auswahl geometrischer Themen mit Beiträgen zu deren Ideen-Geschichte ; unter Verwendung von Vorlesungen von Heinz Hopf, Willi Rinow, Erhard Schmidt