WorldCat Identities

Hirzebruch, Friedrich

Overview
Works: 166 works in 684 publications in 6 languages and 7,790 library holdings
Genres: Conference papers and proceedings  Festschriften  Biography  History 
Roles: Author, Editor, Honoree, Dedicatee, Author of introduction, Other, Interviewee, Creator, Contributor
Classifications: QA564, 510
Publication Timeline
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Most widely held works by Friedrich Hirzebruch
Topological methods in algebraic geometry by Friedrich Hirzebruch( Book )

64 editions published between 1966 and 1996 in 3 languages and held by 901 WorldCat member libraries worldwide

Prospects in mathematics by I. M Singer( Book )

16 editions published between 1971 and 2010 in English and held by 509 WorldCat member libraries worldwide

Prospects in Mathematics, a symposium, was held in Princeton on March 16-18, 1970 on the occasion of the dedication of the university's new Fine Hall. Invited addresses were delivered by F.E.P. Hirzebruch, L. Hormander, J. Milnor, J.-P. Serre, and I.M. Singer. The lecturers undertook to describe some current trends in mathematics in the prespective of the recent past and in terms of some of the expectations for the future. Among subjects discussed were algebraic groups, quadratic forms, topological aspects of global analysis, variants of the index theorem, and partial differential equations. This volume presents the written texts of those lectures. (Author)
Neue topologische Methoden in der algebraischen Geometrie by Friedrich Hirzebruch( Book )

25 editions published between 1955 and 1962 in 3 languages and held by 435 WorldCat member libraries worldwide

Differentiable manifolds and quadratic forms by Friedrich Hirzebruch( Book )

24 editions published between 1962 and 1992 in English and held by 411 WorldCat member libraries worldwide

O(n)-Mannigfaltigkeiten, exotische Sphären und Singularitäten by Friedrich Hirzebruch( Book )

28 editions published between 1968 and 2007 in 4 languages and held by 398 WorldCat member libraries worldwide

Arbeitstagung Bonn, 1984 : proceedings of the meeting held by the Max-Planck-Institut für Mathematik, Bonn, June 15-22, 1984 by 1984, Bonn) Mathematische Arbeitstagung (25( Book )

28 editions published between 1984 and 1985 in 3 languages and held by 394 WorldCat member libraries worldwide

Lattices and codes : a course partially based on lectures by F. Hirzebruch by Wolfgang Ebeling( Book )

11 editions published between 1994 and 2013 in English and German and held by 347 WorldCat member libraries worldwide

The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. In this book, examples of such connections are presented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory. In the 2nd edition numerous corrections have been made. More basic material has been included to make the text even more self-contained. A new section on the automorphism group of the Leech lattice has been added. Some hints to new results have been incorporated. Finally, several new exercises have been added
The Atiyah-Singer theorem and elementary number theory by Friedrich Hirzebruch( Book )

15 editions published between 1974 and 1983 in English and held by 326 WorldCat member libraries worldwide

Miscellanea mathematica by Michael Francis Atiyah( Book )

13 editions published in 1991 in English and German and held by 285 WorldCat member libraries worldwide

Mathematics has a certain mystique, for it is pure and ex- act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in- dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz Gotze, who has dedicated his life to scientific pu- blishing, took up this challenge with his typical enthusi- asm. This Festschrift celebrates his invaluable contribu- tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz Gotze's life-long support of mathematics
Manifolds and modular forms by Friedrich Hirzebruch( Book )

22 editions published between 1992 and 1994 in English and German and held by 250 WorldCat member libraries worldwide

During the winter term 1987/88 I gave a course at the University of Bonn under the title "Manifolds and Modular Forms". I wanted to develop the theory of "Elliptic Genera" and to learn it myself on this occasion. This theory due to Ochanine, Landweber, Stong and others was relatively new at the time. The word "genus" is meant in the sense of my book "Neue Topologische Methoden in der Algebraischen Geometrie" published in 1956: A genus is a homomorphism of the Thorn cobordism ring of oriented compact manifolds into the complex numbers. Fundamental examples are the signature and the A-genus. The A-genus equals the arithmetic genus of an algebraic manifold, provided the first Chern class of the manifold vanishes. According to Atiyah and Singer it is the index of the Dirac operator on a compact Riemannian manifold with spin structure. The elliptic genera depend on a parameter. For special values of the parameter one obtains the signature and the A-genus. Indeed, the universal elliptic genus can be regarded as a modular form with respect to the subgroup r (2) of the modular group; the two cusps 0 giving the signature and the A-genus. Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold
Algebraic geometry, Hirzebruch 70 : proceedings of the Algebraic Geometry Conference in honor of F. Hirzebruch's 70th birthday, May 11-16, 1998, Stefan Banach International Mathematical Center Warszawa, Poland by Algebraic Geometry Conference in Honor of F. Hirzebruch's 70th Birthday( Book )

14 editions published in 1999 in English and held by 225 WorldCat member libraries worldwide

Einführung in die Funktionalanalysis by Friedrich Hirzebruch( Book )

32 editions published between 1971 and 2009 in German and Undetermined and held by 214 WorldCat member libraries worldwide

Wolf prize in mathematics( Book )

in English and held by 205 WorldCat member libraries worldwide

Surveys in differential geometry : papers dedicated to Atiyah, Bott, Hirzebruch, and Singer by Lehigh university (Betlemme)( Book )

11 editions published between 2000 and 2002 in English and held by 186 WorldCat member libraries worldwide

Lectures on Hilbert modular surfaces by Friedrich Hirzebruch( Book )

11 editions published in 1981 in English and Undetermined and held by 183 WorldCat member libraries worldwide

Gesammelte Abhandlungen = Collected papers by Friedrich Hirzebruch( Book )

6 editions published in 1987 in German and English and held by 146 WorldCat member libraries worldwide

Hilbert modular surfaces by Friedrich Hirzebruch( Book )

18 editions published between 1972 and 1974 in 3 languages and held by 145 WorldCat member libraries worldwide

Geradenkonfigurationen und algebraische Flächen by Gottfried Barthel( Book )

13 editions published between 1987 and 1990 in German and Undetermined and held by 143 WorldCat member libraries worldwide

1951-1962 by Friedrich Hirzebruch( Book )

24 editions published between 1987 and 2014 in 3 languages and held by 114 WorldCat member libraries worldwide

Arbeitstagung Bonn 2013 : in memory of Friedrich Hirzebruch by Mathematische Arbeitstagung( Book )

4 editions published in 2016 in English and held by 50 WorldCat member libraries worldwide

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that would become its most distinctive feature: the program was not determined beforehand by the organizers, but during the meeting by all participants in an open discussion. This ensured that the talks would be on the latest developments in mathematics and that many important results were presented at the conference for the first time. Written by leading mathematicians, the papers in this volume cover various topics from algebraic geometry, topology, analysis, operator theory, and representation theory and display the breadth and depth of pure mathematics that has always been characteristic of the Arbeitstagung. (4e de couv.)
 
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Prospects in mathematics
Alternative Names
Chircebruch, F.

Chircebruch, F. 1927-2012

Chircebruch, F. [t]

Friedrich Ernst Peter Hirzebruch.

Friedrich Hirzebruch Duits wiskundige

Friedrich Hirzebruch German mathematician

Friedrich Hirzebruch matemàtic alemany

Friedrich Hirzebruch matemático alemán

Friedrich Hirzebruch matematico tedesco

Friedrich Hirzebruch mathématicien allemand

Friedrich Hirzebruch tysk matematikar

Friedrich Hirzebruch tysk matematiker

Hircebruh, F.

Hirzebruch, F.

Hirzebruch, F. 1927-2012

Hirzebruch, F. (Friedrich)

Hirzebruch, Friedrch E.P. 1927-

Hirzebruch, Friedrich.

Hirzebruch, Friedrich E. 1927-2012

Hirzebruch, Friedrich E. P. 1927-2012

Hirzebruch, Friedrich Ernst Peter.

Hirzebruch, Friedrich Ernst Peter 1927-...

Hirzebruch Friedrich Ernst Peter 1927-2012

Hirzebruch, Fritz

Hirzebruch, Fritz 1927-

Hirzebruch, Fritz 1927-2012

Хирцебрух, Ф..

Хирцебрух, Фридрих

فريدريش هيرتسبروخ رياضياتي ألماني

프리드리히 히르체브루흐

ヒルツェブルフ

フリードリッヒ・ヒルツェブルフ ドイツの数学者

弗里德里希·希策布鲁赫

Languages
Covers
Prospects in mathematicsO(n)-Mannigfaltigkeiten, exotische Sphären und SingularitätenArbeitstagung Bonn, 1984 : proceedings of the meeting held by the Max-Planck-Institut für Mathematik, Bonn, June 15-22, 1984The Atiyah-Singer theorem and elementary number theoryAlgebraic geometry, Hirzebruch 70 : proceedings of the Algebraic Geometry Conference in honor of F. Hirzebruch's 70th birthday, May 11-16, 1998, Stefan Banach International Mathematical Center Warszawa, PolandEinführung in die FunktionalanalysisWolf prize in mathematicsGesammelte Abhandlungen = Collected papers1951-1962