WorldCat Identities

Booss, Bernhelm 1941-

Overview
Works: 108 works in 345 publications in 3 languages and 5,171 library holdings
Genres: Conference papers and proceedings  History 
Roles: Author, Editor, Other, Translator, Creator
Publication Timeline
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Most widely held works by Bernhelm Booss
Analysis, geometry and topology of elliptic operators by Bernhelm Booβ-Bavnbek( )

15 editions published in 2006 in English and held by 1,628 WorldCat member libraries worldwide

Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics. The first of its kind, this volume is ideally suited to graduate students and researchers interested in careful expositions of newly-evolved achievements and perspectives in elliptic theory. The contributions are based on lectures presented at a workshop acknowledging Krzysztof P Wojciechowski's work in the theory of elliptic operators
Topology and analysis : the Atiyah-Singer index formula and gauge-theoretic physics by Bernhelm Booss( Book )

34 editions published between 1977 and 1989 in German and English and held by 614 WorldCat member libraries worldwide

The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readi ness for extra-mathematical applications but also more comprehensive orientations within mathematics. In applications, it is frequently less important to draw the most far-reaching conclusions from a single mathe matical idea than to cover a subject or problem area tentatively by a proper "variety" of mathematical theories. To do this the mathematician must be familiar with the shared as weIl as specific features of differ ent mathematical approaches, and must have experience with their inter connections. The Atiyah-Singer Index Formula, "one of the deepest and hardest results in mathematics", "probably has wider ramifications in topology and analysis than any other single result" (F. Hirzebruch) and offers perhaps a particularly fitting example for such an introduction to "Mathematics": In spi te of i ts difficulty and immensely rich interrela tions, the realm of the Index Formula can be delimited, and thus its ideas and methods can be made accessible to students in their middle * semesters. In fact, the Atiyah-Singer Index Formula has become progressively "easier" and "more transparent" over the years. The discovery of deeper and more comprehensive applications (see Chapter 111. 4) brought with it, not only a vigorous exploration of its methods particularly in the many facetted and always new presentations of the material by M.F
New paths towards quantum gravity( )

4 editions published in 2010 in English and held by 407 WorldCat member libraries worldwide

This book will benefit everyone working in or entering the field of quantum gravity research. --Book Jacket
BetaSys : systems biology of regulated exocytosis in pancreatic [beta]-cells( )

8 editions published in 2011 in English and held by 386 WorldCat member libraries worldwide

Elliptic boundary problems for Dirac operators by Bernhelm Booss( Book )

17 editions published between 1993 and 2013 in English and held by 339 WorldCat member libraries worldwide

Elliptic boundary problems have enjoyed interest recently, espe­ cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec­ ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con­ texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif­ ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason
Mathematics and war by Bernhelm Boos-Bavnbek( Book )

13 editions published in 2003 in English and German and held by 303 WorldCat member libraries worldwide

Antologi som beskriver, i hvilken udstrækning det militære system har været den aktive part i forbindelse med udformningen af den moderne matematik og matematikernes karrierer, specielt efter afslutningen af den 2. verdenskrig. Bogen undersøger hvorledes matematisk tænkning, matematiske metoder og matematisk støttet teknologi er ved at ændre karakteren og udførelsen af moderne krigsførelse, samt hvorledes den påvirker såvel offentligheden som det militære etablissement. Ligeledes beskrives de etiske valg, fremragende fysikere som Niels Bohr og matematikeren Alan Turing måtte foretage under krigsforhold, og den behandler spørgsmålet om i hvilken udstrækning generelle, etiske diskussioner kan være retningsgivende for matematikeres arbejde. Sluttelig analyserer bogen den matematiske tænknings rolle i forbindelse med udformningen af internationale love for krig og fred samt matematiske argumenters støtte til løsning af konflikter. Bogen er den første af sin art, og den er baseret på en række indlæg på en konference, som blev afholdt i august 2002 på Blekinge Institute of Technology i Karlskrona i Sverige. I konferencen deltog matematikere, matematik-historikere, krigshistorikere, militære analytikere og filosoffer fra Danmark, Tyskland, Japan, Norge, Rusland, Sverige, England og USA
Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark by Heat Equation Approach Minisymposium on Spectral Invariants( Book )

13 editions published between 1999 and 2012 in English and held by 264 WorldCat member libraries worldwide

Mathematics and the real world : proceedings of an international workshop, Roskilde University Centre (Denmark) 1978 by Bernhelm Booss( Book )

25 editions published in 1979 in 4 languages and held by 259 WorldCat member libraries worldwide

Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 by Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds( Book )

19 editions published between 2004 and 2012 in English and Undetermined and held by 234 WorldCat member libraries worldwide

"In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operators on manifolds. This collection of papers, resulting from a Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, provides a broad picture of these methods with new results. This book is suitable for graduate students and researchers interested in spectral problems in geometry."--Jacket
The Maslov index in symplectic Banach spaces by Bernhelm Booss( Book )

8 editions published in 2018 in English and held by 119 WorldCat member libraries worldwide

As an application, we consider curves of elliptic operators which have varying principal symbol, varying maximal domain and are not necessarily of Dirac type. For this class of operator curves, we derive a desuspension spectral flow formula for varying well-posed boundary conditions on manifolds with boundary and obtain the splitting formula of the spectral flow on partitioned manifolds."--Page v
Mathematisierung der Einzelwissenschaften : Biologie, Chemie, Erdwissenschaften, Geschichtswissenschaft, Linguistik, Medizin, Pädagogik, Physik, Psychologie, Rechtswissenschaft, Soziologie, Theologie, Wirtschaftswissenschaft by Bernhelm Booss( Book )

7 editions published in 1976 in German and Undetermined and held by 103 WorldCat member libraries worldwide

Stimmt es, daB die Wendung zum Methodischen, die die wissenschaftliche Theorie im historischen Verlauf ihrer Entwicklung und Differenzierung genommen hat, mit Notwendigkeit zu Mathematisierungstendenzen fUhrt? Wie sind Tragfiihigkeit, Reichweite und Aussichten mathematischer Metho den in den Einzelwissenschaften zu beurteilen? In welchem Verhiiltnis zueinander stehen mathematische und einzelwissen schaftliche Konzepte? Antwort auf diese Fragen sucht eine in der Griindungsphase der neuen Universitiit Bielefeld gebildete "Mathematisierungskommission" im Hinblick auf eine raschere "Obertragung neuer Methoden und Modellvorstellungen von einer Einzelwissenschaft in eine andere, das Aufspiiren neuer Entwicklungslinien der Mathematisierung und einen theoretischen Vorlauf zur weiteren maschinellen Datenverarbeitung. Bei den folgenden Beitriigen handelt es sich urn die zum Teil nur leicht korrigierten Mitschriften von Vortriigen vor dieser Kommission und urn ergiin zende Stellungnahmen aus am Ort nicht vertretenen Disziplinen, die einen ersten Ansatz zu einer umfassenden Bestandsaufnahme und kritischen Diskussion des Gebrauchs mathematischer Methoden in den verschiedenen Wissenschaften liefern wollen. 1m Mittelpunkt der sich in monatlicher Folge aneinanderschlie l3enden Referate der Vertreter der einzelnen Wissenschaften standen Probleme der Kooperation zwischen ihrer Disziplin und der Mathematik, wobei sie hiiufig von einer populiirwissenschaftlichen Darstellung ihres Fachs nach Art des alten "Studium Generale" ausgingen. Vor demHintergrund ihrer Einschiitzung:welche stiirmischen Entwicklungen hat es in den letzten zwanzig bis fUnfzig Jahren gegeben - und wo herrscht eher Stagnation, zogen die Referenten ein Resiimee bisheriger Beriihrungen ihrer Wissenschaft mit der Mathematik und erorterten Aussichten des weiteren Einsatzes mathematischer Methoden
Index theory with applications to mathematics and physics by David Bleecker( Book )

10 editions published in 2013 in English and held by 81 WorldCat member libraries worldwide

Index Theory with Applications to Mathematics and Physics describes, explains, and explores the Index Theorem of Atiyah and Singer, one of the truly great accomplishments of twentieth-century mathematics whose influence continues to grow, fifty years after its discovery. The Index Theorem has given birth to many mathematical research areas and exposed profound connections between analysis, geometry, topology, algebra, and mathematical physics. Hardly any topic of modern mathematics stands independent of its influence. In this ambitious new work, authors David Bleecker and Bernhelm Booss-Bavnbek give two proofs of the Atiyah-Singer Index Theorem in impressive detail: one based on K-theory and the other on the heat kernel approach. As a preparation for this, the authors explain all the background information on such diverse topics as Fredholm operators, pseudo-differential operators, analysis on manifolds, principal bundles and curvature, and K-theory--carefully and with concern for the reader. Many applications of the theorem are given, as well as an account of some of the most important recent developments in the subject, with emphasis on gauge theoretic physical models and low-dimensional topology. The 18 chapters and two appendices of the book introduce different topics and aspects, often beginning from scratch without presuming full knowledge of all the preceding chapters. Learning paths, through a restricted selection of topics and sections, are suggested and facilitated. The chapters are written for students of mathematics and physics: some for the upper-undergraduate level, some for the graduate level, and some as an inspiration and support for researchers. Index Theory with Applications to Mathematics and Physics is a textbook, a reference book, a survey, and much more. Written in a lively fashion, it contains a wealth of basic examples and exercises. The authors have included many discussion sections that are both entertaining and informative, which illuminate the thinking behind the more general theory. A detailed bibliography and index facilitate the orientation
Elliptische Topologie von Transmissionsproblemen by Bernhelm Booß( Book )

15 editions published between 1971 and 1972 in German and Undetermined and held by 66 WorldCat member libraries worldwide

Das kritische Computerbuch( Book )

3 editions published in 1990 in German and held by 43 WorldCat member libraries worldwide

Trends in mathematics : research, applications, education by Bernhelm Booss( Book )

5 editions published in 1979 in 3 languages and held by 36 WorldCat member libraries worldwide

New paths towards quantum gravity by Bernhelm Booss-Bavnbek( Book )

5 editions published in 2010 in English and held by 34 WorldCat member libraries worldwide

Topologie und Analysis : einführung in die Atiyah-Singer-Indexformel( Book )

2 editions published between 1977 and 1985 in German and English and held by 33 WorldCat member libraries worldwide

BetaSys Systems Biology of Regulated Exocytosis in Pancreatic ß-Cells by Bernhelm Booss( )

8 editions published in 2011 in English and held by 22 WorldCat member libraries worldwide

The insulin secreting [beta]-cell is one of the most specialized cell types with diverse and multi-functional components (genes, gene products, organelles and metabolites) and a multitude of regulatory strategies in response to internal and environmental signals. This book looks at the technological advances that make simultaneous detection of thousands of biological variables possible; at a substantial variety of mathematical models and numerical simulations that aim to explain major aspects of the [beta]-cell function; and at the challenge to formulate a comprehensive and robust model of the main networks of the underlying biochemical and physical processes for diagnostic and therapeutic use
Von Mathematik und Krieg : über die Bedeutung von Rüstung und militärischen Anforderungen für die Entwicklung der Mathematik in Geschichte und Gegenwart by Bernhelm Booss( Book )

9 editions published between 1983 and 1984 in 3 languages and held by 20 WorldCat member libraries worldwide

Beskriver den gensidige afhængighed mellem militære behov og de matematiske muligheder
 
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Analysis, geometry and topology of elliptic operators
Covers
New paths towards quantum gravityBetaSys : systems biology of regulated exocytosis in pancreatic [beta]-cellsMathematics and warGeometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, DenmarkSpectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003New paths towards quantum gravityBetaSys Systems Biology of Regulated Exocytosis in Pancreatic ß-Cells
Alternative Names
Bavnbek Berhelm Booss- 1941-....

Bavnbek, Bernhelm Booss-.

Bavnbek, Bernhelm Booss- 1941-

Bernhelm Booss-Bavnbek Duits wiskundige

Bernhelm Booss-Bavnbek German mathematician

Bernhelm Booss-Bavnbek matemático alemán

Bernhelm Booß-Bavnbek mathématicien allemand

Booss, B.

Booss, B. 1941-

Booss, B. (Bernhelm), 1941-

Booss-Bavnbek, B. 1941-

Booß-Bavnbek, Bernhelm

Booß-Bavnbek, Bernhelm 1941-

Booss, Bernhelm.

Booß, Bernhelm 1941-

Booβ-Bavnbek, Bernhelm

Languages
English (160)

German (51)

Danish (2)