Husemöller, Dale
Overview
Works:  15 works in 180 publications in 6 languages and 4,195 library holdings 

Roles:  Author 
Classifications:  QA612.6, 512.944 
Publication Timeline
.
Most widely held works by
Dale Husemöller
Fibre bundles by
Dale Husemöller(
Book
)
77 editions published between 1966 and 2012 in 6 languages and held by 1,286 WorldCat member libraries worldwide
The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950 the defini tion of fibre bundle had been clearly formulated, the homotopy classifica tion of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians, Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in 1950, gave a coherent treatment of the subject up to that time. About 1955 Milnor gave a construction of a universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal. During the five years from 1950 to 1955, Hirzebruch clarified the notion of characteristic class and used it to prove a general RiemannRoch theorem for algebraic varieties. This was published in his Ergebnisse Monograph. A systematic development of characteristic classes and their applications to manifolds is given in Part III and is based on the approach of Hirze bruch as modified by Grothendieck
77 editions published between 1966 and 2012 in 6 languages and held by 1,286 WorldCat member libraries worldwide
The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950 the defini tion of fibre bundle had been clearly formulated, the homotopy classifica tion of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians, Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in 1950, gave a coherent treatment of the subject up to that time. About 1955 Milnor gave a construction of a universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal. During the five years from 1950 to 1955, Hirzebruch clarified the notion of characteristic class and used it to prove a general RiemannRoch theorem for algebraic varieties. This was published in his Ergebnisse Monograph. A systematic development of characteristic classes and their applications to manifolds is given in Part III and is based on the approach of Hirze bruch as modified by Grothendieck
Elliptic curves by
Dale Husemöller(
Book
)
34 editions published between 1975 and 2011 in 3 languages and held by 857 WorldCat member libraries worldwide
This book is an introduction to the theory of elliptic curves, ranging from elementary topics to current research. The first chapters, which grew out of Tate's Haverford Lectures, cover the arithmetic theory of elliptic curves over the field of rational numbers. This theory is then recast into the powerful and more general language of Galois cohomology and descent theory. An analytic section of the book includes such topics as elliptic functions, theta functions, and modular functions. Next, the book discusses the theory of elliptic curves over finite and local fields and provides a survey of results in the global arithmetic theory, especially those related to the conjecture of Birch and SwinnertonDyer. This new edition contains three new chapters. The first is an outline of Wiles's proof of Fermat's Last Theorem. The two additional chapters concern higherdimensional analogues of elliptic curves, including K3 surfaces and CalabiYau manifolds. Two new appendices explore recent applications of elliptic curves and their generalizations. The first, written by Stefan Theisen, examines the role of CalabiYau manifolds and elliptic curves in string theory, while the second, by Otto Forster, discusses the use of elliptic curves in computing theory and coding theory. About the First Edition: "All in all the book is well written, and can serve as basis for a student seminar on the subject."G. Faltings, Zentralblatt
34 editions published between 1975 and 2011 in 3 languages and held by 857 WorldCat member libraries worldwide
This book is an introduction to the theory of elliptic curves, ranging from elementary topics to current research. The first chapters, which grew out of Tate's Haverford Lectures, cover the arithmetic theory of elliptic curves over the field of rational numbers. This theory is then recast into the powerful and more general language of Galois cohomology and descent theory. An analytic section of the book includes such topics as elliptic functions, theta functions, and modular functions. Next, the book discusses the theory of elliptic curves over finite and local fields and provides a survey of results in the global arithmetic theory, especially those related to the conjecture of Birch and SwinnertonDyer. This new edition contains three new chapters. The first is an outline of Wiles's proof of Fermat's Last Theorem. The two additional chapters concern higherdimensional analogues of elliptic curves, including K3 surfaces and CalabiYau manifolds. Two new appendices explore recent applications of elliptic curves and their generalizations. The first, written by Stefan Theisen, examines the role of CalabiYau manifolds and elliptic curves in string theory, while the second, by Otto Forster, discusses the use of elliptic curves in computing theory and coding theory. About the First Edition: "All in all the book is well written, and can serve as basis for a student seminar on the subject."G. Faltings, Zentralblatt
Symmetric bilinear forms by
John W Milnor(
Book
)
26 editions published between 1970 and 2014 in 5 languages and held by 485 WorldCat member libraries worldwide
The theory cf quadratic forms and the intimately related theory of sym metrie bilinear forms have a lang and rich his tory, highlighted by the work of Legendre, Gauss, Minkowski, and Hasse. (Compare [Dickson] and [Bourbaki, 24, p. 185].) Our exposition will concentrate on the rela tively recent developments which begin with and are inspired by Witt's 1937 paper "Theorie der quadratischen Formen in beliebigen Körpern." We will be particularly interested in the work of A. Pfister and M. Knebusch. However, some older material will be described, particularly in Chapter II. The presentation is based on lectures by Milnor at the Institute for Ad vanced Study, and at Haverford College under the Phillips Lecture Pro gram, during the Fall of 1970, as weIl as Iectures at Princeton University il1 1966. We want to thank J. Cunningham, M. Knebusch, M. Kneser, A. Rosenberg, W. Scharlau and J.P. Serre for helpful suggestions and corrections. Prerequisites. The reader should be familiar with the rudiments of algebra., incJuding for example the concept of tensor product for mo dules over a commutative ring. A few individual sections will require quite a bit more. The logical relationship between the various chapters can be roughly described by the diagram below. There are also five appendices, largely selfcontained, which treat special topics. I. Arbitrary commutative rings I H. The ring of V. Miscellaneous IIl. Fields integers examples IV. Dedekind domains Contents Chapter r. Basie Coneepts
26 editions published between 1970 and 2014 in 5 languages and held by 485 WorldCat member libraries worldwide
The theory cf quadratic forms and the intimately related theory of sym metrie bilinear forms have a lang and rich his tory, highlighted by the work of Legendre, Gauss, Minkowski, and Hasse. (Compare [Dickson] and [Bourbaki, 24, p. 185].) Our exposition will concentrate on the rela tively recent developments which begin with and are inspired by Witt's 1937 paper "Theorie der quadratischen Formen in beliebigen Körpern." We will be particularly interested in the work of A. Pfister and M. Knebusch. However, some older material will be described, particularly in Chapter II. The presentation is based on lectures by Milnor at the Institute for Ad vanced Study, and at Haverford College under the Phillips Lecture Pro gram, during the Fall of 1970, as weIl as Iectures at Princeton University il1 1966. We want to thank J. Cunningham, M. Knebusch, M. Kneser, A. Rosenberg, W. Scharlau and J.P. Serre for helpful suggestions and corrections. Prerequisites. The reader should be familiar with the rudiments of algebra., incJuding for example the concept of tensor product for mo dules over a commutative ring. A few individual sections will require quite a bit more. The logical relationship between the various chapters can be roughly described by the diagram below. There are also five appendices, largely selfcontained, which treat special topics. I. Arbitrary commutative rings I H. The ring of V. Miscellaneous IIl. Fields integers examples IV. Dedekind domains Contents Chapter r. Basie Coneepts
Lectures on cyclic homology by
Dale Husemöller(
Book
)
15 editions published in 1991 in English and held by 173 WorldCat member libraries worldwide
15 editions published in 1991 in English and held by 173 WorldCat member libraries worldwide
Basic bundle theory and Kcohomology invariants by
Dale Husemöller(
Book
)
18 editions published between 2007 and 2008 in English and held by 166 WorldCat member libraries worldwide
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological Ktheory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, which has developed for almost 50 years in many directions, comes from quantum field theory, especially string theory, where topological invariants play an important role
18 editions published between 2007 and 2008 in English and held by 166 WorldCat member libraries worldwide
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological Ktheory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, which has developed for almost 50 years in many directions, comes from quantum field theory, especially string theory, where topological invariants play an important role
Basic bundle theory and Kcohomology invariants(
)
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
Fibre bundles (third edition) by
Dale Husemöller(
Book
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
ELLIPTIC CURVES (1) by
Dale Husemöller(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Classification and embeddings of surfaces by
Enrico Bombieri(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Geometric properties of curves defined over number fields(
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
'Nobody really understands'  dementia and the world of family carers by
Dale Husemöller(
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Geometric properties of curves defined over number fields by
Fedor Bogomolov(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
FIBRE BUNDLES (1) by
Dale Husemöller(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Symmetric bilinear forms by
John W Milnor(
)
1 edition published in 1973 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1973 in English and held by 0 WorldCat member libraries worldwide
Basic Bundle Theory and Kcohomology Invariants by
Dale Husemöller(
Book
)
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological Ktheory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, which has developed for almost 50 years in many directions, comes from quantum field theory, especially string theory, where topological invariants play an important role
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological Ktheory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, which has developed for almost 50 years in many directions, comes from quantum field theory, especially string theory, where topological invariants play an important role
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Related Identities
 Milnor, John W. (John Willard) 1931 Author
 Tata Institute of Fundamental Research
 Lawrence, Ruth Author of introduction
 Forster, Otto 1937 Author of introduction
 Milnor, John Author
 Echterhoff, Siegfried
 Theisen, Stefan Author of introduction
 Sujatha, R.
 Fredenhagen, Stefan
 Krötz, Bernhard
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Alternative Names
Ch'juzmoller, D.
Ch'juzmoller, D. 1940
Dale Husemöller American mathematician
Dale Husemöller Amerikaans wiskundige
Dale Husemöller USamerikanischer Mathematiker
Hjuzmoller, D.
Husemöller, D.
Husemöller, D. (Dale)
Husemöller, Dale
Husemoller, Dale 1940
Husemöller, Dale H.
Husmöller, Dale.
H'ûzmoller, D.
Khʹi︠u︡zmoller, D.
Khʹi︠u︡zmoller, D. (Dėĭl)
Khʹi︠u︡zmoller, Dėĭl
Хьюзмоллер, Дзйл
フーズモラー, D.
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