Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. The new edition of this text includes two additional chapters, one on the gauge group of a bundle and the other on the differential forms representing characteristic classes of complex vector bundles on manifolds.

Fibre bundles (Graduate texts in mathematics 20)

Science & Math

Husemöller, Dale

Mathematics

Springer, Verlag

Fibre Bundles (Graduate Texts in Mathematics, 20)

Springer

First Edition sold over 2500 copies in the Americas; New Edition contains three new chapters and two new appendices

Elliptic Curves (Graduate Texts in Mathematics, 111)

First Edition sold over 2500 copies in the Americas; New Edition contains three new chapters and two new appendices

Elliptic Curves (Graduate Texts in Math, Vol 111)

Husm, Oller Dale

Elliptic Curves (Graduate Texts in Mathematics)

Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological K-theory. 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, comes from quantum field theory, where topological invariants play an important role.

Basic Bundle Theory and K-Cohomology Invariants (Lecture Notes in Physics, 726)

Schottenloher, Martin

Joachim, Michael

Jurčo, Branislav

Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological K-theory. 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, comes from quantum field theory, where topological invariants play an important role.

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 self-contained, 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 . . . . . . . .

Symmetric Bilinear Forms (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)

Milnor, John

See the best price to sell, buy, or rent books by Husemöller, Dale. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Husemöller, Dale

See the best price to sell, buy, or rent books by Husemöller, Dale. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Fibre bundles (Graduate texts in mathematics 20)

Fibre Bundles (Graduate Texts in Mathematics, 20)

Elliptic Curves (Graduate Texts in Mathematics, 111)

Elliptic Curves (Graduate Texts in Math, Vol 111)

Elliptic Curves (Graduate Texts in Mathematics)

Fibre Bundles (Graduate Texts in Mathematics, 20)

Basic Bundle Theory and K-Cohomology Invariants (Lecture Notes in Physics, 726)

Basic Bundle Theory and K-Cohomology Invariants (Lecture Notes in Physics, 726)

Symmetric Bilinear Forms (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)