The Selected Works of J. Frank Adams

The Selected Works of J. Frank Adams

Author: J. Frank Adams

Publisher: Cambridge University Press

Published: 1992-10-07

Total Pages: 0

ISBN-13: 9780521410632

DOWNLOAD EBOOK

This selection of Adams' work in two volumes brings together all his major research contributions. They are organized by subject matter rather than in strict chronological order. The first volume contains papers on the cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem, applications of K-theory, generalized homology and cohomology theories. The second volume is mainly concerned with Adams' contributions to characteristic classes and calculations in K-theory, modules over the Steenrod algebra and their Ext groups, finite H-spaces and compact Lie groups, and maps between classifying spaces and compact groups.


Stable Homotopy and Generalised Homology

Stable Homotopy and Generalised Homology

Author: John Frank Adams

Publisher: University of Chicago Press

Published: 1974

Total Pages: 384

ISBN-13: 0226005240

DOWNLOAD EBOOK

J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of which are published in this classic in algebraic topology. The three series focused on Novikov's work on operations in complex cobordism, Quillen's work on formal groups and complex cobordism, and stable homotopy and generalized homology. Adams's exposition of the first two topics played a vital role in setting the stage for modern work on periodicity phenomena in stable homotopy theory. His exposition on the third topic occupies the bulk of the book and gives his definitive treatment of the Adams spectral sequence along with many detailed examples and calculations in KU-theory that help give a feel for the subject.


Lectures on Lie Groups

Lectures on Lie Groups

Author: J. F. Adams

Publisher: University of Chicago Press

Published: 1982

Total Pages: 192

ISBN-13: 0226005305

DOWNLOAD EBOOK

"[Lectures in Lie Groups] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic results for compact Lie groups. . . . The book is a well written basic text [and Adams] has done a service to the mathematical community."—Irving Kaplansky


New Dictionary of Scientific Biography

New Dictionary of Scientific Biography

Author: Noretta Koertge

Publisher: Scribner

Published: 2008

Total Pages: 538

ISBN-13:

DOWNLOAD EBOOK

Also available online as part of the Gale Virtual Reference Library under the title Complete dictionary of scientific biography.


Algebraic Topology

Algebraic Topology

Author: J. F. Adams

Publisher: Cambridge University Press

Published: 1972-04-27

Total Pages: 309

ISBN-13: 0521080762

DOWNLOAD EBOOK

This set of notes, for graduate students who are specializing in algebraic topology, adopts a novel approach to the teaching of the subject. It begins with a survey of the most beneficial areas for study, with recommendations regarding the best written accounts of each topic. Because a number of the sources are rather inaccessible to students, the second part of the book comprises a collection of some of these classic expositions, from journals, lecture notes, theses and conference proceedings. They are connected by short explanatory passages written by Professor Adams, whose own contributions to this branch of mathematics are represented in the reprinted articles.


The Selected Works of J. Frank Adams: Volume 1

The Selected Works of J. Frank Adams: Volume 1

Author: J. Frank Adams

Publisher: Cambridge University Press

Published: 2010-01-14

Total Pages: 0

ISBN-13: 9780521110679

DOWNLOAD EBOOK

This selection of Adams' work in two volumes brings together all his major research contributions. They are organized by subject matter rather than in strict chronological order. The first volume contains papers on the cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem, applications of K-theory, generalized homology and cohomology theories. The second volume is mainly concerned with Adams' contributions to characteristic classes and calculations in K-theory, modules over the Steenrod algebra and their Ext groups, finite H-spaces and compact Lie groups, and maps between classifying spaces and compact groups.