The Selected Works of J. Frank Adams

The Selected Works of J. Frank Adams
Author: John Frank Adams
Publisher: Cambridge University Press
Total Pages: 564
Release: 1992-10-07
Genre: Mathematics
ISBN: 9780521410632

The selected works of one the greatest names in algebraic topology.

Guide to Information Sources in Mathematics and Statistics

Guide to Information Sources in Mathematics and Statistics
Author: Martha A. Tucker
Publisher: Bloomsbury Publishing USA
Total Pages: 362
Release: 2004-09-30
Genre: Language Arts & Disciplines
ISBN: 0313053375

This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.

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
Total Pages: 0
Release: 2010-01-14
Genre: Mathematics
ISBN: 9780521110679

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
Total Pages: 384
Release: 1974
Genre: Mathematics
ISBN: 0226005240

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
Total Pages: 192
Release: 1982
Genre: Mathematics
ISBN: 0226005305

"[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