likeyoulove
Search our site
Are You Sleeping by Kathleen Barber Read the opening extract of the brand new Kathleen Barber book before its publication on 27/12/2017

Continuous Geometry by John Von Neumann, Israel Halperin
  

Synopsis

Continuous Geometry by John Von Neumann, Israel Halperin

In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, von Neumann founded the field of continuous geometry. This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry, dimension theory, and--for the irreducible case--the function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries, for which irreducibility is not assumed. For students and researchers interested in ring theory or projective geometries, this book is required reading.

Reviews

This historic book should be in the hands of everyone interested in rings and projective geometry. --R. J. Smith, The Australian Journal of Science Much in this book is still of great value, partly because it cannot be found elsewhere ... partly because of the very clear and comprehensible presentation. This makes the book valuable for a first study of continuous geometry as well as for research in this field. --F. D. Veldkamp, Nieuw Archief voor Wiskunde


About the Author

John von Neumann (1903-1957) was a Permanent Member of the Institute for Advanced Study in Princeton.

More books by this author
Author 'Like for Like' recommendations

Loading other formats...

Book Info

Publication date

20th April 1998

Author

John Von Neumann, Israel Halperin

More books by John Von Neumann, Israel Halperin
Author 'Like for Like'
    recommendations

Publisher

Princeton University Press

Format

Paperback
312 pages

Categories

Geometry
Topology

ISBN

9780691058931

Books of the month/debuts of the month, kids/adults, fiction/non-fiction, free prize draws and free extracts, what's not to love?

Emma Smith

At Lovereading there are fabulous books available in every genre, with great reviews to help you pick the right book for you.

Teresa O'Halloran

It has opened my eyes to different authors and genres. Just log on and try, you will be surprised and not want for reading material again.

Jocelyn Garvey

Hooked on books? Give Lovereading a go - for the chance to discover brilliant books, and to see why our members love it so.

Claire Hill

I love Lovereading because of its ability to connect people that love books & unite them in a friendly, stimulating & interesting community.

Megan Olwen William

It's the first site that I visit when deciding on the next set of books to buy. A particular treat is being able to download an extract.

Tessa Olson

My horizons have been broadened by some of the books I have been lucky to review and I expect it to be no different in the future.

Daran Bellingham

Ever purchased a book, read a few pages & thought I'm not going to enjoy this? Honest book reviews mean you'll never have that problem again

Jill Peters

Lovereading4kids

Lovereading4schools