tudor queens series
Search our site
Persons Unknown by Susie Steiner Read the opening extract of the brand new Susie Steiner book before its publication on 05/04/2018

Continuous Geometry by John Von Neumann, Israel Halperin


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.


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


John Von Neumann, Israel Halperin

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


Princeton University Press


312 pages





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

Megan Olwen William

Their sending me my first book to review 18 months ago re-awakened my fondness for reading, since then I have purchased some real gems.

Barry Griffiths

Lovereading tells me about new books before they hit the shelves, lets me find other authors I may like and has great prize draws!

Sheila Dale

Lovereading always comes up with great suggestions and has introduced me to enjoyable books and new authors to discover.

Gaynor Passmore

Thanks to Lovereading I have discovered new writers and read books I would never had looked twice at - and enjoyed them.

Angela Rhodes

Why I love @lovereadinguk? It's in the name - as dedicated lovers of reading, they are perfect matchmakers for helping me find my next read!

Catherine Jenkins

For me, to read is to learn, to reflect, to escape, to think, to contemplate and my time for space and calm.

Sally Ellsmore

I love the newsletter with reviews of all the new books coming out. Can't wait to open it when it arrives in my inbox.

Rachel Aygin