Paul Renteln's Home Page

I am an emeritus professor of physics at California State University, San Bernardino.  My research interests currently lie in the field of combinatorics.  I am particularly interested in algebraic combinatorics, extremal combinatorics, graph theory, hyperplane arrangements and reflection groups, combinatorial commutative algebra, and enumerative combinatorics. I have done work in general relativity and quantum gravity.


Manifolds, Tensors, and Forms
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My book Manifolds, Tensors, and Forms:  An Introduction for Mathematicians and Physicists was published by Cambridge University Press.  Copies can be ordered from the CUP website (in hardcover and electronic format) and from Amazon (hardcover).  Instructors who adopt the book for use in courses can download the solutions manual by registering online at the CUP website.   I welcome comments on the book or the solutions manual, and I would be grateful if you would notify me at prenteln at csusb.edu if you find any errors (typographical or otherwise).   Please download the most recent list of errata here.  Also, by popular demand a symbol table is available here.


Here is a list of my papers, some of which are downloadable.


Here is a list of expository lecture notes, some of which are downloadable.




A warning about mathematics.


Some links:


Contact Information:

email:    prenteln at csusb dot edu


Last modified:  1 August 2020

Notice:  All the information on this page and the pages to which it is linked (directly or indirectly) is subject to change without notice.