10,329 reputation
14673
bio website vmm.math.uci.edu
location Univ. of California at Irvine
age 83
visits member for 4 years, 5 months
seen Nov 14 at 16:05
I'm a Professor at UC Irvine, but spent most of my career at Brandeis. My research areas: Differential Topology, Transformation Groups, and Global Analysis. Recently I developed a math visualization program, 3D-XplorMath, freely available at http://3D-XplorMath.org) and a companion website, the Virtual Math Museum at http://VirtualMathMuseum.org. Last year I co-authored a differential equations text with my son Bob, most of which is downloadable from http://ode-math.com .

Aug
25
awarded  Nice Answer
Aug
25
revised Square root of a positive $C^\infty$ function.
improved citation
Aug
25
comment Square root of a positive $C^\infty$ function.
Yes, and functions of this type are discussed in section 2 of the reference I gave in my answer.
Aug
25
answered Square root of a positive $C^\infty$ function.
Aug
24
answered Measure theory treatment geared toward the Riesz representation theorem
Aug
16
awarded  Guru
Aug
15
awarded  Enlightened
Aug
15
awarded  Good Answer
Aug
15
comment About a letter by Richard Palais of 1965.
@Mariano: Yes, I guess that was a pretty verbose "no". :-) Dick
Aug
15
awarded  Nice Answer
Aug
15
answered About a letter by Richard Palais of 1965.
Jul
13
comment angle between subspaces
Didn't you try Google? If you put "angle between subspaces" into Google you will find a ton of stuff there.
Jul
5
comment Music: mathematical point of view (revised)
@David Feldman: THANKS! Just the sort of thing I was looking for. Interesting that he is now an emeritus professor at UCSC. I was there for a couple of years (1975-77) and wonder if we overlapped.
Jul
5
answered Music: mathematical point of view (revised)
Jul
4
awarded  Yearling
May
31
comment Can anyone recommand a good textbook for self-learning linear algebra?
I will happily second these three suggestions. Halmos book was my introduction to Linear Algebra and I loved it.--- Dick Palais
May
11
comment What is / are the softwares to use to draw surfaces of the form of a two or three-holed torus , or torus, or torus with cusps attached to it?
@Neil "The pain arises when you want to build a 3D digital model from a mental image or 2D sketch, and you do not have equations of any kind. ...I could not see anything in the 3D-XplorMath that would help with that - am I missing something? " You are correct that 3D-XplorMath is NOT a drawing program, but what was being asked for here was a way of showing higher genus surfaces using implicit equations, and 3D-XplorMath has a user-defined object in almost every category of objects (and in particular in implicit surfaces) allowing one to create objects and see them just by writing equations
May
11
comment What is / are the softwares to use to draw surfaces of the form of a two or three-holed torus , or torus, or torus with cusps attached to it?
@Neil Those are nice images. But please have a look at the 3D-XplorMath Mathematical Visualization program and the Virtual Math Museum mentioned in my answer below. We have worked hard to provide high quality images for use in articles such as yours and also the tools for creating them easily, precisely to avoid people having to continually reinvent the wheel and the resulting "extremely painful" experiences you mention.
May
11
answered Softwares for drawing hyperbolic surfaces , closed, with boundaries or with punctures ?
May
11
answered What is / are the softwares to use to draw surfaces of the form of a two or three-holed torus , or torus, or torus with cusps attached to it?