Update (April 2022): I'll be moving to Carnegie Mellon.
I don't know why I made this site, but I'm glad you found it.
random: some Mathematica code that computes the Casimir elt of the adjoint repn of sl(2, F) and sl(3, F)
sl(2,F) acting on sl(3,F) via ad.
some 630 notes.
I realized somewhen this past year there's a psi in epsilon
What I found really useful
- “Don’t just read the book, do the exercises!” — Patrick Brosnan
useful but elusive
some books I like
- Artin’s Algebra ← good introduction, very well-written, covers a good deal of linear algebra. A lot of cute little details were added to the second edition. Beware of pitfalls consisting of typos when reading the first edition. This was where I first learned algebra, and I remember spending forty minutes in utter confusion staring at an example of a coset, only to figure out a comma was missing. (these Math E-222 Abstract Algebra lectures may be helpful)
- Lang's Algebra ← has good problems
- Arnol'd's Ordinary Differential Equations ← I never really read it.
- Morton Curtis's Abstract Linear Algebra ← clean treatment of the abstract stuff. Careful reader will notice there are two Curtises, both have written linear algebra books...
- Gelbaum + Olmsted's Counterexamples in Analysis ← casual
- Steen + Seebach Jr.'s Counterexamples in Topology ← "these things exist... what about me"
- Warner's Foundations of Differentiable Manifolds and Lie Groups ← I like it more than I can understand it.
- Lang's Real and Functional Analysis ← another Serge Lang book.
- Deitmar's A First Course in Harmonic Analysis ← Allan Yashinski recommended the papa version of this book when I asked him for references on Pontryagin duality. Then he found this more gentle introduction. The problems are short and sweet and can be used to boost confidence when one gets stuck on other course work...
- Süli + Meyers's An Introduction to Numerical Analysis ← fun place to apply your theory!
- Conway's Functions of One Complex Variable ← mostly pleasant treatment of the intro complex stuff.
good for life
note: the above lists are not complete but life is short