Yeah, I'm doing a double major in math and either philosophy or critical theory/rhetoric. As such, I mainly work with continental linguistic philosophy. The readings for the Deleuze class are primarily from the volumes of Capitalism and Schizophrenia.
Winter:
Advanced Analysis (Vector Analysis, Fourier Analysis, Differential Geometry)
Graduate History Seminar (On Postcolonialism and the United States' Counterinsurgency doctrine)
Kierkegaard and European Decadence
And on the side, an informal Category Theory seminar/reading group...
Does anyone know of a modern book on algebriac topology developed in a purely categorical framework? I've been recommended Eilenberg and Steenrod (which I may end up getting regardless), but I'm looking for more recent developments in both material and pedagogy.
UW is in summer session now, though. Look on this link (http://www.washington.edu/students/timeschd/SPR2010/phys.html) and see if there are any courses being offered that you'd like to sit in on. If you do find one, be sure to e-mail the professor.
If I were you, I actually would not opt to purchase Larson's text if you wish to truly learn mathematics. Larson's book (as most high school and college texts do) focus on computation and application of mathematical concepts without devoting time to proofs and rigor, which is vitally essential...
All of these are from mathematics.
Introduction to Analysis Rosenlicht
Topoi: The Categorial Analysis of Logic Goldblatt
Mathematical Logic Margaris
Set Theory and the Continuum Hypothesis Cohen
Introduction to Set Theory Suppes
I have a bunch more on my shelf but those are the one's I...
Although the text I'm going to mention is more advanced than the class you've described, I feel that it is indispensable to understanding deep structural connections within physics. It is "Mathematical Physics" by Robert Geroch. It is not computational but proof based, though it gives a very...
Definitely get "How to Prove It." After going through the book in detail, any of the books you listed on algebra, analysis, and topology should be within your grasp (though do not expect it to be necessarily easy!)
I learned from neither of those; rather, I learned from "Baby Rudin." It is, in my opinion, better than either of those books and is representative of higher mathematics texts. The book is entitled "Principles of Mathematical Analysis" by Walter Rudin. It covers the real and complex number...
After finding and reading Geroch's notes on Quantum Mechanics formulated within Differential Geometry, I was wondering if there are other books that treat Quantum Mechanics in a similar fashion, focusing upon the geometrical aspects of Quantum Mechanics in order to formulate it.
Two books immediately come to mind, both by the same authors
Mac Lane and Birkhoff's "Survey of Modern Algebra" and
Mac Lane and Birkhoff's "Algebra"
The latter is more advanced than the former and is more comprehensive. I am a big fan of Mac Lane's mathematical style: rigorous and...
I'm quite fond of Morris and Tenenbaum's https://www.amazon.com/dp/0486649407/?tag=pfamazon01-20. I used it in conjunction with the Boyce and DiPrima book and found Tenenbaum to be far superior in terms of coverage and clarity.
I'd recommend Mac Lane and Birkhoff's "Algebra". It was my first modern algebra book and it is fantastic; covering categories, lattices, groups, rings, fields, and linear and multilinear algebra in a concise, illuminating, and rigorous way.
The books I listed were quite good, often more pedagogical than most texts, and are successful at accompanying much harder texts usually used in courses or bridging the gap between numerical and proof-based mathematics. Also, while it is good to think ahead, you give no indication that you've...