Books
Foundational texts in mathematics and physics that I'm working through, with solutions and expository notes.
Calculus on Manifolds
Michael Spivak (1965)
A rigorous treatment of multivariable calculus leading to differential forms and Stokes' theorem on manifolds.
analysis differential-geometry manifolds
Visual Group Theory
Nathan Carter (2009)
An accessible introduction to abstract algebra using visual representations, Cayley diagrams, and symmetry groups to build intuition before formalism.
group-theory abstract-algebra symmetry
Linear Algebra and Its Applications
Peter D. Lax (2007)
A sophisticated treatment of linear algebra emphasizing connections to analysis, differential equations, and numerical methods.
linear-algebra spectral-theory functional-analysis