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Revision as of 19:41, 10 June 2021
Pretty pictures version of Read.
Books
Fill in Gaps
Basic Mathematics
Review of arithmetic, basic algegra, trigonemetry, and geometry by Serge Lang.
Calculus
Introduction to Calculus by Tom Apostol.
Road to Differential Geometry and Physics
Sets for Mathematics
Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau.
Linear Algebra
Linear Algabra by Georgi Shilov.
Mechanics
Physics by Lev Landau.
The Classical Theory of Fields
Physics by Lev Landau.
Tensor Analysis on Manifolds
Tensor analysis by Richard Bishop and Samuel Goldberg.
Lectures on Differential Geometry
Differential geometry by Shlomo Sternberg.
Cohomology & Differential Forms
Cohomology and differential forms by Isu Vaisman.
Backbone
Ordinary Differential Equations
Ordinary differential equations by Vladimir Arnold.
Set Theory and Metric Spaces
Set theory and metric spaces by Irving Kaplansky.
Foundations of Analysis
Analysis, intro to numbers, by Edmund Landau.
Principles of Mathematical Analysis
Mathematical analysis by Walter Rudin.
Topology: A Categorical Approach
Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla.
Complex Analysis
Complex analysis by Lars Ahlfors.
Applications of Lie Groups to Differential Equations
Complex analysis by Peter Olver.
Algebra Chapter 0
Complex analysis by Paolo Aluffi.
Algebra
Algebra by Serge Lang.