User:Aardvark/Read

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Books

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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.