- Algebra (Linear Algebra)
- Calculus & Analysis
- Physics
Many university curricula include linear algebra and vector calculus. Physics is mandatory for all engineering disciplines.
Therefore, my suggestion would be to preserve the language of our universe and abstract thinking patterns (i.e. mathematics) and the rules of our universe (i.e., physics).
Those 2 are the absolute minimum, I would say, to rebuild modern civilization from scratch.
MATHEMATICS
- Linear Algebra by Friedberg, Insel and Spence.
- Linear Algebra Done Right by Sheldon Axler
- Linear Algebra Done Wrong by Sergei Treil
- An Illustrative Guide to Multivariable and Vector Calculus
- Vector Calculus by Tromba & Marsden
- Vector Calculus by Colley
PHYSICS
- Fundamentals of Physics by Jearl Walker
- The Theoretical Mimimum by Susskind
EXTRAS
- Measurement by Lockhart
- Code by Petzold
- Structure and Interpretation of Computer Programs
- Books by the ancient Greeks