recs

Textbooks & co

Unless marked by ?, these are documents that I have read significant portions of and found helpful in my studies. They are roughly sorted by stars in their difficulty. Their categories are approximate, and get increasingly blended with each other at the more advanced levels.

* light: no prerequisites
** introductory: requires some mathematical maturity
*** medium: a more sophisticated second exposure
**** advanced: requires specialized mathematical background
***** hella advanced

• Math
  • Discrete: modulos, graphs, cryptography
    • * Rosen - Discrete Mathematics (book)
  • Algebras: linear, clifford, geometric
    • * Treil - Linear Algebra Done Wrong (book)
    • * Strang - Linear Algebra and Its Applications (book)
    • ** Eigenchris - Tensors for Beginners (videos)
    • *** Axler - Linear Algebra Done Right (book)
    • *** Eigenchris - Tensor Calculus (videos)
    • *** Eigenchris - Spinors for Beginners (videos)
  • Analysis
    • **? Ross - Elementary Analysis (book)
    • ***? Rudin - Principles of Mathematical Analysis (book)
  • Miscellaneous
    • ** Boas - Mathematical Physics (book)
• Physics
  • Astrophysics: stars, planets, galaxies, cosmology
    • * Fix - Astronomy: Journey to the Cosmic Frontier (book)
    • ** Liddle - An Introduction to Modern Cosmology (book)
    • ** Carroll & Ostlie - Introduction to Modern Astrophysics (book)
    • ** Tong - Cosmology (notes)
    • *** Dodelson & Schmidt - Modern Cosmology (book)
  • Classical mechanics: newtonian, lagrangian, hamiltonian, special relativity
    • ** Giancoli - Principles of Physics (part I) (book)
    • *** Kleppner & Kolenkow - Introduction to Classical Mechanics (book)
    • *** Morin - Introduction to Classical Mechanics (book)
    • **** Tong - Classical Dynamics (notes)
    • **** Helliwell & Sahakian - Modern Classical Mechanics (book)
  • Electromagnetism: circuits, fields, radiation
    • * Giancoli - Principles of Physics (part II)
    • ** Hughes - Electricity and Magnetism (notes)
    • ** Purcell - Electricity and Magnetism (book)
    • *** Griffiths - Introduction to Electrodynamics (book)
    • ****? Jackson - Classical Electrodynamics (book)
  • General relativity:
    • **** Eigenchris - Relativity (videos)
    • **** Tong - General Relativity (notes)
    • **** Carroll - Spacetime and Geometry (book)
    • *****? Kriele - General Relativity and Differential Geometry (book)
  • Quantum mechanics:
    • ** Quantum Sense - Maths of Quantum Mechanics (videos)
    • ** French & Taylor - Introduction to Quantum Physics (book)
    • ** Tong - Quantum Mechanics (notes)
    • ** Griffiths - Introduction to Quantum Mechanics (book)
    • ** Tong - Introduction to Particle Physics (notes)
    • ***? Shankar - Principles of Quantum Mechanics (book)
    • ****? Tong - Gauge Theory (notes)
    • ****? Tong - Quantum Field Theory (notes)
  • Statistical mechanics
    • **? Blundell & Blundell - Concepts in Thermal Physics (book)
    • **? Schroeder - An Introduction to Thermal Physics (book)
    • **? Tong - Statistical Physics (notes)
  • Miscellaneous
    • * Susskind & Hrabovsky - The Theoretical Minimum (book)
    • **? Susskind & Friedman - Special Relativity and Classical Field Theory (book)
    • ***? Lindner - A Complete Guide to Theoretical Physics (book)

My own notes

For trashier notes on select astrophysics stuff, head here!