Front Matter
Part 1
- Basic calculus and other mathematical concepts
- Derivatives
- Integrals
- Logarithms
- Variances
- Dot product
- Fundamentals of special relativity
- Lorentz transformation
- Relativistic velocity
- Relativistic mass and momentum
- Four-vectors
Part 2
- Advanced mathematics and applications of the above-learnt
- Taylor series
- Chain rule
- Product rule
- Properties of logarithms
- Derivatives of e
- Euler's formula and identity
- More special relativity and fundamentals of quantum mechanics
- Harmonic oscillator
- Photoelectric effect
- Energy-mass equivalence
- De Broglie wavelength
- Wave-particle duality
Part 3
- Quantum mechanics
- Double-slit experiment
- Quantum tunnelling
- Wave equation
- Quantum states and superposition
- Other mathematical concepts
- Inner product spaces and Hilbert spaces
Part 4
- Advanced quantum mechanics
- Operators
- Schrodinger equation
- Heisenberg uncertainty principle
Part 5
- Intuitive understanding of the Hawking Radiation
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