Fundamentals of Calculus, Special Relativity and Quantum mechanics

Front Matter

 * 1) /About this book/

Part 1

 * 1) Basic calculus and other mathematical concepts
 * 2) /Derivatives/
 * 3) /Integrals/
 * 4) /Logarithms/
 * 5) /Variances/
 * 6) /Dot product/
 * 7) Fundamentals of special relativity
 * 8) /Lorentz transformation/
 * 9) /Relativistic velocity/
 * 10) /Relativistic mass and momentum/
 * 11) /Four-vectors/

Part 2

 * 1) Advanced mathematics and applications of the above-learnt
 * 2) /Taylor series/
 * 3) /Chain rule/
 * 4) /Product rule/
 * 5) /Properties of logarithms/
 * 6) /Derivatives of e/
 * 7) /Euler's formula and identity/
 * 8) More special relativity and fundamentals of quantum mechanics
 * 9) /Harmonic oscillator/
 * 10) /Photoelectric effect/
 * 11) /Energy-mass equivalence/
 * 12) /De Broglie wavelength/
 * 13) /Wave-particle duality/

Part 3

 * 1) Quantum mechanics
 * 2) /Double-slit experiment/
 * 3) /Quantum tunnelling/
 * 4) /Wave equation/
 * 5) /Quantum states and superposition/
 * 6) Other mathematical concepts
 * 7) /Inner product spaces and Hilbert spaces/

Part 4

 * 1) Advanced quantum mechanics
 * 2) /Operators/
 * 3) /Schrodinger equation/
 * 4) /Heisenberg uncertainty principle/

Part 5

 * 1) /Intuitive understanding of the Hawking Radiation/