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Fundamentals of Calculus, Special Relativity and Quantum mechanics

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Front Matter[edit | edit source]

  1. About this book

Part 1[edit | edit source]

  1. Basic calculus and other mathematical concepts
    1. Derivatives 75% developed
    2. Integrals 0% developed
    3. Logarithms 0% developed
    4. Variances 0% developed
    5. Dot product 0% developed
  2. Fundamentals of special relativity
    1. Lorentz transformation 0% developed
    2. Relativistic velocity 0% developed
    3. Relativistic mass and momentum 0% developed
    4. Four-vectors 0% developed

Part 2[edit | edit source]

  1. Advanced mathematics and applications of the above-learnt
    1. Taylor series 0% developed
    2. Chain rule 0% developed
    3. Product rule 0% developed
    4. Properties of logarithms 0% developed
    5. Derivatives of e 0% developed
    6. Euler's formula and identity 0% developed
  2. More special relativity and fundamentals of quantum mechanics
    1. Harmonic oscillator 0% developed
    2. Photoelectric effect 0% developed
    3. Energy-mass equivalence 0% developed
    4. De Broglie wavelength 0% developed
    5. Wave-particle duality 0% developed

Part 3[edit | edit source]

  1. Quantum mechanics
    1. Double-slit experiment 0% developed
    2. Quantum tunnelling 0% developed
    3. Wave equation 0% developed
    4. Quantum states and superposition 0% developed
  2. Other mathematical concepts
    1. Inner product spaces and Hilbert spaces 0% developed

Part 4[edit | edit source]

  1. Advanced quantum mechanics
    1. Operators 0% developed
    2. Schrodinger equation 0% developed
    3. Heisenberg uncertainty principle 0% developed

Part 5[edit | edit source]

  1. Intuitive understanding of the Hawking Radiation 0% developed
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