The Road to Reality

• 1 The roots of science
• 2 An ancient theorem and a modern question
• 3 Kinds of numbers in the physical world
• 4 Magical complex numbers
• 5 Geometry of logarithms, powers, and roots‎‎
• 6 Real-number calculus‎
• 7 Complex-number calculus‎
• 8 Riemann surfaces and complex mappings
• 9 Fourier decomposition and hyperfunctions
• 10 Surfaces‎
• 11 Hypercomplex numbers‎
• 12 Manifolds of n dimensions
• 13 Symmetry groups
• 14 Calculus on manifolds
• 15 Fibre bundles and gauge connections‎
• 16 The ladder of infinity‎
• 17 Spacetime‎
• 18 Minkowskian geometry
• 19 The classical fields of Maxwell and Einstein
• 20 Lagrangians and Hamiltonians‎
• 21 The quantum particle‎
• 22 Quantum algebra, geometry, and spin
• 23 The entangled quantum world‎
• 24 Dirac's electron and antiparticles
• 25 The standard model of particle physics
• 26 Quantum field theory‎
• 27 The Big Bang and its thermodynamic legacy
• 28 Speculative theories of the early universe
• 29 The measurement paradox‎
• 30 Gravity's role in quantum state reduction
• 31 Supersymmetry, supra-dimensionality, and strings
• 32 Einstein’s narrower path; loop variables‎
• 33 More radical perspectives; twistor theory
• 34 Where lies the road to reality?