The road to reality : a complete guide to the laws of the universe

Indhold: The roots of science ; An ancient theorem and a modern question ; Kinds of number in the physical world ; Magical complex numbers ; Geometry of logarithms, powers, and roots ; Real-number calculus ; Complex-number calculus ; Riemann surfaces and complex mappings ; Fourier decomposition and hyperfunctions ; Surfaces ; Hypercomplex numbers ; Manifolds of n dimensions ; Symmetry groups ; Calculus on manifolds ; Fibre bundles and gauge connections ; The ladder of infinity ; Spacetime ; Minkowskian geometry ; The classical fields of Maxwell and Einstein ; Lagrangians and Hamiltonians ; The quantum particle ; Quantum algebra, geometry, and spin ; The entangled quantum world ; Dirac's electron and antiparticles ; The standard model of particle physics ; Quantum field theory ; The Big Bang and its thermodynamic legacy ; Speculative theories of the early universe ; The measurement paradox ; Gravity's role in quantum state reduction ; Supersymmetry, supra-dimensionality, and strings ; Einstein's narrower path; loop variables ; More radical perspectives; twistor theory ; Where lies the road to reality?