nju
2016-05-10
Mathematical physics
Physical laws
Penrose
Roger
Roger Penrose
Recording for the Blind & Dyslexic
Princeton, N.J.
en
61266045
61266045
The purpose of this book is to convey to the reader some feeling for ... the search for the underlying principles that govern the behaviour of our universe.... It may be said that this book is really about the relation between mathematics and physics, and how the interplay between the two strongly influences those drives that underlie our searches for a better theory of the universe.... This book may indeed be used as a ... guide to the central ideas (and wonders) of modern physics. It is appropriate to use it in educational classes as an ... introduction to modern physics. -Pref.
Roots of science -- 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 -- Ladder of infinity -- Spacetime -- Minkowskian geometry -- Classical fields of Maxwell and Einstein -- Lagrangians and Hamiltonians -- Quantum particle -- Quantum algebra, geometry, and spin -- Entangled quantum world -- Dirac's electron and antiparticles -- Standard model of particle physics -- Quantum field theory -- Big Bang and its thermodynamic legacy -- Speculative theories of the early universe -- Measurement paradox -- Supersymmetry, supra-dimensionality, and strings -- Einstein's narrower path, loop variables -- More radical perspectives, twistor theory -- Where lies the road to reality?
2005
The road to reality a complete guide to the laws of the universe
2005