This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the relevant material in theoretical physics: the geometry of affine spaces, which is appropriate to special relativity theory, as well as to Newtonian mechanics, is developed in the first half of the book, and the geometry of manifolds, which is needed for general relativity and gauge field theory, in the second half.
Levine is a gifted teacher; he introduces each new thing step by step, working up from simple scales (even I was familiar with the stuff in the first 50 pages) to more complex ones, reharmonisation, modal playing, altered chords and all the other stuff that people spend a lifetime getting to know. At each step, there are none of the sudden leaps in assumed knowledge that I've found in other instruction books.
Quantum: Einstein, Bohr, and the Great Debate about the Nature of Reality
Added by: alexa19 | Karma: 4030.49 | Black Hole | 3 October 2010
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Quantum: Einstein, Bohr and the Great Debate
Quantum theory is weird. As Niels Bohr said, if you aren't shocked by quantum theory, you don't really understand it. For most people, quantum theory is synonymous with mysterious, impenetrable science. And in fact for many years it was equally baffling for scientists themselves. In this tour de force of science history, Manjit Kumar gives a dramatic and superbly written account of this fundamental scientific revolution, focusing on the central conflict between Einstein and Bohr over the nature of reality and the soul of science.
Quantum: Einstein, Bohr, and the Great Debate about the Nature of Reality
Added by: alexa19 | Karma: 4030.49 | Black Hole | 2 October 2010
0
Quantum: Einstein, Bohr, and the Great Debate about the Nature of Reality
Quantum theory is weird. As Niels Bohr said, if you aren't shocked by quantum theory, you don't really understand it. For most people, quantum theory is synonymous with mysterious, impenetrable science. And in fact for many years it was equally baffling for scientists themselves. In this tour de force of
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Contents: A First Approach; General Framework; Homogeneous Cosmologies; Oxidation; Hyperbolic Algebras; General Framework; Dirac Fermions; Eleven Dimensional Supergravity; Dualities and Signatures of G++ Invariant Theories; etc.
