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This guide to the universe aims to provide a comprehensive account of our present understanding of the physical universe, and the essentials of its underlying mathematical theory. It attempts to convey an overall understanding--a feeling for the deep beauty and philosophical connotations of the subject, as well as of its intricate logical interconnections. While a work of this nature is challenging, no particular mathematical knowledge is assumed, the early chapters providing the essential background for the physical theories described in the remainder of the book. There is also enough descriptive material to carry the less mathematically inclined reader through, as well as some 450-500 figures. The book counters the common complaint that cutting-edge science is fundamentally inaccessible.… (more)
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Luckily I have some experience with mathematical exposition. I wouldn't recommend this book if you don't have that kind of background, though there may be some value in just enjoying the evocative, beautifully drafted diagrams and in savoring abstruse terminology.
My reason for speaking now is that it may take several passes to finish, and parts I will never understand. Most of the negatives given for the book are for the failure to meet expectations. It is not popular science since it contains too much mathematics and detail. It is not physics mathematics, for even with the mathematics it doesn’t contain enough proofs. It is not a physics textbook for there is way too much material for any one course (or even a degree).
What it is though; is a powerful view into the universe of physics and mathematics for an intelligent and patient visitor. While I don’t expect in my lifetime to have the time to understand it all, Penrose once again causes me to expand my horizon, grasp some things that were beyond me before, and improve my enjoyment of that universe. For a similarly inclined reader, I cannot recommend it too highly.
EDIT: I have recently learned in a conversation at uni that there are