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Title: The Road to Reality: A Complete Guide to the Laws of the Universe
ISBN: 0679776311
Author:
Roger Penrose
Publicate Date: 2007-01-09
Publish: 2007-01-09
List Price: $25.00
Average Customer Rating: 4.0
Format: Paperback
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Amazon Lowest New Price: $14.66
Amazon Lowest Used Price: $14.65
Amazon Merchant Price: $16.50
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| Customer Review: |
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1: a natural wonder
Wow. For the layperson, this is like an extended hiking tour of an astonishing natural wonder like the Grand Canyon or Mount Everest. But in this case, we see the natural wonder that is the clarifying insight of a master physicist. Here's one example: For the physicist, numbers are the basis of powerful calculations. But Penrose, the master physicist, sees more than that. He sees "terminating" as well as "infinite" architectural processes from which they are constructed. And in this way he describes, as the basis of reality, the finite meeting the infinite. (Which seems to me like poetic truth.)
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2: Not the usual watered down pop physics book.
This book took some time to read! In my opinion, if you want to understand current work in physics, you need to have the basics under your belt. Roger Penrose starts with the basics and works all the way through at a very challenging pace. He introduces the necessary math in a very straight forward, easy to understand way in the first few chapters and they were fascinating! After that, it gets even better building on the very basics where he began. This is not one of those books that you can read in a weekend or on a long plane trip, so plan to take some time and enjoy this one. It will be well worth the effort.
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3: The Road To Reality
I highly recommend the reading of this impressive book. It is able to embrace almost all of the mathematical background a serious theoretical physicist should have...and it does so in a both deeply and understandable fashion. It is suitable for anyone interested in knowing why something arising from tbe human mind is capable to describe the Universe. This book may be suplemmented by Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics), by Mikio Nakahara, a reading recommended for those who may want to go even deeper into the mathematics-physics relationship.
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4: Attempts the impossible
It is not possible to express the ideas of modern physics without using mathematics very different from what one studies in high school. But a popular physics book can hardly assume more than a high school level of math. Therefore popular physics books are impossible.
Penrose's 'The Road to Reality' is a demonstration of this proposition. Penrose must be congratulated for facing the problem head on, not shying away from the formulae and trying to teach his readers all the mathematics needed. Penrose is more capable than most for such an undertaking, and often he comes up with clever, intuitive ways of explaining difficult concepts. But ultimately the beautifully-crafted intuition collapses due to the lack of a supporting structure of necessary technical details and hard proofs and the reader is left holding fuzzy ideas which he cannot independently apply.
The book would be a great way for a graduate student in physics or mathematics to see the big picture. Others would do well to stick either with less ambitious popularizations or to go straight to the textbooks. For the former, my recommendation would be Penrose's own The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics (Popular Science) while for the latter there is no better place to begin than Singer and Thorpe's Lecture Notes on Elementary Topology and Geometry (Undergraduate Texts in Mathematics) and Needham's Visual Complex Analysis.
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5: Perfect for where I'm at right now, but...
This book is perfect for where I'm at right now, which is at an advanced undergraduate level of studying physics. It covers pretty close to all of the ideas in physics that are out there right now, and most of the major areas of mathematics that are involved in explaining these physical theories. As such, it makes a great review of what I've encountered so far, and gives the clearest exposition I've yet encountered for many of the advanced ideas that I've only thus far encountered tangentially. Even for "basic" ideas, Penrose often chooses a way of explaining an idea that is significantly different from how most texts will explain them. His explanantions of complex numbers and the uses of the complex plane, differential forms, and 4-velocity and 4-momentum pop out in my memory as particularly good, and are concepts that I don't feel I entirely "got" until here. Also, he builds the concepts upon each other slowly and systematically, giving the entire book a "story arc" that's rare among physics and mathematics texts. Most of the second half of the book is devoted to what could be considered "cutting edge" physics, and he does an excellent job of evaluating the strengths and weaknesses of the various approachs.
That being said, if this is your first exposure to these topics, you will be lost. The math is generally more clearly built up from what would be a non-mathematically minded person's starting point, but even that has points at which an extremely subtle mind is needed to fill in the intervening steps. The physics is even more difficult if you've had no exposure, but I personally found this to be one of the books virtues. For instance, you will probably come away with no understanding of electromagnetism and how electricity and magnetism came to be seen as unified if this is your first exposure, but for those who already have encountered it at an undergraduate level, you will come to a much deeper appreciation of its symmetries.
All in all an excellent book, but the publishers should reconsider the way they are marketing it as a book for the layman.
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