"The Road to Reality"

Recently, my various open source projects have no commits. During this time, I finished reading "The Path to Reality: A Complete Guide to the Laws of the Universe".
I bought this book when the author Roger Penrose won the Nobel Prize in Physics. Many people of our generation have read his "The Emperor's New Brain". At that time, we only knew him as a mathematician, physicist and Hawking's friend.
This "Road to Reality" is deeper than "The Emperor's New Brain", and the theme is more focused. This book provides an overview of the macroscopic picture of modern mathematics and theoretical physics, from Euclidean geometry to non-Euclidean geometry, from the real number system to calculus, complex analysis, differential geometry, groups, tensors, symmetry, symplectic geometry, and algebraic geometry , thus leading to the field, dynamics, relativity, quantum mechanics and string theory of modern physics, spinor, twistor, supersymmetry, from measurement and uncertainty, from quarks to black holes. It must be said that it is so profound and profound that even though it does not explain each issue in detail, it is still a 800-page masterpiece-this is the simplified Chinese version, and the original English version will only be larger.
This book is very suitable as a review textbook for students in the Department of Mathematics or Physics. It can be said to be a "Princeton Mathematics Guide" with a "storyline". Of course, for college freshmen, there will almost inevitably be a lot of content that cannot be understood. My opinion is, just read it. After reading the whole article, you will have a good understanding of what you will encounter in your four years of university, or even until the doctoral stage. Knowledge has a basic concept, and you will know the outline of those courses and theories, which will be of great help to your future study, and as you learn more, more and more knowledge will be like pieces of a puzzle, gradually into the pictures in the book.
Of course, as a book focusing on theoretical physics, the book does not describe all branches of mathematics in detail, but this is not a shortcoming. Readers can use this book as the cornerstone to fill in other directions of the puzzle by themselves. Perhaps the only shortcoming of this book is that the threshold is too high. This is not the kind of popular science book that ordinary people can use as talk after reading it. If there is no considerable mathematical foundation, I believe that even the illustrations inside Can't understand correctly. But what kind of shortcoming is that for a Nobel Prize-winning book on physics and mathematics?

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Origin blog.csdn.net/ccat/article/details/127837527