PDF Download Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
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Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
PDF Download Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
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Audible Audiobook
Listening Length: 8 hours and 13 minutes
Program Type: Audiobook
Version: Unabridged
Publisher: Audible Studios
Audible.com Release Date: November 17, 2009
Whispersync for Voice: Ready
Language: English, English
ASIN: B002XGLCVA
Amazon Best Sellers Rank:
This is a history of the development of geometric thought. It focuses on key figures like Euclid, Descartes, Gauss, Reimann and Einstein. It shows how Gauss's realization that Euclid's model of space was only one possible model and how that insight changed mathematics and then physics. Einstein couldn't have explained relativity if Reimann hadn't already created an appropriate geometry for extratresteral space. I wish there were a few more illustrations, but that's a nit. The author, Mlodinow, was trained as a mathematician and then evolved into a Hollywood writer (Startrek, etc) and this shows in his lively writing style. A very good read for someone who want's to know about the role of modern geomentry in today's intellectual world. (No real math background is required to read this book -- its history book, not mathematics text.)
I've read several other books from Mlodinow. This is by far the most difficult one. In the beginning, it was not that hard to understand. But, it gets very difficult to grasp, as the subject changes from basic geometric concepts to the very complex theories of moder physics. By the way, it is a history book, not a text book of mathematics or physics. Indeed, I think mathematicians ans physicists will find this book to shallow, while the rest - like me - will find it difficult. This is the reason for giving three stars. But, at the end, it is a good book. In my opinion, it worths reading it.
This is a very good book, much better than I expected. I thought it would be more like a college mathematics text book. Instead it is more like a novel. It is very readable and the subjects flow smoothly from one to another. I found the reading enjoyable and it kept my interest from one chapter to the next. Most of it is not too technical or abstract so it should be understandable to the general public. There are, however, a few sections on math and physics theory that are difficult to comprehend. Those sections kept me alert and added interest to the book. I have a BS degree in mathematics and now I have a new perspective on the classes I took in college. The title of the book is OK, but it does not describe all of the content. There is much more such as the role of prominent men and women and their influence on geometry and mathematics on world history. The Epilogue at the end is very, very good, the best I have ever read.
Having taught University Chemistry for many years, this book was great because it gave the back story on the lives of many of the physics/chemistry theory discoverers.Favorite quote: "...This question was settled for good in 1931 by the shocking theorem of Kurt GÄdel: he proved that in a system of sufficient complexity, such as the theory of numbers, there must exist a statement that cannot be proved either true or false...A corollary of GÄdel’s theorem is that there must exist a true statement that cannot be proved. This destroys the claims of Russell and Whitehead— not only did they not show how all mathematical theorems can be derived from logic, it is actually impossible to do so!"
Had geometry been presented in this form back in High School, I might have stayed awake in class more often. It shows purpose, reason, uses, and innovation where it was taught as theorems, postulates, proofs, and an incomprehensible list of jargonistic terms that were totally uninteresting to a c-grade teenager. I've finally, after 60 some years, learned something interesting about geometry.
"Euclid's Window" traces the roots of particle physics, from the initial geometric work of the ancient Greeks, to Descartes attaching algebra to geometry, to Gauss and Riemann realizing that space need not be flat, to Einstein applying these ideas in the theories of relativity, to the particle physics and string theory as we know it today. These are just a few of the mathematicians and scientists discussed. The book is not a history of geometry as the subtitle suggests, as Mlodinow only takes the parts that are relevant to the current physics-based explanation of the world (membrane theory) and the quest for a grand unified theory and how geometry fits into it. The story along the way is very engaging and entertaining, revealing both the life and times of the people that invented the various theories we use today, as well as lucidly explaining the theories themselves (even string theory). I highly recommend the book for both entertainment value and educational value, though I must qualify this statement: Mlodinow makes a few blunders along the way with dates, fills in some details with his own imagination, and interjects his opinion quite frequently. You might walk away from the book thinking that Ed Witten is the next Einstein (not to discredit Professor Witten, as he has made very important contributions). Mlodinow most noticeably leaves out contributions from the ancient Indians and Chinese, and only briefly mentions the Arabs- basically taking a very Europe- and American-centric point of view...take it or leave it, but I can't help but agree that these are the people that took us from the parallel postulate to quarks, gravitons, and so on. Historical context is cherry-picked to support the anti-Christian and anti-antisemite (basically pro-Jewish) opinions of the author, which isn't to say the points aren't valid. As you will discover in reading the book, Christianity killed (literally) the ancient Greek science, and has impeded the return of logical thought and science ever since.So we don't have complete historic rigor here- I say who cares. Mlodinow has written a story with few geometric sketches and even fewer equations, not a textbook. If you want the usual dry history of "and on April 12, 1652, Hermann von German discovered this phenomena while rowing a boat across a lake," or page after page of equations, then I'm sure there are many other books out there to satisfy your needs. So, take the finer points with a grain of salt (if it sounds too good to be true, it probably is- except for C.F. Gauss) and enjoy the ride of learning about the people behind the math and physics. This is still a great book that I would recommend to those interested in math and/or physics.
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