Using the O. J. Simpson trial, the bell curve, and Emmy Noether, the nineteenth-century woman scientist whose work was essential for Einstein's theory of relativity, Cole helps us see that more than just being a tool, math is a key to understanding the beauty of everything from rainbows to relativity. It is a popularization of mathematics for lay audiences. As someone who is definitely math-spastic I thought I would try reading this book in the hopes of understanding the "beauty" of numbers. Its weakest applications come in its discussions of law and comparative politics. Odd. Do we really know if it's true or not true? Physics is particularly effective at influencing mathematics because it is the most quantitative of all the sciences and its observations can often be formulated as precise conjectures. Boring. What has been missing is a plausible explanation of how mathematics alone could suffice as the seed needed to create our Universe. Physical mathematics is not a recent phenomenon. In this relatively straightforward "popular science" book,Cole brings to the lay reader some of the hidden truths about our world as revealed by Maths. The discussion of Lani Guinier being a particularly weak moment. Her ideas were fairly common on political science faculties but were not well received by congress. The author keeps jumping from point to point, hardly addresses any topic with depth. Many ancient Greeks did not believe in the heliocentric view of the solar system, but this was not solely due to religious reasons. In this sense, mathematics exists independently of physical reality. All topics are superficial. She has also been an editor at Discover and Newsday. Even though QFT itself is still lacking a solid foundation, conjectures it has produced can be precisely formulated and many have been proven mathematically. But so little detail! The book is strongest when discussing mathematics as a foundation of physics, logic, and game theory. I would like to think that the four recent developments in physical mathematics mentioned in Paquette’s essay are simply previews of the rich pastures of infinite analysis, which are waiting to be discovered in mathematics. Any framework to unify special relativity and quantum mechanics needs to allow for processes where the number of particles changes by the uncertainty in energy. The new natural phenomena we experience are not necessarily describable or explainable using existing languages and new mathematical concepts and tools are often needed. Even though I enjoy reading about mathematics, this book delivered due to the way it delved into topics that were interesting but not typically associated with math at the level that the author managed. Because of the central role it plays in mathematics and physics, Yang-Mills theory has allowed mathematicians to dip their toes in the elusive world of quantum field theory (QFT)—even though it has been the basic language in elementary particle physics for almost a century, QFT remains elusive because its mathematical foundation is still lacking. I mean, comparing the 'tipping point' to failing social programs? An Interesting book with some interesting insights into issues involving how we approach everyday things from a mathamatical point of view. Some of the information is clearly outdated, but it was still an interested book. Copyright © Inference 2020    Privacy   Cookies   Terms of Use   ISSN #2576–4403, Cheng-Ning Yang and Robert Mills, “Conservation of Isotopic Spin and Isotopic Gauge Invariance,”, Although there is a version of the theory that does not require special relativity, the unification with special relativity was the original motivation for the founding papers of quantum field theory by Paul Dirac, Werner Heisenberg, and Wolfgang Pauli during the late 1920’s. Whatever it may turn out to be, it should be able to deal with infinite degrees of freedom in a more powerful way. The infinitely many degrees of freedom in QFT posed enormous challenges for physicists when they tried to make sense of the theory. way too broad of a definition of math to be informative. When Europeans began extensive overseas exploration and colonization during the fifteenth century, the process of determining a ship’s position required precise astronomical measurements and calculations to more than ten decimal places. The chapter on symmetry was very good and worth rerading but other chapters were just kind of pointless, in my opinion. QFT calculations of the magnetic moment of the electron have been experimentally verified up to twelve decimal places, which is perhaps the most precise confirmation of any scientific theory. Original Title ISBN "9781846144769" published on "2012-1-7". But I would also recommend it to philosophers, politians, judges, teachers, students...anyone can walk away from this book with a greater appreciation for the strange and wonderful ways in which are world is ordered (or unordered, as the case may be). They were unable to do so. In 2012, it was renamed the Kavli Institute for the Physics and Mathematics of the Universe. I've enjoyed some of her other books more, but liked this one two. Columnist Roger Simon speculates that’s one reason the National Rifle Association lobbied successfully to eliminate the program at the Centers for Disease Control that keeps track of gun deaths. I enjoy the way KC Cole writes. A must read for any math or science nerd. QFT’s unreasonable effectiveness in producing powerful conjectures in mathematics is a reflection of the fact that it was invented and developed to understand the microscopic frontier of physics, and that we are struggling to invent a new language of mathematics to describe it. Paquette’s claim is a radical departure from the prevailing view of mathematics, that it exists in the Platonic world independently of physical reality, and it can be used to explain not only our own universe, but all logically possible universes.

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