Geometry: A Very Short Introduction (Very Short Introductions)
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This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole.
it is fascinating when, having thoughts of the debates of wether it was invented or discovered, and thinking about mathematics generally on very basic terms, how the phenomenas of the universe and nature (even in social and economic sciences) are translated from them to us through this language, how we preserve and receive that knowledge through mathematics. Maciej Dunajski is a Fellow of Clare College , and a Professor of Mathematical Physics at the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge.Mathematics : A Very Short Introduction (2002) by Timothy Gowers is a good introduction to what Mathematicians actually do and what modern mathematics is really about. The reason of 5 stars is all of the above plus finally understanding why airplanes tend to move towards the poles (had to finish my bachelor in physics without ever anyone touching that concept. The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof-deductive reasoning from a set of axioms-first arose. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data.
uk/Home/, and a Professor of Mathematical Physics at the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. I haven't read many of these 'Very short introductions', and some I've dipped into have been disappointing. Moreover, the text of this evolves from the simple Euclidean geometry, leading up to spherical geometry and then hyperbolic.What the book does, is to introduce us to the world of mathematics, what it isall about and how mathematicians approach different ideas and the way Timothy does that is by explaining an array of different ideas from model building, basic arithmetic, formal proofs, complex numbers, number theory, coordinate systems, infinity, higher dimensions, non Eucledian geometries, approximations etc. As the name suggests the book tries to tell a non-mathematician but interested person, what is Math about, what is it's goals, how mathematicians think and some techniques and results of modern and classical Math. Tbh, it might be a pretty hard book for beginners, at least harder than other pop science math books, but it's food for thought.
Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable. Strangely, I think this book must be more interesting to people who don't like mathematics, but those are the ones less likely to read it.people tend to ignore the relationship between math and music (which leads to sound, which leads to the meter in poetry), math and language (linguistics, which structures our LLM and potentially AGI), and math and philosophy (multi-dimensional space - phenomenology, architecture, technology - , symbolic logic - public policy, and so on).
Luc Montagnier, Nobel laureate From the New York Times, Wall Street Journal, USA Today, and Publishers Weekly bestselling author of The Real Anthony Fauci comes an explosive exposé of the cover-up behind the true origins of COVID-19. This is a popular science book about geometry published by the OUP, and aiming at a level well bellow that of any subscriber to the hyperspace. But for someone who is not very familiar with mathematics, it won't make any sense, for such a person this book can be hard, confusing and boring. Gowers has written a beautiful book that dabbles in the 'very mathematical', but never actually becomes mathematical. Gradually they will get used to only half understanding what their mathemtics teachers say, and after a few more missed leaps they will find that even half is an overestimate.By using the Web site, you confirm that you have read, understood, and agreed to be bound by the Terms and Conditions. Timothy Gavors, one of the world's leading mathematicians, seeks to shed light on the differences between advanced mathematics and the mathematics we teach in school. About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics.