Mathematics: A Very Short IntroductionThe aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as "Is it true that mathematicians burn out at the age of 25?") ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable. |
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abstract actually AMERICAN angles answer appear approximate argument axioms becomes begin calculations called Chapter circle close complicated concept course cube curved David decimal defined definition difficulty digits dimensions direction distance divided edges equal equation exactly example exist fact Figure five follows four geometry give given happens hard HISTORY hyperbolic idea important infinite interesting John larger least length less mathematicians mathematics means method Michael multiply natural objects obvious once parallel postulate Peter PHILOSOPHY positive possible primes problem proof properties prove question reason rectangle regions represent result rules seems segment sense sequence shape side similar simple smaller sort space speed sphere square statement step Stephen straight Suppose surface tells theorem theory three-dimensional triangle true turns understand vertices whole