Geometry: A Very Short Introduction (Very Short Introductions)

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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. 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.

the book is more a descriptive approach for the technical side of mathematics and since it's written by a mathematician, you can sense their handprint on the subject matter, it may seem complex and dry on the surface but when you keep on going it introduces topics which might surprise you in lots of ways. I generally find the "A Very Short Introduction" series to actually be quite good, with most of the volumes accomplishing exactly what they intend to by giving a good overall sense of a field of inquiry and its methods, or of the important elements of a given topic. this book is great if you want a guide through the mysterious and beautiful path of numbers but for me, it still didn't do justice to mathematics, the way that Roger Penrose does to mathematica.Timothy Gowers, who is himself an award-winning mathematician, has written a book that is easy to understand and is very, very sympathetic to those of us who can't calculate.

Neki ce možda biti razočarani jer nije detaljna, a neki što je prenapredna, ali meni se svidjela prvenstveno jer je prepuna činjenica koje do sada nisam čula ili shvatila na način objašnjen u knjizi. uk/Home/>, and a Professor of Mathematical Physics at the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge.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). 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. But when he goes little deeper like the concepts of hyperbolic geometry, I found the explanation little hard to comprehend. 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. wether one thinks of it as a rigid and dry subject or have the other opinion about the subject, it doesn't really matter since it works.