The Wonder Book of Geometry: A Mathematical Story - Oxford University Press (2020)

The Wonder Book of Geometry: A Mathematical Story - Oxford University Press (2020)

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Published by OUP Oxford, 2020, hardcover, 280 pages, illustrated, no dust jacket, otherwise condition: as new.

How can we be sure that Pythagoras's theorem is really true ? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet?

David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.

An excellent recreational maths book on geometry. Mainly the triangle and circle constructions often covered in senior school maths classes, but it covers other areas too. I cant really add much to the review by another popular science writer on GR, which originally inspired me to have a look at this book.

If, in one of the circles of Hell, I was forced to teach geometry then this is the book Id use as a textbook! Its written to be accessible to those interested in recreational science and maths, with some humour and anecdotes alongside the more formal geometry. More involved proofs are hidden away at the back of the book for those wanting more depth. The serious side is interspersed with light distractions - for example, a short chapter describing regular articles on geometrical proofs in the 18th century Ladies Almanac, the cover of which praised the fair sex for their wit as well as their beauty!

I dislike the formal geometrical proofs at school involving circles and triangles, aping Euclid, which is a shame as this book shows that if its taught properly there are lots of fascinating coincidences in the relationships between angles and lines in such geometrical constructions.

Ive found these interesting geometrical relationships of virtually no use in an engineering career - these things are sorted out in structural engineering by clever CAD software, or rarely one looks up relevant reference books! But where there is, potentially, everyday practical use the author highlights it to bring the concept to life.

If you enjoy recreational maths then this is the geometry book for you.


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