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Dr Körner, an experienced author, describes a variety of topics which continue to interest professional mathematicians, like him. He does this using relatively simple terms and ideas, yet confronting difficulties (which are often the starting point for new discoveries) and avoiding condescension. If you have ever wondered what it is that mathematicians do, and how they go about it, then read on. If you are a mathematician wanting to explain to others how you spend your working days (and nights), then seek inspiration here.\u003c\/p\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/tbody\u003e\n\u003c\/table\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003ch5\u003eReview 1\u003c\/h5\u003e\n\u003cp\u003e'This is real mathematics, not the watered down versions served in 'maths for liberal arts' courses … Not just maths lovers, but a much larger audience, should enjoy Körner's witty prose and enlightening comments, numerous historical passages and anecdotes. I would particularly recommend the book to all maths teachers.' Arturo Sangalli, New Scientist\u003c\/p\u003e\n\u003ch5\u003eReview 2\u003c\/h5\u003e\n\u003cp\u003e'… a glorious celebration of mathematics as a way of getting to grips with the world around us, employing a seamless mix of history, abstract thought and applications.' Ian Stewart, New Scientist\u003c\/p\u003e\n\u003ch5\u003eReview 3\u003c\/h5\u003e\n\u003cp\u003e'… a real gem of a book … I don't recommend a book this strongly very often - if you have any interest in maths at whatever level and for any reason go out and buy a copy!' Computer Shopper\u003c\/p\u003e\n\u003ch5\u003eReview 4\u003c\/h5\u003e\n\u003cp\u003e'… delightful.' Douglas Quadling, The Magazine of the Cambridge Society\u003c\/p\u003e\n\u003ch5\u003eReview 5\u003c\/h5\u003e\n\u003cp\u003e'This is a marvelous book which I commend to all mathematicians and students of mathematics.' C. M. 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