Abstract Algebra and Famous Impossibilities
The famous problems of squaring the circle, doubling the cube and trisecting an angle captured the imagination of both professional and amateur mathematicians for over two thousand years. Despite the enormous effort and ingenious attempts by these men and women, the problems would not yield to purely geometrical methods. It was only the development. of abstract algebra in the nineteenth century which enabled mathematicians to arrive at the surprising conclusion that these constructions are not possible. In this book we develop enough abstract algebra to prove that these constructions are impossible. Our approach introduces all the relevant co…
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Produktdetails
Weitere Autoren: Morris, Sidney A. / Pearson, Kenneth R.
- ISBN: 978-1-4419-8552-1
- EAN: 9781441985521
- Produktnummer: 38252464
- Verlag: Springer New York
- Sprache: Englisch
- Erscheinungsjahr: 2012
- Seitenangabe: 189 S.
- Plattform: PDF
- Auflage: 1991
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