Geometry by its history

In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as wel...

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Hlavní autoři: Ostermann, Alexander, 19..-, Wanner, Gerhard, 1942- (Autor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Vydání:1st ed. 2012.
Edice:Readings in Mathematics
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Edition sous un autre format:• Geometry by its history, Alexander Ostermann, Gerhard Wanner, 2012, Berlin, Heidelberg, Springer, 1 vol. (XII-437 p.), Undergraduate texts in mathematics, 978-3-642-29162-3
• Geometry by Its History, Texte imprimé, 9783642444692
• Geometry by Its History, Texte imprimé, 9783642291647
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Shrnutí:In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in  geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial geometry, vector algebra and matrices are treated in chapters 9 and 10. The last chapter offers an introduction to projective geometry, which emerged in the 19th century.Complemented by numerous examples, exercises, figures and pictures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike
Popis jednotky:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783642291630
ISSN:2945-5847
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