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Geometry by Its History (Undergraduate Texts in Mathematics) - Hardcover

 
9783642291623: Geometry by Its History (Undergraduate Texts in Mathematics)

Synopsis

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 19thcentury.

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.

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About the Author

Alexander Ostermann has published numerous research articles as well as several books with Springer. He is a professor in the Department of Mathematics at the University of Innsbruck, Austria.

Gerhard Wanner is the former President of Section VII of the Swiss Academy of Natural Sciences, former Head of Department of Mathematics at the University of Geneva, and former President of the Swiss Mathematical Society. He is the author of several books with Springer, including Analysis by its History, written together with Ernst Hairer.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

  • PublisherSpringer
  • Publication date2012
  • ISBN 10 3642291627
  • ISBN 13 9783642291623
  • BindingHardcover
  • LanguageEnglish
  • Number of pages452

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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 chapteroffers an introduction to projective geometry, which emerged in the19thcentury.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. 452 pp. Englisch. Seller Inventory # 9783642291623

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Valuable tool for teaching&nbspgeometry with a strong emphasis of the historical development of the subjectIncludes&nbspnumerous examples, applications, exercises&nbspand figuresStimulating and enjoyable reading for students in mathemati. Seller Inventory # 5055808

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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 chapteroffers an introduction to projective geometry, which emerged in the19thcentury.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. Seller Inventory # 9783642291623

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