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Elementary Geometry

by Ilka Agricola and Thomas Friedrich
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Current price ₹1,155.00
Original price ₹1,650.00
Original price ₹1,650.00
Original price ₹1,650.00
(-30%)
₹1,155.00
Current price ₹1,155.00

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Book cover type: Paperback
  • ISBN13: 9781470454791
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Orient Blackswan Pvt Ltd
  • Publisher Imprint: Orient Blackswan Pvt Ltd
  • Publication Date:
  • Pages: 256
  • Original Price: INR 1650.0
  • Language: English
  • Edition: N/A
  • Item Weight: 650 grams
  • BISAC Subject(s): N/A

Elementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of high school. Agricola and Friedrich revisit geometry, but from the higher viewpoint of university mathematics. Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries by their number of fixed points. Complex numbers are introduced to provide an alternative, very elegant approach to plane geometry. The authors then treat spherical and hyperbolic geometries, with special emphasis on their basic geometric properties.

This largely self-contained book provides a much deeper understanding of familiar topics, as well as an introduction to new topics that complete the picture of two-dimensional geometries. For undergraduate mathematics students the book will be an excellent introduction to an advanced point of view on geometry. For mathematics teachers it will be a valuable reference and a source book for topics for projects. 
The book contains over 100 figures and scores of exercises. It is suitable for a one-semester course in geometry for undergraduates, particularly for mathematics majors and future secondary school teachers.

Ilka Agricola: Humboldt-Universität zu Berlin, Berlin, Germany,
Thomas Friedrich: Humboldt-Universität zu Berlin, Berlin, Germany

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