Overview
Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.
Full Product Details
Author: Jürgen Richter-Gebert
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2011 ed.
Dimensions:
Width: 15.50cm
, Height: 3.60cm
, Length: 23.50cm
Weight: 1.159kg
ISBN: 9783642172854
ISBN 10: 3642172857
Pages: 571
Publication Date: 25 February 2011
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Awaiting stock
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Reviews
From the reviews: Choice - Oustanding Academic Title in 2012 The author covers most of the traditional topics in real projective geometry, and extends the concepts through complex projective geometry. He provides the reader with concise proofs, clear and insightful presentations, and a coherent development of the topic. Richter-Gebert presents algebraic, visual, and diagrammatic approaches to unify the subject, while his fresh writing style make for a very readable text. ... Additionally, the student and teacher will enjoy the quotations introducing each section. ... Summing Up: Highly recommended. Upper-division undergraduates and faculty. (R. L. Pour, Choice, Vol. 49 (5), January, 2012) The author describes his work as 'a guided tour through real and complex geometry', and these words explain perfectly the aim of the book. ... the prerequisites for reading the book are just the basics of linear algebra (in terms of coordinates), so that the book seems accessible to a wide audience ranging from mathematicians to computer scientists and physicists. (Hans Havlicek, Mathematical Reviews, Issue 2012 e) The author of this very well written and detailed book is an expert in projective geometry, especially in computational projective geometry ... . apart from students this book is accessible to mathematicians as well as computer scientists and physicists. The author presents the rich interplay of geometric structures and their algebraic counterparts ... . (Rolf Riesinger, Zentralblatt MATH, Vol. 1214, 2011)
From the reviews: The author covers most of the traditional topics in real projective geometry, and extends the concepts through complex projective geometry. He provides the reader with concise proofs, clear and insightful presentations, and a coherent development of the topic. Richter-Gebert presents algebraic, visual, and diagrammatic approaches to unify the subject, while his fresh writing style make for a very readable text. ... Additionally, the student and teacher will enjoy the quotations introducing each section. ... Summing Up: Highly recommended. Upper-division undergraduates and faculty. (R. L. Pour, Choice, Vol. 49 (5), January, 2012) The author describes his work as 'a guided tour through real and complex geometry', and these words explain perfectly the aim of the book. ... the prerequisites for reading the book are just the basics of linear algebra (in terms of coordinates), so that the book seems accessible to a wide audience ranging from mathematicians to computer scientists and physicists. (Hans Havlicek, Mathematical Reviews, Issue 2012 e)
From the reviews: The author covers most of the traditional topics in real projective geometry, and extends the concepts through complex projective geometry. He provides the reader with concise proofs, clear and insightful presentations, and a coherent development of the topic. Richter-Gebert presents algebraic, visual, and diagrammatic approaches to unify the subject, while his fresh writing style make for a very readable text. ! Additionally, the student and teacher will enjoy the quotations introducing each section. ! Summing Up: Highly recommended. Upper-division undergraduates and faculty. (R. L. Pour, Choice, Vol. 49 (5), January, 2012)
Author Information
Full Professor for Geometry and Visualization at Technical University Munich. Research in combinatorial, computational and dynamic geometry, automated geometric theorem proving and visualization. Author of the dynamic geometry program Cinderella and of the interactive visualization portal Mathe-Vital. Cinderella was awarded the Multimedia Innovation Award, the European Academic Software Award and the Deutsche Bildungssoftwarepreis. Mathe-Vital won the renowned MedidaPrix in 2008.
