Authors:
- Gives the necessary geometry to readers of limited background
- Provides reader with a general history through the mid-nineteenth century
- Features a proof-based treatment
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Table of contents (15 chapters)
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Front Matter
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Back Matter
About this book
- The Projective Plane and Central Collineations
- The Geometry of Euclid's Elements
- Conic Sections in Early Modern Europe
- Applications of Conics in History
Reviews
“The text is organised into fiffteen chapters and deals with a wealth of classical topics. … The explicit exposition of all these topics is carried out in view of their history. The reader will find detailed information about Euclid's Elements and the treatment of conic sections by Greek mathematicians such as Apollonius of Perga and Archimedes.” (Hans Havlicek, Mathematical Reviews, April, 2022)
“This is a historically very well informed look at projective geometry, central collineations, and conics. The reader is exposed to both a wealth of results in projective geometry and to the motivations behind them … . The author has rendered a genuine service to the reader interested in this topic, as there is no contemporary book one could turn to both learn the basic techniques of projective geometry and to find out about its historical intricacies.” (Victor V. Pambuccian, zbMATH 1460.51001, 2021)
Authors and Affiliations
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Department of Mathematics, State University of New York at Oswego, Oswego, USA
Christopher Baltus
Bibliographic Information
Book Title: Collineations and Conic Sections
Book Subtitle: An Introduction to Projective Geometry in its History
Authors: Christopher Baltus
DOI: https://doi.org/10.1007/978-3-030-46287-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-46286-4Published: 02 September 2020
Softcover ISBN: 978-3-030-46289-5Published: 02 September 2021
eBook ISBN: 978-3-030-46287-1Published: 01 September 2020
Edition Number: 1
Number of Pages: XI, 187
Topics: Projective Geometry, History of Mathematical Sciences