The Geometry of an Art: The History of the Mathematical Theory of Perspective from Alberti to Monge

Hardcover | December 7, 2006

byKirsti Andersen

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This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.

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From the Publisher

This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlyi...

From the Jacket

This monograph describes how the understanding of the geometry behind perspective evolved between the years 1435 and 1800 and how new insights within the mathematical theory of perspective influenced the way the discipline was presented in textbooks. In order to throw light on these issues, the author has chosen to focus on a number of...

Format:HardcoverDimensions:851 pages, 9.21 × 6.14 × 0.27 inPublished:December 7, 2006Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387259619

ISBN - 13:9780387259611

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Extra Content

Table of Contents

Introduction.- Acknowledgements.- Notes to the reader.- The birth of perspective.- Alberti and Piero della Francesca.- Leonardo da Vinci.- Italy in cinquecento.- North of the Alps before sixteen hundred.- The birth of the mathematical theory of perspective: Guidobaldo and Stevin.- The Dutch development after Stevin.- Italy after Guidobaldo.- France and the Southern Netherlands after 1600.- Britain.- The German speaking areas after 1600.- Lambert.- Monge closing a circle.- Summing up.- Appendix: On ancient roots of perspective.- Appendix: The Appearance of a rectangle à la Leonardo da Vinci.- Appendix: 'sGravesande taking recourse to the infinitesimal calculus to draw a column base in perspective.- Appendix: The perspective sources, listed countrywise.- Bibliography.- Index.

Editorial Reviews

From the reviews:"The book in question is a survey of the history of this subject . . I do not know the author, but I came to trust her voice in the book, to trust her honesty and her judgments. I appreciated the clarity of her illustrations and her concern for the reader's understanding. I found the book to be carefully written, and I was impressed with the immense amount of work that must have gone into writing it." (Greg St. George, Zentralblatt für Didaktik der Mathematik, Vol. 39, 2007)"I was very pleased to find Kristi Andersen's book on the history of the geometrical evolution of perspective. . Reading it from the point of view of someone who is interested in geometry as well as art, it is a fascinating book, but it also has much to offer the historian of mathematics. . it is extremely well produced and researched and makes an invaluable contribution to the literature on perspective as well as the history of geometry." (John Sharp, Journal of Mathematics and the Arts, Vol. 1 (4), 2007)