Authors:
- Provides an illustrated, self-contained introduction to the differential geometry of curves and surfaces
- Connects abstract mathematical theory with real architectural objects
- Richly illustrated with over 150 figures as well as 20 QR Codes linked to animations
- Many solved exercises to go beyond the theory
Part of the book series: Mathematics and the Built Environment (MABE, volume 5)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (4 chapters)
-
Front Matter
-
Back Matter
About this book
Geometric elements in architecture respond to practical, physical and aesthetic needs. Proper understanding of the mathematics underlying the geometry provides control over the construction. This book relates the classical mathematical theory of parametrized curves and surfaces to multiple applications in architecture. The presentation is mathematically complete with numerous figures and animations illustrating the theory, and special attention is given to some of the recent trends in the field. Solved exercises are provided to see the theory in practice.
Intended as a textbook for lecture courses, Parametric Geometry of Curves and Surfaces is suitable for mathematically-inclined students in engineering, architecture and related fields, and can also serve as a textbook for traditional differential geometry courses to mathematics students. Researchers interested in the mathematics of architecture or computer-aided design will also value its combination of precise mathematics and architectural examples.
Reviews
Authors and Affiliations
-
Departamento de Física y Matemáticas, Universidad de Alcalá, Alcalá de Henares, Spain
Alberto Lastra
About the author
Bibliographic Information
Book Title: Parametric Geometry of Curves and Surfaces
Book Subtitle: Architectural Form-Finding
Authors: Alberto Lastra
Series Title: Mathematics and the Built Environment
DOI: https://doi.org/10.1007/978-3-030-81317-8
Publisher: Birkhäuser 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 2021
Hardcover ISBN: 978-3-030-81316-1Published: 07 September 2021
Softcover ISBN: 978-3-030-81319-2Published: 08 September 2022
eBook ISBN: 978-3-030-81317-8Published: 06 September 2021
Series ISSN: 2512-157X
Series E-ISSN: 2512-1561
Edition Number: 1
Number of Pages: XXIII, 276
Number of Illustrations: 24 b/w illustrations, 165 illustrations in colour
Topics: Differential Geometry, Mathematics in Art and Architecture