Mathematics and the Built Environment

Parametric Geometry of Curves and Surfaces

Architectural Form-Finding

Authors: Lastra, Alberto

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  • 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
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eBook $59.99
price for USA in USD
  • ISBN 978-3-030-81317-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
  • ISBN 978-3-030-81316-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

This textbook provides a thorough introduction to the differential geometry of parametrized curves and surfaces, along with a wealth of applications to specific architectural elements.

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.

About the authors

Alberto Lastra is associate professor at University of Alcalá (Spain). He has been teaching mathematics in the degree courses Architecture and Fundamentals of Architecture and Urbanism there since 2011, with a particular focus on innovation and interdisciplinarity. He is author of more than 40 journal publications in asymptotic analysis, functional equations, symbolic computation and orthogonal polynomials, as well as the mathematics of architecture.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-030-81317-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
  • ISBN 978-3-030-81316-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Parametric Geometry of Curves and Surfaces
Book Subtitle
Architectural Form-Finding
Authors
Series Title
Mathematics and the Built Environment
Series Volume
5
Copyright
2021
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-81317-8
DOI
10.1007/978-3-030-81317-8
Hardcover ISBN
978-3-030-81316-1
Series ISSN
2512-157X
Edition Number
1
Number of Pages
XXIII, 276
Number of Illustrations
24 b/w illustrations, 165 illustrations in colour
Topics