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＜電子ブック＞
Parametric Geometry of Curves and Surfaces : Architectural Form-Finding / by Alberto Lastra
(Mathematics and the Built Environment. ISSN:25121561 ; 5)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2021
本文言語	英語
大きさ	XXIII, 276 p. 189 illus., 165 illus. in color : online resource
著者標目	*Lastra, Alberto author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Mathematics LCSH:Arts LCSH:Architecture -- Mathematics  全ての件名で検索 FREE:Differential Geometry FREE:Mathematics in Art and Architecture
一般注記	1 Parametrizations and Plane Curves -- 2 Parametrizations and Space Curves -- 3 Parametrizations and Regular Surfaces -- 4 Special Families of Surfaces -- A Coordinate Systems -- B Mathematical Tool Kit -- C Solutions to the Suggested Exercises -- References -- Photograph Credits -- List of Symbols -- Index 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 HTTP:URL=https://doi.org/10.1007/978-3-030-81317-8

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