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Parametric geometry of curves and su...

Lastra, Alberto.

Parametric geometry of curves and surfacesarchitectural form-finding /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Parametric geometry of curves and surfacesby Alberto Lastra.
Reminder of title:	architectural form-finding /
Author:	Lastra, Alberto.
Published:	Cham :Springer International Publishing :2021.
Description:	xxiii, 276 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Geometry in architecture.
Online resource:	https://doi.org/10.1007/978-3-030-81317-8
ISBN:	9783030813178

Parametric geometry of curves and surfacesarchitectural form-finding /
Lastra, Alberto.

Parametric geometry of curves and surfacesarchitectural form-finding /[electronic resource] :by Alberto Lastra. - Cham :Springer International Publishing :2021. - xxiii, 276 p. :ill., digital ;24 cm. - Mathematics and the built environment,v.52512-1561 ;. - Mathematics and the built environment ;v.1..

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.

ISBN: 9783030813178

Standard No.: 10.1007/978-3-030-81317-8doiSubjects--Topical Terms:

257382
Geometry in architecture.

LC Class. No.: NA2760

Dewey Class. No.: 720.151

Parametric geometry of curves and surfacesarchitectural form-finding /
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490 1 $a Mathematics and the built environment, $x 2512-1561 ; $v v.5
505 0 $a 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.
520 $a 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.
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950 $a Mathematics and Statistics (SpringerNature-11649)