Parametric Geometry of Curves and Surfaces

Architectural Form-Finding

Alberto Lastra

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English

Springer Nature Switzerland AG
08 September 2022

Differential & Riemannian geometry; Applied mathematics

Series: Mathematics and the Built Environment

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.

By: Alberto Lastra
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2021 ed.
Volume: 5
Dimensions: Height: 235mm, Width: 155mm,
Weight: 462g
ISBN: 9783030813192
ISBN 10: 3030813193
Series: Mathematics and the Built Environment
Pages: 276
Publication Date: 08 September 2022
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

Reviews for Parametric Geometry of Curves and Surfaces: Architectural Form-Finding

“This book is the result of the author’s years long experience lecturing parametric geometry of curves and surfaces in architectural studies … . In fact it will give a mathematics student a fresh approach to the subject. The book shows many examples of curves and surfaces that can usually be found in classical books, showing its use in architecture. … Indeed a very interesting book on parametric curves and surfaces.” (Ana Pereira Do Vale, zbMATH 1486.53010, 2022)