Mathematical Thinking and Properties in Architecture

Palladio, Le Corbusier, and Eisenman
Erscheinungsjahr 2025
ISBN: 978-3-031-86389-9
Verlag: Springer International Publishing

Buch, Englisch, 218 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 565 g

Reihe: Mathematics and the Built Environment

This monograph explores the profound connections between architecture and mathematics through the works of Andrea Palladio, Le Corbusier, and Peter Eisenman. Combining historical insights with computational analyses, it examines the social, spatial, and aesthetic properties of twenty-six iconic designs. Advanced methods such as Space Syntax, isovists, fractal analysis, image segmentation and semantic linguistic analysis reveal the mathematical principles underlying architectural thinking and properties.

Richly illustrated with over 100 visuals, this volume is an essential resource for senior undergraduates, postgraduates, practicing architects, and historians seeking a deeper understanding of mathematical thinking in architectural design and analysis.

Zielgruppe

Research

Autoren/Hrsg.

Lee, Ju Hyun

Ostwald, Michael J.

Dawes, Michael J.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Technische Wissenschaften Bauingenieurwesen Baukonstruktion, Baufachmaterialien

Inhaltsverzeichnis

Mathematical Thinking and Properties in Architecture.- Mathematics and Andrea Palladio.- Mathematics and Le Corbusier.- Mathematics and Peter Eisenman.- Intelligibility and Cellularity.- Natural Beauty and Expressive Freedom.- Language, Harmony and Diversity.- Piano Nobile, Promenade and Program.- Squaring the Circle.

Über Autor(innen)

Ju Hyun Lee is Associate Professor of Architecture and Computational Design at UNSW, Sydney (Australia). He is co-author with Michael J. Ostwald of (IGI Global 2020), co-author with Michael J. Ostwald and Ning Gu of (Springer 2020) and co-editor with Michael J. Ostwald and Mi Jeong Kim of :  (Springer 2024).

Michael J. Dawes is a Post-Doctoral Research Fellow at UNSW, Sydney. He completed his PhD in architecture at the University of Newcastle, where he investigated design theory and mathematics in the work of Christopher Alexander. He is a co-author with Michael J. Ostwald of  (Birkhäuser 2018).

Michael J. Ostwald is Scientia Professor of Architectural Analytics at UNSW, Sydney (Australia) and Editor-in-Chief of the (Springer Nature). Some of his recent books include  (Birkhäuser 2016) with Josephine Vaughan, (Birkhäuser 2018) with Michael J. Dawes,  (IGI Global 2020) with Ju Hyun Lee, and  (CRC, Taylor and Francis 2021) with Ning Gu and Rongrong Yu.