Franklin

Mathematical Excursions to the World's Great Buildings / Alexander J. Hahn.

Author/Creator:
Hahn, Alexander J., author.
Publication:
Princeton, NJ : Princeton University Press, [2012]
Format/Description:
Book
1 online resource : 16 color illus. 111 halftones. 233 line illus. 2 tables.
Edition:
Course Book
Contained In:
De Gruyter University Press Library.
Status/Location:
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Details

Subjects:
Architectural design.
Architecture -- Data processing.
Architecture -- Mathematics.
Language:
In English.
System Details:
Mode of access: Internet via World Wide Web.
text file PDF
Summary:
From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure. Whether using trigonometry and vectors to explain why Gothic arches are structurally superior to Roman arches, or showing how simple ruler and compass constructions can produce sophisticated architectural details, Alexander Hahn describes the points at which elementary mathematics and architecture intersect. Beginning in prehistoric times, Hahn proceeds to guide readers through the Greek, Roman, Islamic, Romanesque, Gothic, Renaissance, and modern styles. He explores the unique features of the Pantheon, the Hagia Sophia, the Great Mosque of Cordoba, the Duomo in Florence, Palladio's villas, and Saint Peter's Basilica, as well as the U.S. Capitol Building. Hahn celebrates the forms and structures of architecture made possible by mathematical achievements from Greek geometry, the Hindu-Arabic number system, two- and three-dimensional coordinate geometry, and calculus. Along the way, Hahn introduces groundbreaking architects, including Brunelleschi, Alberti, da Vinci, Bramante, Michelangelo, della Porta, Wren, Gaudí, Saarinen, Utzon, and Gehry. Rich in detail, this book takes readers on an expedition around the globe, providing a deeper understanding of the mathematical forces at play in the world's most elegant buildings.
Contents:
Frontmatter
Contents
Preface
1. Humanity Awakening: Sensing Form and Creating Structures
2. Greek Geometry and Roman Engineering
3. Architecture Inspired by Faith
4. Transmission of Mathematics and Transition in Architecture
5. The Renaissance: Architecture and the Human Spirit
6. A New Architecture: Materials, Structural Analysis, Computers, and Design
7. Basic Calculus and Its Application to the Analysis of Structures
Glossary of Architectural Terms
References
Index
Photo Sources
Notes:
Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)
Contributor:
De Gruyter.
ISBN:
9781400841998
OCLC:
979755146
Publisher Number:
10.1515/9781400841998 doi
Access Restriction:
Restricted for use by site license.