Mathematical Excursions to the World's Great Buildings >> By Alexander J. Hahn
Author: Alexander J. Hahn | Size: zip 12.67 MB | Format:PDF | Quality:Original preprint | Publisher: Princeton University Press | Year: June 2012 | pages: 345 | ISBN: 9780691145204
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.
Alexander J. Hahn is professor of mathematics at the University of Notre Dame. His books include Basic Calculus: From Archimedes to Newton to Its Role in Science.
Endorsements:
"The mathematical analysis of building structures is essential to the understanding of architecture. Yet most texts available are abstract and not specific to the importance of such study. At last, Alexander Hahn has provided a thorough and beautifully illustrated mathematical look at the world's greatest buildings that will remedy this void and provide a relevant and absorbing study for architects and others interested in the art of building. I particularly found the description of the amazing structural problem of the Sydney Opera House not only interesting but exciting."--John Burgee, fellow of the American Institute of Architects
"Readers who enjoy connecting mathematics to real-world applications will find this book intriguing, as will anyone who wants to learn more about the forces and mathematics behind the construction of the world's great buildings."--Michael Huber, author of Mythematics
"Clear and engaging, this terrific book contains interesting and authentic mathematical applications. Mathematical Excursions to the World's Great Buildings is a book you can curl up with and enjoy."--Marc Frantz, Indiana University
Table of Contents:
Preface vii
Chapter 1 Humanity Awakening: Sensing Form
and Creating Structures 1
Chapter 2 Greek Geometry and Roman Engineering 12
Chapter 3 Architecture Inspired by Faith 53
Chapter 4 Transmission of Mathematics and Transition in Architecture 97
Chapter 5 The Renaissance: Architecture and the Human Spirit 138
Chapter 6 A New Architecture: Materials, Structural Analysis, Computers, and Design 205
Chapter 7 Basic Calculus and Its Application to the Analysis of Structures 265
Glossary of Architectural Terms 301
References 307
Index 311
Photo Sources 318
Subject Areas:
Mathematics
Art and Architecture
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Can someone please share this:
ASTM C42 / C42M - 12 Standard Test Method for Obtaining and Testing Drilled Cores and Sawed Beams of Concrete
Thanks in advance
I need following papers on blast loading from TRR..
Ray, J. C., Armstrong, B. J., and Slawson, T. R. (2003). “Airblast environment beneath a bridge overpass.” Transp. Res. Rec., 1827, 63–68.
Baylot, J. T., Ray, J. C., and Hall, R. L. (2003). "Prediction Method for Response of
Steel Bridge Beams and Girders to Blast and Fragment Loads." Transportation Research
Record, 1827(0361-1981), 69-74.
Recent landslide events demonstrate the need to improve landslide forecasting and early warning capabilities in order to reduce related risks and protect human lives. In this thesis, local and regional investigations were carried out to analyse landslide characteristics in the Swabian Alb region, and to develop prototypic landslide early warning systems. In the local study area, an extensive hydrological and slope movement monitoring system was installed on a seasonally reactivated landslide body located in Lichtenstein- Unterhausen. Monitoring data was analysed to assess the influence of rainfall and snow-melt on groundwater conditions, and the initiation of slope movements. The coupled hydrology-slope stability model CHASM was applied to detect areas most prone to slope failures, and to simulate slope stability using a variety of input data. Subsequently, CHASM was refined and two web-based applications were developed: a technical early warning system to constantly simulate slope stability integrating rainfall measurements, hydrological monitoring data and weather forecasts; and a decision-support system allowing for quick calculation of stability for freely selectable slope profiles. On the regional scale, available landslide inventory data were analysed for their use in evaluation of rainfall thresholds proposed in other studies. Adequate landslide events were selected and their triggering rainfall and snow-melting conditions were compared to intensity-duration and cumulative thresholds. Based on the results, a regional landslide early warning system was developed and implemented as a webbased application. Both, the local and the regional landslide early warning systems are part of a holistic and integrative early warning chain developed by the ILEWS project, and could easily be transferred to other landslide prone areas.
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"Google has agreed to sell its 3D modeling platform SketchUp to Trimble Navigation for an undisclosed sum, the companies announced on Thursday.
SketchUp is a popular 3D modeling platform used for architectural purposes, as well as films and games. The program, which is known for its ease-of-use, allows models to be created within the context of Google Earth. Google purchased it back in 2006, and offers it for free version as well as via a more-advanced, paid version, called Sketch Up Pro.
Sunnyvale, Calif.-based Trimble, which makes surveying, mapping, and marine navigation equipment, said it hopes the acquisition will expand its reach in industries like architecture and construction where its tools are already widely in use. The transaction is expected to close during the second quarter.
"SketchUp, together with these existing capabilities, will provide a stand-alone and enterprise solution that will enable an integrated and seamless workflow to reduce rework and improve productivity for the customer," Bryn Fosburgh, Trimble vice president, said in a statement. "Users will be able to collect data, design, model, and collaborate on one platform."
John Bacus, product manager at SketchUp, said the platform will be able to grow and develop new features as part of Trimble.
"We'll be better able to focus on our core communities: modelers who have been with us from the beginning, as well as future SketchUppers who have yet to discover our products," Bacus wrote in a blog post Thursday. "Designers, builders and makers of things have always been the heart and soul of SketchUp."
As part of the deal, Trimble will partner with Google on running and further developing the SketchUp 3D warehouse, an online repository where users can find and collaborate on 3D models. Trimble will also continue offering a few version of SketchUp."
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