Book Search:  

 

 
Google full text of our books:

bookjacket

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

Winner of the 2012 PROSE Award in Architecture & Urban Planning, Association of American Publishers
One of Choice's Outstanding Academic Titles for 2013

Hardcover | 2012 | $49.50 / £34.95 | ISBN: 9780691145204
348 pp. | 8 1/2 x 9 1/2 | 16 color illus. 111 halftones. 233 line illus. 2 tables. | SHOPPING CART

eBook | ISBN: 9781400841998 |
Our eBook editions are available from these online vendors

Reviews | Table of Contents
Chapter 1[PDF] pdf-icon

For the Text: Corrections, Clarifications, and Comments

Google full text of this book:
 

Alex Hahn's Notre Dame Math in Architecture Course

bookjacketProfessors: An electronic version of a supplementary Solutions Manual is available for this book. It is restricted to teachers using the text in courses. To obtain a complimentary copy, please write to: Vickie_Kearn@press.princeton.edu

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.

Review:

"[Hahn] conducts an opulent historical and geographical tour."--Jascha Hoffman, New York Times Book Review

"Modern architects rely on algebra and calculus. Hahn turns these tools on historical structures from the Parthenon to the Hagia Sophia to St. Paul's Cathedral, revealing how they hold up and explaining the causes of visible contortions and cracks. . . . More engrossingly, Hahn employs mathematics to explore how architects have conceived of buildings through the ages. In the case of Milan's cathedral, Hahn's discussion is especially rich because his maths plays out against a backdrop of detailed historical documentation, including the testimony of the German [master builder]."--Jonathon Keats, New Scientist

"[H]andsomely produced and lavishly illustrated. . . . Hahn tends to avoid discussing some of the aesthetic versus engineering limitations in favor of explaining how things work. And in that area he can be very helpful to the experienced architecture fan and the novice as well. . . . The mathematical sections are well illustrated and pictures of buildings abound. . . . No effort has been spared to make this an informative and aesthetically pleasing book. And the problems are fun too."--Gerald L. Alexanderson, MAA Reviews

More reviews

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:

VISIT OUR MATH WEBSITE

Shopping Cart:

  • For ebooks:

Our eBook editions are available
from these online vendors:

  • Google Play eBook Store
  • Kno eBook Store
  • Many of our ebooks are available through
    library electronic resources including these platforms:

  • Books at JSTOR
  • Ebrary
  • Ebook Library
  • EBSCO Ebooks
  • MyiLibrary
  • Dawsonera (UK)

  • Shopping Cart:

    • For hardcover/paperback orders:

      For hardcover/paperback orders in the United States, Canada, Latin America, Asia, and Australia

      Hardcover: $49.50 ISBN: 9780691145204

      For hardcover/paperback orders in Europe, Africa, the Middle East, and India

      Hardcover: £34.95 ISBN: 9780691145204

      Prices subject to change without notice

      File created: 4/17/2014

    Questions and comments to: webmaster@press.princeton.edu
    Princeton University Press

    New Book E-mails
    New In Print
    PUP Blog
    Videos/Audios
    Sample Chapters
    Subjects
    Series
    Catalogs
    Textbooks
    For Reviewers
    Class Use
    Rights
    Permissions
    Ordering
    Recent Awards
    Princeton Shorts
    Freshman Reading
    Princeton APPS
    PUP Europe
    About Us
    Contact Us
    Links
    F.A.Q.
    MATH SITE
    PUP Home


    Bookmark and Share
    Send me emails
    about new books in:
    Mathematics
    Art and Architecture
    More Choices
    Email:
    Country:
    Name: