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Original Essays | September 15, 2014

Lois Leveen: IMG Forsooth Me Not: Shakespeare, Juliet, Her Nurse, and a Novel



There's this writer, William Shakespeare. Perhaps you've heard of him. He wrote this play, Romeo and Juliet. Maybe you've heard of it as well. It's... Continue »
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Mathematical Excursions to the World's Great Buildings

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Mathematical Excursions to the World's Great Buildings Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

"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

Synopsis:

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.

About the Author

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."

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

Product Details

ISBN:
9780691145204
Author:
Hahn, Alexander
Publisher:
Princeton University Press
Author:
Hahn, Alexander J.
Subject:
History
Subject:
Mathematics
Subject:
Art and architecture
Subject:
Architecture-Urban Planning
Copyright:
Publication Date:
20120731
Binding:
HARDCOVER
Language:
English
Illustrations:
16 color illus. 111 halftones. 233 line
Pages:
336
Dimensions:
9.5 x 8.5 in

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Related Subjects

» Arts and Entertainment » Architecture » Buildings » General
» Arts and Entertainment » Architecture » Urban Planning
» Education » Teaching » Architecture
» Reference » Science Reference » General
» Religion » Comparative Religion » General
» Science and Mathematics » Featured Titles in Tech » General
» Science and Mathematics » Featured Titles in Tech » Mathematics & Physics
» Science and Mathematics » Mathematics » General
» Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
» Science and Mathematics » Mathematics » History
» Science and Mathematics » Mathematics » Popular Surveys and Recreational

Mathematical Excursions to the World's Great Buildings New Hardcover
0 stars - 0 reviews
$49.50 In Stock
Product details 336 pages Princeton University Press - English 9780691145204 Reviews:
"Synopsis" by , "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

"Synopsis" by , 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.

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