LEADER 04217nam 2200673Ia 450 001 9910789947703321 005 20210707142400.0 010 $a1-280-49439-5 010 $a9786613589620 010 $a1-4008-4199-2 024 7 $a10.1515/9781400841998 035 $a(CKB)2670000000161834 035 $a(EBL)879136 035 $a(OCoLC)782923540 035 $a(SSID)ssj0000623125 035 $a(PQKBManifestationID)11435064 035 $a(PQKBTitleCode)TC0000623125 035 $a(PQKBWorkID)10647945 035 $a(PQKB)10064728 035 $a(MiAaPQ)EBC879136 035 $a(MdBmJHUP)muse43236 035 $a(DE-B1597)453807 035 $a(OCoLC)979755146 035 $a(DE-B1597)9781400841998 035 $a(Au-PeEL)EBL879136 035 $a(CaPaEBR)ebr10546017 035 $a(CaONFJC)MIL358962 035 $a(PPN)170254070 035 $a(EXLCZ)992670000000161834 100 $a20110811d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical excursions to the world's great buildings$b[electronic resource] /$fAlexander J. Hahn 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$dc2012 215 $a1 online resource (345 p.) 300 $aDescription based upon print version of record. 311 $a0-691-14520-2 320 $aIncludes bibliographical references and index. 327 $tFrontmatter --$tContents --$tPreface --$t1. Humanity Awakening: Sensing Form and Creating Structures --$t2. Greek Geometry and Roman Engineering --$t3. Architecture Inspired by Faith --$t4. Transmission of Mathematics and Transition in Architecture --$t5. The Renaissance: Architecture and the Human Spirit --$t6. A New Architecture: Materials, Structural Analysis, Computers, and Design --$t7. Basic Calculus and Its Application to the Analysis of Structures --$tGlossary of Architectural Terms --$tReferences --$tIndex --$tPhoto Sources 330 $aFrom 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. 606 $aArchitecture$xMathematics 606 $aArchitectural design 606 $aArchitecture$xData processing 615 0$aArchitecture$xMathematics. 615 0$aArchitectural design. 615 0$aArchitecture$xData processing. 676 $a720.1/51 700 $aHahn$b Alexander$f1943-$058966 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910789947703321 996 $aMathematical excursions to the world's great buildings$93775588 997 $aUNINA