Architecture And Mathematics From Antiquity To The Future

Author : Kim Williams
Publisher : Birkhäuser
ISBN 13 : 3319001434
Total Pages : 690 pages
Book Rating : 4.32/5 ( download)

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Download or read book Architecture and Mathematics from Antiquity to the Future written by Kim Williams and published by Birkhäuser. This book was released on 2015-02-11 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals. Volume II covers architecture from the Late Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the geographic span of the volume’s content includes works in the United States of America and Australia, in addition to those in Europe and Asia.

Author : Kim Williams
Publisher :
ISBN 13 : 9783319001449
Total Pages : pages
Book Rating : 4.42/5 ( download)

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Download or read book Architecture and Mathematics from Antiquity to the Future written by Kim Williams and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this collection of essays is to present a broad portrait of the ways in which two seemingly different disciplines are interconnected. The diversity and varied texture of the essays richly illustrates the affinity between architecture and mathematics. As the almost 100 papers presented in this two-volume publication show, every age and every culture has relied on principles of mathematics incorporated in their works of architecture to imbue their built environment with meaning and order. Included are discussions of geometry, proportional systems, linear algebra, periodic and aperiodic tilings, fractals, perspective, computer science and mechanics. Western architecture of every period is examined: Egyptian, Roman, Medieval, Renaissance, Baroque, Enlightenment, twentieth-century and beyond, as is the architecture of Turkey, China, India, Japan, Australia and Islam. The mathematical nature of the architecture of Leon Battista Alberti, Andrea Palladio and Frank Lloyd Wright is examined, and the philosophical background behind Renaissance architecture is explored. Contributors come from a wide range of disciplines and cultural backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators from the world over. Architecture may be seen and understood in a new light, by professionals as well as non-professionals.

Author : Kim Williams
Publisher : Birkhäuser
ISBN 13 : 9783319374864
Total Pages : 0 pages
Book Rating : 4.69/5 ( download)

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Download or read book Architecture and Mathematics from Antiquity to the Future written by Kim Williams and published by Birkhäuser. This book was released on 2016-10-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals. Volume I covers architecture from antiquity through Egyptian, Mayan, Greek, Roman, Medieval, Inkan, Gothic and early Renaissance eras and styles. The themes that are covered range from symbolism and proportion to measurement and structural stability. From Europe to Africa, Asia and South America, the chapters span different countries, cultures and practices.

Author : Kim Williams
Publisher : Birkhäuser
ISBN 13 : 331900137X
Total Pages : 735 pages
Book Rating : 4.71/5 ( download)

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Download or read book Architecture and Mathematics from Antiquity to the Future written by Kim Williams and published by Birkhäuser. This book was released on 2015-02-09 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals. Volume I covers architecture from antiquity through Egyptian, Mayan, Greek, Roman, Medieval, Inkan, Gothic and early Renaissance eras and styles. The themes that are covered range from symbolism and proportion to measurement and structural stability. From Europe to Africa, Asia and South America, the chapters span different countries, cultures and practices.

Author : Roger Burrows
Publisher : National Geographic Books
ISBN 13 : 0500519544
Total Pages : 0 pages
Book Rating : 4.47/5 ( download)

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Download or read book 3D Thinking in Design and Architecture written by Roger Burrows and published by National Geographic Books. This book was released on 2018-05-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new interdisciplinary perspective on architecture and geometry—from Athenian Ruins to the Chrysler building The geometric foundations, forms, and patterns in today’s architecture, design and, decorative arts can trace their origins in past cultures. From humankind’s first path-like doodles on cave walls through to the higher abstractions developed to make accurate measurements and predictions, the three-dimensional forms we design and build have always been dependent on available materials, human needs, and the limits of our imaginations. 3D Thinking in Design and Architecture tells the story of the intimate relationship between geometry, mathematics and man-made design throughout human history, from the Neolithic period through the Indian, Egyptian, Babylonian, Chinese, Greek, Celtic, Islamic and Renaissance cultures, to the present and the possible future. Presenting key principles that can be applied across all design disciplines, design expert Roger Burrows relates how geometry as a visual language has evolved to meet our needs, initiated new technologies, and changed the way we think about the world around us. With a wealth of original artwork by the author to explain his ideas, this book will be an essential reference and source of inspiration for students and design professionals.

Author : Corinna Rossi
Publisher : Cambridge University Press
ISBN 13 : 1107320518
Total Pages : 400 pages
Book Rating : 4.12/5 ( download)

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Download or read book Architecture and Mathematics in Ancient Egypt written by Corinna Rossi and published by Cambridge University Press. This book was released on 2004-04-15 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this fascinating study, architect and Egyptologist Corinna Rossi analyses the relationship between mathematics and architecture in ancient Egypt by exploring the use of numbers and geometrical figures in ancient architectural projects and buildings. While previous architectural studies have searched for abstract 'universal rules' to explain the history of Egyptian architecture, Rossi attempts to reconcile the different approaches of archaeologists, architects and historians of mathematics into a single coherent picture. Using a study of a specific group of monuments, the pyramids, and placing them in the context of their cultural and historical background, Rossi argues that theory and practice of construction must be considered as a continuum, not as two separated fields, in order to allow the original planning process of a building to re-emerge. Highly illustrated with plans, diagrams and figures, this book is essential reading for all scholars of Ancient Egypt and the architecture of ancient cultures.

Author : Lee, Ju Hyun
Publisher : IGI Global
ISBN 13 : 1799817008
Total Pages : 351 pages
Book Rating : 4.00/5 ( download)

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Download or read book Grammatical and Syntactical Approaches in Architecture: Emerging Research and Opportunities written by Lee, Ju Hyun and published by IGI Global. This book was released on 2019-12-20 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape grammar and space syntax have been separately developed but rarely combined in any significant way. The first of these is typically used to investigate or generate the formal or geometric properties of architecture, while the second is used to analyze the spatial, topological, or social properties of architecture. Despite the reciprocal relationship between form and space in architecture—it is difficult to conceptualize a completed building without a sense of both of these properties—the two major computational theories have been largely developed and applied in isolation from each another. Grammatical and Syntactical Approaches in Architecture: Emerging Research and Opportunities is a critical scholarly resource that explores the relationship between shape grammar and space syntax for urban planning and architecture and enables the creative discovery of both the formal and spatial features of an architectural style or type. This book, furthermore, presents a new method to selectively capture aspects of both the grammar and syntax of architecture. Featuring a range of topics such as mathematical analysis, spatial configuration, and domestic architecture, this book is essential for architects, policymakers, urban planners, researchers, academicians, and students.

Author : Andrew Witt
Publisher : MIT Press
ISBN 13 : 0262543001
Total Pages : 433 pages
Book Rating : 4.02/5 ( download)

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Download or read book Formulations written by Andrew Witt and published by MIT Press. This book was released on 2022-01-11 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: An investigation of mathematics as it was drawn, encoded, imagined, and interpreted by architects on the eve of digitization in the mid-twentieth century. In Formulations, Andrew Witt examines the visual, methodological, and cultural intersections between architecture and mathematics. The linkages Witt explores involve not the mystic transcendence of numbers invoked throughout architectural history, but rather architecture’s encounters with a range of calculational systems—techniques that architects inventively retooled for design. Witt offers a catalog of mid-twentieth-century practices of mathematical drawing and calculation in design that preceded and anticipated digitization as well as an account of the formal compendia that became a cultural currency shared between modern mathematicians and modern architects. Witt presents a series of extensively illustrated “biographies of method”—episodes that chart the myriad ways in which mathematics, particularly the mathematical notion of modeling and drawing, was spliced into the creative practice of design. These include early drawing machines that mechanized curvature; the incorporation of geometric maquettes—“theorems made flesh”—into the toolbox of design; the virtualization of buildings and landscapes through surveyed triangulation and photogrammetry; formal and functional topology; stereoscopic drawing; the economic implications of cubic matrices; and a strange synthesis of the technological, mineral, and biological: crystallographic design. Trained in both architecture and mathematics, Witt uses mathematics as a lens through which to understand the relationship between architecture and a much broader set of sciences and visual techniques. Through an intercultural exchange with other disciplines, he argues, architecture adapted not only the shapes and surfaces of mathematics but also its values and epistemic ideals.

Author : Alberto Lastra
Publisher : Springer Nature
ISBN 13 : 3030813177
Total Pages : 293 pages
Book Rating : 4.78/5 ( download)

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Download or read book Parametric Geometry of Curves and Surfaces written by Alberto Lastra and published by Springer Nature. This book was released on 2021-09-06 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a thorough introduction to the differential geometry of parametrized curves and surfaces, along with a wealth of applications to specific architectural elements. Geometric elements in architecture respond to practical, physical and aesthetic needs. Proper understanding of the mathematics underlying the geometry provides control over the construction. This book relates the classical mathematical theory of parametrized curves and surfaces to multiple applications in architecture. The presentation is mathematically complete with numerous figures and animations illustrating the theory, and special attention is given to some of the recent trends in the field. Solved exercises are provided to see the theory in practice. Intended as a textbook for lecture courses, Parametric Geometry of Curves and Surfaces is suitable for mathematically-inclined students in engineering, architecture and related fields, and can also serve as a textbook for traditional differential geometry courses to mathematics students. Researchers interested in the mathematics of architecture or computer-aided design will also value its combination of precise mathematics and architectural examples.

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783764377618
Total Pages : 128 pages
Book Rating : 4.15/5 ( download)

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Download or read book Nexus Network Journal 8,2 written by and published by Springer Science & Business Media. This book was released on 2006-12-01 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an exploration of the arch from the points of view of architecture, mathematics, engineering, construction history, and cultural symbolism. Leonardo da Vinci described the arch as "two weaknesses which, leaning on each other, become a strength," a metaphor for the way that science and art lean on each other to strengthen our lives.