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Mathematics In Architecture
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Book Synopsis New Mathematics of Architecture by : Jane Burry
Download or read book New Mathematics of Architecture written by Jane Burry and published by National Geographic Books. This book was released on 2012-03-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully researched survey examines how architects now use digital tools and physics to build spatial constructs that would have been inconceivable even ten years ago. Architecture has always relied on mathematics to achieve visual harmony, structural integrity, and logical construction. Now digital tools and an increasing interest in physics have given architects the means to describe and build spatial constructs that would have been inconceivable even ten years ago. This carefully researched survey of forty-six international projects offers an overview of how different strategies are being employed through accessible illustrations and clear text. Each section presents case studies of projects by globally recognized architects in diagrams, photographs, and texts.
Book Synopsis Architecture of Mathematics by : Simon Serovajsky
Download or read book Architecture of Mathematics written by Simon Serovajsky and published by CRC Press. This book was released on 2020-08-11 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications. It describes the many interweaving relationships between different areas of mathematics and its practical applications, and as such provides unique reading for professional mathematicians and nonmathematicians alike. This book can be a very important resource both for the teaching of mathematics and as a means to outline the research links between different subjects within and beyond the subject. Features All notions and properties are introduced logically and sequentially, to help the reader gradually build understanding. Focusses on illustrative examples that explain the meaning of mathematical objects and their properties. Suitable as a supplementary resource for teaching undergraduate mathematics, and as an aid to interdisciplinary research. Forming the reader's understanding of Mathematics as a unified science, the book helps to increase his general mathematical culture.
Book Synopsis Mathematics in Architecture by : Mario Salvadori
Download or read book Mathematics in Architecture written by Mario Salvadori and published by . This book was released on 1968 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 385 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.
Book Synopsis The Architecture of Modern Mathematics by : J. Ferreiros
Download or read book The Architecture of Modern Mathematics written by J. Ferreiros and published by OUP Oxford. This book was released on 2006-04-27 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.
Book Synopsis Architecture and Mathematics in Ancient Egypt by : Corinna Rossi
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.
Book Synopsis A Theory of Architecture by : Nikos A. Salingaros
Download or read book A Theory of Architecture written by Nikos A. Salingaros and published by Off The Common Books. This book was released on 2021-04-02 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than a decade in the making, this is a textbook of architecture, useful for every architect: from first-year students, to those taking senior design studio, to graduate students writing a Ph.D. dissertation in architectural theory, to experienced practicing architects. It is very carefully written so that it can be read even by the beginning architecture student. The information contained here is a veritable gold mine of design techniques. This book teaches the reader how to design by adapting to human needs and sensibilities, yet independently of any particular style. Here is a unification of genuine architectural knowledge that brings a new clarity to the discipline. It explains much of what people instinctively know about architecture, and puts that knowledge for the first time in a concise, understandable form. Dr. Salingaros has experience in the organization of the built environment that few practicing architects have. The later chapters of this new book touch on very sensitive topics: what drives architects to produce the forms they build; and why architects use only a very restricted visual vocabulary. Is it personal inventiveness, or is it something more, which perhaps they are not even aware of? There has not been such a book treating the very essence of architecture. The only other author who is capable of raising a similar degree of passion (and controversy) is Christopher Alexander, who happens to be Dr. Salingaros’ friend and architectural mentor. “Surely no voice is more thought-provoking than that of this intriguing, perhaps historically important, new thinker?” From the Preface by His Royal Highness, Charles, The Prince of Wales “A New Vitruvius for 21st-Century Architecture and Urbanism?” Dr. Ashraf SalamaChair, Department of Architecture and Urban Planning, Qatar University, Doha, Qatar “Architecture, Salingaros argues, is governed by universal and intuitively understood principles, which have been exemplified by all successful styles and in all civilizations that have left a record of themselves in their buildings. The solution is not to return to the classical styles… the solution is to return to first principles and build within their constraints… ” Dr. Roger Scruton Philosopher, London, UK “A fundamental text, among the most significant of the past several years.” Dr. Vilma Torselli Architect and Author, Milan, Italy “A Theory of Architecture demonstrates how mathematics and the social sciences offer keys to designing a humane architecture. In this brilliant tome Salingaros explains why many modern buildings are neither beautiful nor harmonious and, alternatively, how architects and patrons can employ scale, materials and mathematical logic to design structures which are exciting, nourishing, and visually delightful.” Duncan G. Stroik Professor of Architecture, University of Notre Dame, Indiana “Salingaros explores ways to clarify and formalize our understanding of aesthetic forms in the built environment, using mathematics, thermodynamics, Darwinism, complexity theory and cognitive sciences. Salingaros’ remarkable observations suggest that concepts of complexity and scale can someday provide a full-bodied explanation for both the practice and the appreciation of architecture.” Kim Sorvig Architecture & Planning, University of New Mexico See this book’s Wikipedia entry http://en.wikipedia.org/wiki/A_Theory_of_Architecture Nikos A. Salingaros is an internationally known urbanist and architectural theorist who has studied the scientific bases underlying architecture for thirty years. Utne Reader ranked him as “One of 50 visionaries who are changing your world”, and Planetizen as 11th among “The top 100 urban thinkers of all time”. He is Professor of Mathematics at the University of Texas at San Antonio.
Book Synopsis Geometrical Objects by : Anthony Gerbino
Download or read book Geometrical Objects written by Anthony Gerbino and published by Springer. This book was released on 2014-07-21 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the mathematical character of architectural practice in diverse pre- and early modern contexts. It takes an explicitly interdisciplinary approach, which unites scholarship in early modern architecture with recent work in the history of science, in particular, on the role of practice in the “scientific revolution”. As a contribution to architectural history, the volume contextualizes design and construction in terms of contemporary mathematical knowledge, attendant forms of mathematical practice, and relevant social distinctions between the mathematical professions. As a contribution to the history of science, the volume presents a series of micro-historical studies that highlight issues of process, materiality, and knowledge production in specific, situated, practical contexts. Our approach sees the designer’s studio, the stone-yard, the drawing floor, and construction site not merely as places where the architectural object takes shape, but where mathematical knowledge itself is deployed, exchanged, and amplified among various participants in the building process.
Book Synopsis Architecture and Mathematics from Antiquity to the Future by : Kim Williams
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 2016-10-05 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 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.
Book Synopsis Math in the Real World of Architecture by : Shirley Cook
Download or read book Math in the Real World of Architecture written by Shirley Cook and published by Incentive Publications. This book was released on 1996-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Fractal Dimension of Architecture by : Michael J. Ostwald
Download or read book The Fractal Dimension of Architecture written by Michael J. Ostwald and published by Birkhäuser. This book was released on 2016-09-01 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal analysis is a method for measuring, analysing and comparing the formal or geometric properties of complex objects. In this book it is used to investigate eighty-five buildings that have been designed by some of the twentieth-century’s most respected and celebrated architects. Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenman, Richard Meier and Kazuyo Sejima amongst others, this book uses mathematics to analyse arguments and theories about some of the world’s most famous designs. Starting with 625 reconstructed architectural plans and elevations, and including more than 200 specially prepared views of famous buildings, this book presents the results of the largest mathematical study ever undertaken into architectural design and the largest single application of fractal analysis presented in any field. The data derived from this study is used to test three overarching hypotheses about social, stylistic and personal trends in design, along with five celebrated arguments about twentieth-century architecture. Through this process the book offers a unique mathematical insight into the history and theory of design.
Download or read book Nexus IV written by Kim Williams and published by . This book was released on 2002 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourth book in the Nexus series offers papers that further broaden the horizons of studies in architecture and mathematics.
Book Synopsis The Geometry of Environment by : Lionel March
Download or read book The Geometry of Environment written by Lionel March and published by Routledge. This book was released on 2020-10-31 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1971 The Geometry of Environment is a fusion of art and mathematics introducing stimulating ideas from modern geometry, using illustrations from architecture and design. The revolution in the teaching of mathematics and the advent of the computer in design challenge traditional ways of appreciating the space about us, and expand the ‘structural’ understanding of our surroundings through such concepts as transformations, symmetry groups, sets and graphs. This book aims to show the relevance of ‘new maths’ and encourages exploration of the widening intellectual horizons of environmental design and architecture.
Book Synopsis Fractal Geometry in Architecture and Design by : Carl Bovill
Download or read book Fractal Geometry in Architecture and Design written by Carl Bovill and published by Springer Science & Business Media. This book was released on 2013-03-11 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: na broad sense Design Science is the grammar of a language of images Irather than of words. Modern communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multi dimensional. Architectural renderings commonly show projections onto three mutual ly perpendicular planes, or consist of cross sections at different altitudes capa ble of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings comprising ramps and other features which disguise the separation between floors, and consequently limit the cre ative process of the architect. Analogously, we tend to analyze natural struc tures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures. Perception is a complex process. Our senses record; they are analogous to audio or video devices. We cannot, however, claim that such devices perceive.
Book Synopsis The Mathematics of the Ideal Villa and Other Essays by : Colin Rowe
Download or read book The Mathematics of the Ideal Villa and Other Essays written by Colin Rowe and published by MIT Press. This book was released on 1982-09-14 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of an important architectural theorist's essays considers and compares designs by Palladio and Le Corbusier, discusses mannerism and modern architecture, architectural vocabulary in the 19th century, the architecture of Chicago, neoclassicism and modern architecture, and the architecture of utopia.
Book Synopsis Architectural Geometry by : Helmut Pottmann
Download or read book Architectural Geometry written by Helmut Pottmann and published by . This book was released on 2007 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Architectural Geometry is the first book to introduce a revolutionary new approach to design. Geometry lies at the core of the architectural design process. It is omnipresent, from the initial form-finding stages to the actual construction. Modern constructive geometry provides a variety of tools for the efficient design, analysis, and manufacture of complex shapes. This results in new challenges for architecture. However, the architectural application also poses new problems to geometry. Architectural geometry is therefore an entire research area, currently emerging at the border between applied geometry and architecture. Written for students, architects, construction engineers, and industrial designers – Architectural Geometry is a source of inspiration for scientists interested in applications of geometry processing in architecture and art. With over 700 pages, including 2,100 full-color images of built architecture, architectural projects, and artwork, Architectural Geometry takes readers from basic to advanced geometry then leads them to the cutting-edge of research in the architectural geometry field.
