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.
Download or read book The New Mathematics of Architecture written by Jane Burry and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: From chaos and complexity theory to topology, from optimization to datascapes: the design and construction of complex, sublime buildings that will change the way we perceive major structures.
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 382 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.
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.
Download or read book Toward an Architecture written by Le Corbusier and published by . This book was released on 2007 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in 1923, Toward an Architecture had an immediate impact on architects throughout Europe and remains a foundational text for students and professionals. Le Corbusier urges readers to cease thinking of architecture as a matter of historical styles and instead open their eyes to the modern world. Simultaneously a historian, critic, and prophet, he provocatively juxtaposes views of classical Greece and Renaissance Rome with images of airplanes, cars, and ocean liners. Le Corbusier's slogans--such as "the house is a machine for living in"--and philosophy changed how his contemporaries saw the relationship between architecture, technology, and history. This edition includes a new translation of the original text, a scholarly introduction, and background notes that illuminate the text and illustrations.
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.
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 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.
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.
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.
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.
Download or read book Math and Architectures of Deep Learning written by Krishnendu Chaudhury and published by Simon and Schuster. This book was released on 2024-03-26 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math and Architectures of Deep Learning bridges the gap between theory and practice, laying out the math of deep learning side by side with practical implementations in Python and PyTorch. You'll peer inside the "black box" to understand how your code is working, and learn to comprehend cutting-edge research you can turn into practical applications. Math and Architectures of Deep Learning sets out the foundations of DL usefully and accessibly to working practitioners. Each chapter explores a new fundamental DL concept or architectural pattern, explaining the underpinning mathematics and demonstrating how they work in practice with well-annotated Python code. You'll start with a primer of basic algebra, calculus, and statistics, working your way up to state-of-the-art DL paradigms taken from the latest research. Learning mathematical foundations and neural network architecture can be challenging, but the payoff is big. You'll be free from blind reliance on pre-packaged DL models and able to build, customize, and re-architect for your specific needs. And when things go wrong, you'll be glad you can quickly identify and fix problems.
Download or read book Theorizing a New Agenda for Architecture written by Kate Nesbitt and published by Princeton Architectural Press. This book was released on 1996-03 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theorizing a New Agenda for Architecture: An Anthology of ArchitecturalTheory collects in a single volume the most significant essays on architectural theory of the last thirty years. A dynamic period of reexamination of the discipline, the postmodern eraproduced widely divergent and radical viewpoints on issues of making, meaning, history, and the city. Among the paradigms presented arearchitectural postmodernism, phenomenology, semiotics, poststructuralism, deconstruction, and feminism. By gathering these influential articles from a vast array of books and journals into a comprehensive anthology, Kate Nesbitt has created a resource of great value. Indispensable to professors and students of architecture and architectural theory, Theorizing a New Agenda also serves practitioners and the general public, as Nesbitt provides an overview, a thematic structure, and a critical introduction to each essay. The list of authors in Theorizing a New Agenda reads like a "Who's Who" of contemporary architectural thought: Tadao Ando, Giulio Carlo Argan, Alan Colquhoun, Jacques Derrida, Peter Eisenman, Marco Frascari, Kenneth Frampton, Diane Ghirardo, Vittorio Gregotti, Karsten Harries, Rem Koolhaas, Christian Norberg-Schulz, Aldo Rossi, Colin Rowe, Thomas Schumacher, Ignasi de Sol-Morales Rubi, Bernard Tschumi, Robert Venturi and Denise Scott Brown, and Anthony Vidler. A bibliography and notes on all the contributors are also included.
Download or read book A Pattern Language written by Christopher Alexander and published by Oxford University Press. This book was released on 2018-09-20 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt: You can use this book to design a house for yourself with your family; you can use it to work with your neighbors to improve your town and neighborhood; you can use it to design an office, or a workshop, or a public building. And you can use it to guide you in the actual process of construction. After a ten-year silence, Christopher Alexander and his colleagues at the Center for Environmental Structure are now publishing a major statement in the form of three books which will, in their words, "lay the basis for an entirely new approach to architecture, building and planning, which will we hope replace existing ideas and practices entirely." The three books are The Timeless Way of Building, The Oregon Experiment, and this book, A Pattern Language. At the core of these books is the idea that people should design for themselves their own houses, streets, and communities. This idea may be radical (it implies a radical transformation of the architectural profession) but it comes simply from the observation that most of the wonderful places of the world were not made by architects but by the people. At the core of the books, too, is the point that in designing their environments people always rely on certain "languages," which, like the languages we speak, allow them to articulate and communicate an infinite variety of designs within a forma system which gives them coherence. This book provides a language of this kind. It will enable a person to make a design for almost any kind of building, or any part of the built environment. "Patterns," the units of this language, are answers to design problems (How high should a window sill be? How many stories should a building have? How much space in a neighborhood should be devoted to grass and trees?). More than 250 of the patterns in this pattern language are given: each consists of a problem statement, a discussion of the problem with an illustration, and a solution. As the authors say in their introduction, many of the patterns are archetypal, so deeply rooted in the nature of things that it seemly likely that they will be a part of human nature, and human action, as much in five hundred years as they are today.
Download or read book Game Engine Architecture Third Edition written by Jason Gregory and published by CRC Press. This book was released on 2018-07-20 with total page 1240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new and improved third edition of the highly popular Game Engine Architecture, Jason Gregory draws on his nearly two decades of experience at Midway, Electronic Arts and Naughty Dog to present both the theory and practice of game engine software development. In this book, the broad range of technologies and techniques used by AAA game studios are each explained in detail, and their roles within a real industrial-strength game engine are illustrated. New to the Third Edition This third edition offers the same comprehensive coverage of game engine architecture provided by previous editions, along with updated coverage of: computer and CPU hardware and memory caches, compiler optimizations, C++ language standardization, the IEEE-754 floating-point representation, 2D user interfaces, plus an entirely new chapter on hardware parallelism and concurrent programming. This book is intended to serve as an introductory text, but it also offers the experienced game programmer a useful perspective on aspects of game development technology with which they may not have deep experience. As always, copious references and citations are provided in this edition, making it an excellent jumping off point for those who wish to dig deeper into any particular aspect of the game development process. Key Features Covers both the theory and practice of game engine software development Examples are grounded in specific technologies, but discussion extends beyond any particular engine or API. Includes all mathematical background needed. Comprehensive text for beginners and also has content for senior engineers.
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.
Download or read book Space Time and Architecture written by Sigfried Giedion and published by Harvard University Press. This book was released on 2009-02-28 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This new edition ensures that the book will continue to be internationally acknowledged as the standard work on the development of modern architecture." -Walter Gropius "A remarkable accomplishment. . . one of the most valuable reference books for students and professionals concerned with the reshaping of our environment. " -José Luis Sert A milestone in modern thought, Space, Time and Architecture has been reissued many times since its first publication in 1941 and translated into half a dozen languages. In this revised edition of Sigfried Giedion’s classic work, major sections have been added and there are 81 new illustrations. The chapters on leading contemporary architects have been greatly expanded. There is new material on the later development of Frank Lloyd Wright and the more recent buildings of Walter Gropius, particularly his American Embassy in Athens. In his discussion of Le Corbusier, Mr. Giedion provides detailed analyses of the Carpenter Center at Harvard University, Le Corbusier’s only building in the United States, and his Priory of La Tourette near Lyons. There is a section on his relations with his clients and an assessment of his influence on contemporary architecture, including a description of the Le Corbusier Center in Zurich (designed just before his death), which houses his works of art. The chapters on Mies van der Rohe and Alvar Aalto have been brought up to date with examples of their buildings in the sixties. There is an entirely new chapter on the Danish architect Jørn Utzon, whose work, as exemplified in his design for the Sydney Opera House, Mr. Giedion considers representative of post–World War II architectural concepts. A new essay, “Changing Notions of the City,” traces the evolution of the structure of the city throughout history and examines current attempts to deal with urban growth, as shown in the work of such architects as José Luis Sert, Kenzo Tange, and Fumihiko Maki. Mr. Sert’s Peabody Terrace is discussed as an example of the interlocking of the collective and individual spheres. Finally, the conclusion has been enlarged to include a survey of the limits of the organic in architecture.
