Architecture and Mathematics from Antiquity to the Future PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Architecture and Mathematics from Antiquity to the Future PDF full book. Access full book title Architecture and Mathematics from Antiquity to the Future by Kim Williams. Download full books in PDF and EPUB format.
Author: Kim Williams
Publisher: Birkhäuser
ISBN: 3319001434
Category : Mathematics
Languages : en
Pages : 680
Get Book Here
Book Description
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: Jane Burry
Publisher: National Geographic Books
ISBN: 0500290253
Category : Architecture
Languages : en
Pages : 0
Get Book Here
Book Description
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.
Author: Simon Serovajsky
Publisher: CRC Press
ISBN: 0429893531
Category : Mathematics
Languages : en
Pages : 383
Get Book Here
Book Description
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.
Author: J. Ferreiros
Publisher: OUP Oxford
ISBN: 0191513792
Category : Mathematics
Languages : en
Pages : 456
Get Book Here
Book Description
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.
Author: Mario Salvadori
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 210
Get Book Here
Book Description
Author: Nicoletta Sala
Publisher: Nova Science Publishers
ISBN: 9781536151954
Category : Architecture
Languages : en
Pages : 0
Get Book Here
Book Description
The purpose of this book is to analyze the interdisciplinary aspects of mathematics and geometry in reference to nature, art, and architecture.In Chapter 1, we introduce symmetry and its different meanings. Symmetry is a notion, which has been applied in the arts and architecture to find harmony and beauty. It joins aesthetics and practice, science and economy, mathematics and philosophy. In this chapter, we also analyze the influence of Vitruvius and the concept of old symmetry, received by the Renaissance. It is also interesting to note how in contemporary architecture there is often the presence of the "break" of symmetry (for example in the Frank O. Gehry's works).Chapter 2 explains how proportions, and in particular, the golden section, has introduced aesthetic canons that have strongly influenced many artists like Polycletus, and architects, from Ictinus to Le Corbusier.In Chapter 3, we discover how curves and spirals find their application in artistic works, for example in Mycenaean jewelry, and architectural works, from the Baroque of Francesco Borromini to the Land Art of Smithson.Chapter 4 presents the importance and influence that Platonic solids and polyhedrons have had on philosophy and art through different historical periods and different cultures. For instance, we look at how Platonic solids are connected to the theory of Empedocles' elements and Hippocrates' theory of humors.Chapter 5 describes surfaces, discovering how different cultures have used them in different manners, including Roman aqueducts, iron bridges, and finally arriving on modern structures that base their forms on hyperboloids and paraboloids.In Chapter 6, we introduce fractal geometry, as a geometry that tries to explain nature's irregular shapes, trying to overcome the limitations imposed by "old" Euclidean geometry. We also analyze how fractal geometry has influenced architecture in this century.
Author: Kim Williams
Publisher: Birkhäuser
ISBN: 9783319343112
Category : Mathematics
Languages : en
Pages : 0
Get Book Here
Book Description
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: Birkhäuser
ISBN: 3319001434
Category : Mathematics
Languages : en
Pages : 680
Get Book Here
Book Description
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: Theodora Vardouli
Publisher: MIT Press
ISBN: 0262379325
Category : Architecture
Languages : en
Pages : 241
Get Book Here
Book Description
How a protean mathematical object, the graph, ushered in new images, tools, and infrastructures for design and catalyzed a digital future for architecture. In Graph Vision, Theodora Vardouli offers a fresh history of architecture’s early entanglements with modern mathematics and digital computing by focusing on a hidden protagonist: the graph. Fueled by iconoclastic sentiments and skepticism of geometric depiction, architects, she explains, turned to the skeletal underpinnings of their work, and with it the graph, as a site of representation, operation, and political possibility. Taking the reader on an enthralling journey through a polyvalent mathematical entity, Vardouli combines close readings of graphs’ architectural manifestations as images, tools, and infrastructures for design with original archival work on research centers that spearheaded mathematical and computational approaches to architecture. Structured thematically, Graph Vision weaves together archival findings on influential research groups such as the Land Use Built Form Studies Center at the University of Cambridge, the Center for Environmental Structure at Berkeley, the Architecture Machine Group at the Massachusetts Institute of Technology, among others, as well as important figures who led, or worked in proximity to, these groups, including Lionel March, Christopher Alexander, and Yona Friedman. Together, this material chronicles the emergence of both a new way of seeing and a new prospect for the discipline that prefigured its digital future—of a “graph vision.” Vardouli argues that this vision was one of vacillation toward visual appearance. Digital approaches to architecture, she ultimately reveals, were founded on a profound ambivalence toward the visual realm endemic to mid-twentieth century architectural and mathematical modernisms.
Author: Tom Verebes
Publisher: Routledge
ISBN: 1135055149
Category : Architecture
Languages : en
Pages : 311
Get Book Here
Book Description
Computational design has become widely accepted into mainstream architecture, but this is the first book to advocate applying it to create adaptable masterplans for rapid urban growth, urban heterogeneity, through computational urbanism. Practitioners and researchers here discuss ideas from the fields of architecture, urbanism, the natural sciences, computer science, economics, and mathematics to find solutions for managing urban change in Asia and developing countries throughout the world. Divided into four parts (historical and theoretical background, our current situation, methodologies, and prototypical practices), the book includes a series of essays, interviews, built case studies, and original research to accompany chapters written by editor Tom Verebes to give you the most comprehensive overview of this approach. Essays by Marina Lathouri, Jorge Fiori, Jonathan Solomon, Patrik Schumacher, Peter Trummer, and David Jason Gerber. Interviews with Dana Cuff, Xu Wei Guo, Matthew Prior, Tom Barker, Su Yunsheng, and Brett Steele. Built case studies by Zaha Hadid Architects, James Corner Field Operations, XWG Studio, MAD, OCEAN Consultancy Network, Plasma Studio, Groundlab, Peter Trummer, Serie Architects, dotA, and Rocker-Lange Architects.
Author: John Shannon Hendrix
Publisher: Routledge
ISBN: 0415639131
Category : Architecture
Languages : en
Pages : 229
Get Book Here
Book Description
Continuing the themes that have been addressed in The Humanities in Architectural Design and The Cultural Role of Architecture, this book illustrates the important role that a contradiction between form and function plays in compositional strategies in architecture. The contradiction between form and function is seen as a device for poetic expression, for the expression of ideas, in architecture. The book contributes to the project of re-establishing architecture as a humanistic discipline, to re-establish an emphasis on the expression of ideas, and on the ethical role of architecture to engage the intellect of the observer and to represent human identity.
