The New Mathematics of Architecture

The New Mathematics of Architecture PDF Author: Jane Burry
Publisher:
ISBN: 9780500342640
Category : Architectural design
Languages : en
Pages : 0

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Book Description
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.

New Mathematics of Architecture

New Mathematics of Architecture PDF Author: Jane Burry
Publisher: National Geographic Books
ISBN: 0500290253
Category : Architecture
Languages : en
Pages : 0

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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.

The New Mathematics of Architecture

The New Mathematics of Architecture PDF Author: Jane Burry
Publisher:
ISBN: 9780500342640
Category : Architectural design
Languages : en
Pages : 0

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Book Description
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.

Architecture of Mathematics

Architecture of Mathematics PDF Author: Simon Serovajsky
Publisher: CRC Press
ISBN: 042989354X
Category : Mathematics
Languages : en
Pages : 395

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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.

The Architecture of Modern Mathematics

The Architecture of Modern Mathematics PDF Author: J. Ferreiros
Publisher: OUP Oxford
ISBN: 0191513792
Category : Mathematics
Languages : en
Pages : 456

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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.

Mathematics in Architecture

Mathematics in Architecture PDF Author: Mario Salvadori
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 210

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Book Description


Architecture and Mathematics in Ancient Egypt

Architecture and Mathematics in Ancient Egypt PDF Author: Corinna Rossi
Publisher: Cambridge University Press
ISBN: 1107320518
Category : Social Science
Languages : en
Pages : 280

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Book Description
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.

Connections Between Mathematics, the Arts and Architecture

Connections Between Mathematics, the Arts and Architecture PDF Author: Nicoletta Sala
Publisher: Nova Science Publishers
ISBN: 9781536151954
Category : Architecture
Languages : en
Pages : 0

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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.

Nexus IV

Nexus IV PDF Author: Kim Williams
Publisher:
ISBN:
Category : Architecture
Languages : en
Pages : 280

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Book Description
This fourth book in the Nexus series offers papers that further broaden the horizons of studies in architecture and mathematics.

Architecture and Mathematics from Antiquity to the Future

Architecture and Mathematics from Antiquity to the Future PDF Author: Kim Williams
Publisher: Birkhäuser
ISBN: 3319001434
Category : Mathematics
Languages : en
Pages : 690

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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.

Mathematics of Space

Mathematics of Space PDF Author:
Publisher: Academy Press
ISBN: 9780470689806
Category : Architecture
Languages : en
Pages : 136

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Book Description
A new title in the Architectural Design series that explores the potential of computational mathematics in cutting-edge design Mathematics has always been a vital tool in the architect's trade, but the last fifteen years have seen a sharp rise in the power of computers and has led to computational abilities far beyond anything previously available. Modern design software and computing power have changed the traditional role of geometry in architecture and opened up new possibilities enabled by topology, non-Euclidean geometry, and other areas of mathematics. With insight from a top-notch list of contributors, including such notables as Philippe Morel and Fabien Scheurer, Mathematics in Space discusses how the advent of computation and information technology has affected the work of contemporary architects. This new title in the Architectural Design series updates architectural mathematics since the digital revolution With world-class contributors, this is an essential resource for anyone interested in the ways computation has transformed the discipline The book explores fascinating issues in modern design, most importantly the impact of mathematics on contemporary design creativity For students and practitioners alike, Mathematics in Space covers vital topics in a constantly changing discipline.