Architecture and Mathematics from Antiquity to the Future


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 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.




Architecture and Mathematics from Antiquity to the Future


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.




3D Thinking in Design and Architecture


Book Description

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.




Architecture and Mathematics from Antiquity to the Future


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.




Architecture and Mathematics in Ancient Egypt


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.




Parametric Geometry of Curves and Surfaces


Book Description

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.




Grammatical and Syntactical Approaches in Architecture


Book Description

This book illustrates syntactically derived and grammatically interpolated approaches for architectural configuration, analysis, and design generation




The Future Has an Ancient Heart


Book Description

Feminist cultural historian Lucia Chiavola Birnbaum caps her previous work with The Future has an Ancient Heart, a scholarly study of the transformative legacy of African origins and values of caring, sharing, healing, and vision carried by African migrants throughout the world. Birnbaum focuses on the long endurance of these values from the first human communities in south and central Africa, ones that Africans manifested in the region of the African mediterranean landmass that later separated Africa from Europe and Asia when the ice melted and waters rose. These migrants reached every continent and later became spiritual as well as geograpical migrations back to Africa, from ancient times to the transformative present. Using the same methods as her teaching, Birnbaum employs a mutual learning process in her work to help us think about our own ancestral story, adding to the wisdom we need to surmount contemporary crises and give us the energy to help bring a more equal and just world into being. Her methodologies are grounded on empirical techniques of science and the social sciences and yet leave openings for the liminal knowledge that resides underneath and beyond boundaries of established religions, secular ideologies, and conventional science. A true work of transformation, The Future has an Ancient Heart opens the door to new possibilities within our world.




Mathematics in Ancient Iraq


Book Description

This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an abstract discipline for elites but a key component in ordering society and understanding the world. The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.




Isaac Newton's Temple of Solomon and his Reconstruction of Sacred Architecture


Book Description

This book is about a side of Isaac Newton’s character that has not been examined – Isaac Newton as architect as demonstrated by his reconstruction of Solomon’s Temple. Although it is well known that Isaac Newton worked on the Temple, and this is mentioned in most of his biographies and in articles on the religious aspects of this work, however, there is no research on Newton’s architectural work. This book not only recreates Newton’s reconstruction of the Temple but it also considers how his work on the Temple interlinks with his other interests of science, chronology, prophecy and theology. In addition the book contains the first translation of Introduction to the Lexicon of the Prophets, Part two: About the appearance of the Jewish Temple commonly known by its call name Babson 0434. This work will appeal not only to scholars of science and architectural history but also to scholars of the seventeenth and eighteenth centuries’ history of ideas.