Mathematics In Architecture Art Nature And Beyond
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Mathematics In Architecture Art Nature And Beyond
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2025-03-07
Mathematics In Architecture Art Nature And Beyond written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-07 with Mathematics categories.
There is little opportunity in classrooms today for teachers to explore the amazing applications of mathematics outside the curriculum. This book is intended to show how mathematics manifests itself in areas that most people are unaware of. One can even revel in the history of how our number system evolved and how that has enabled us to define the beauty in mathematics as well as in art, architecture, nature, and beyond.The first two chapters of this book introduce the Fibonacci numbers and investigate their amazing relationships and applications in our general environment. The following four chapters focus on the Golden Ratio and the Golden Rectangle, exploring how they manifest all around us, often hiding in plain sight: in everything from architectural wonders such as the Taj Mahal to coin design, and from Greek vases to petal formation. We conclude our enjoyable journey through these mathematical wonders by considering conic sections and how they explain many aspects of everyday life, such as radar dishes, headlight reflectors, and whispering halls. This exposure to aspects of mathematics that are usually bypassed in the school curriculum will provide high school students, teachers, and general readers with an opportunity to truly appreciate the power and beauty of mathematics.
Mathematics The Quest For Truth And Beauty
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Author : James D Stein
language : en
Publisher: World Scientific
Release Date : 2025-04-29
Mathematics The Quest For Truth And Beauty written by James D Stein and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-29 with Mathematics categories.
This book tells the stories of some of the great quests of mathematics, such as the centuries-long pursuit for the proof of Fermat's Last Theorem. These quests are searches for difficult-to-discover universal truths, pursued with passion not only by mathematicians and scientists, but by kings, emperors and even Jean-Luc Picard, the captain of Star Trek's Starship Enterprise. Some of their exploits are adventures as fascinating as any historical or current-day drama. The truths they have discovered help us understand not only mathematics, but also the Universe — and sometimes, ourselves.In addition to well-known quests such as Fermat's Last Theorem and the Goldbach Conjecture, some of the chapters describe more recent pursuits such as the Traveling Salesman Problem and the Multi-armed Bandit Problem. While some of the quests have been completed, others are still ongoing, and one (the Six Squares Problem) can be understood — and maybe even solved — by a five-year-old child.
Fun Math Problem Solving Beyond The Classroom
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2025-05-05
Fun Math Problem Solving Beyond The Classroom written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-05 with Mathematics categories.
This book offers high school teachers and students a broad and engaging look at an often-maligned subject — mathematics. Expanding beyond strictly defined curriculums, Fun Math: Problem Solving Beyond the Classroom explores additional topics that can inspire and motivate students to better appreciate the importance and beauty of mathematics.The first four chapters present novel examples in four integral areas of the mathematics curriculum, namely arithmetic, logic, algebra, and geometry. The last two chapters expose readers to topics in algebra and geometry that have been neglected at the secondary school level. Throughout the book, the focus is on introducing problem-solving techniques that will be useful in everyday life. With over 300 problems and carefully worked solutions, the book aims to foster a greater appreciation for mathematics through an exploration of useful and fascinating topics rarely addressed in the classroom. In other words, you can have fun with mathematics!
Geometric Foundations Of Design Old And New
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Author : Jay Kappraff
language : en
Publisher: World Scientific
Release Date : 2021-03-05
Geometric Foundations Of Design Old And New written by Jay Kappraff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-05 with Design categories.
This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs.
New Mathematics Of Architecture
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Author : Jane Burry
language : en
Publisher: National Geographic Books
Release Date : 2012-03-27
New Mathematics Of Architecture written by Jane Burry and has been published by National Geographic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-27 with Architecture categories.
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.
Architecture And Mathematics From Antiquity To The Future
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Author : Kim Williams
language : en
Publisher: Birkhäuser
Release Date : 2015-02-09
Architecture And Mathematics From Antiquity To The Future written by Kim Williams and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-09 with Mathematics categories.
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.
Computational Solutions For Knowledge Art And Entertainment Information Exchange Beyond Text
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Author : Ursyn, Anna
language : en
Publisher: IGI Global
Release Date : 2013-10-31
Computational Solutions For Knowledge Art And Entertainment Information Exchange Beyond Text written by Ursyn, Anna and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-31 with Computers categories.
As interactive application software such as apps, installations, and multimedia presentations have become pervasive in everyday life, more and more computer scientists, engineers, and technology experts acknowledge the influence that exists beyond visual explanations. Computational Solutions for Knowledge, Art, and Entertainment: Information Exchange Beyond Text focuses on the methods of depicting knowledge-based concepts in order to assert power beyond a visual explanation of scientific and computational notions. This book combines formal descriptions with graphical presentations and encourages readers to interact by creating visual solutions for science-related concepts and presenting data. This reference is essential for researchers, computer scientists, and academics focusing on the integration of science, technology, computing, art, and mathematics for visual problem solving.
The World Of Geometry Unleashed A Journey Through Lines And Beyond
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
The World Of Geometry Unleashed A Journey Through Lines And Beyond written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Embark on a geometric odyssey with The World of Geometry Unleashed: A Journey Through Lines and Beyond, a comprehensive guide to the captivating world of geometry. This book is an invitation to explore the fundamental principles, intriguing concepts, and practical applications of geometry, unveiling its profound beauty and unlocking its secrets. Within these pages, you will journey through the realm of geometric shapes, from simple lines and angles to complex polygons and three-dimensional solids. Discover the intricacies of angles, their measurements, and their relationships, delving into the mysteries of acute, obtuse, and right angles, as well as complementary and supplementary angles. Unravel the art of geometric transformations, including translations, rotations, reflections, and dilations, gaining the power to manipulate and change shapes, creating intricate patterns, mesmerizing designs, and mind-bending illusions. Explore the dynamic world of three-dimensional geometry, where you will encounter prisms, pyramids, cylinders, cones, and spheres, understanding their properties and unlocking their hidden symmetries. But geometry is not merely a collection of abstract concepts; it is a powerful tool that has shaped human history and continues to impact our lives today. The World of Geometry Unleashed: A Journey Through Lines and Beyond delves into the practical applications of geometry, showcasing its role in architecture, engineering, art, design, and everyday life. Learn how geometry has influenced everything from the design of ancient temples to the construction of modern skyscrapers, from the creation of beautiful paintings to the development of complex machines. More than just a textbook, The World of Geometry Unleashed: A Journey Through Lines and Beyond is an engaging and accessible guide that brings geometry to life. With clear explanations, captivating illustrations, and thought-provoking exercises, this book is perfect for students, educators, hobbyists, and anyone with a passion for geometry. Whether you are a novice seeking to unravel the mysteries of geometry or an experienced enthusiast seeking to deepen your understanding, The World of Geometry Unleashed: A Journey Through Lines and Beyond is your ultimate companion. Immerse yourself in the world of geometry and discover the beauty, power, and elegance that lie within its intricate patterns and harmonious forms. If you like this book, write a review!
The Art Of Building In The Classical World
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Author : John R. Senseney
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-14
The Art Of Building In The Classical World written by John R. Senseney and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-14 with Art categories.
This book examines the application of drawing in the design process of classical architecture, exploring how the tools and techniques of drawing developed for architecture subsequently shaped theories of vision and representations of the universe in science and philosophy. Building on recent scholarship that examines and reconstructs the design process of classical architecture, John R. Senseney focuses on technical drawing in the building trade as a model for the expression of visual order, showing that the techniques of ancient Greek drawing actively determined concepts about the world. He argues that the uniquely Greek innovations of graphic construction determined principles that shaped the massing, special qualities and refinements of buildings and the manner in which order itself was envisioned.
Sacred Mathematics
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Author : Hidetoshi Fukagawa
language : en
Publisher: Princeton University Press
Release Date : 2008
Sacred Mathematics written by Hidetoshi Fukagawa and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Art categories.
Between the seventeenth and nineteenth centuries Japan was totally isolated from the West by imperial decree. During that time, a unique brand of homegrown mathematics flourished, one that was completely uninfluenced by developments in Western mathematics. People from all walks of life--samurai, farmers, and merchants--inscribed a wide variety of geometry problems on wooden tablets called sangaku and hung them in Buddhist temples and Shinto shrines throughout Japan. Sacred Mathematics is the first book published in the West to fully examine this tantalizing--and incredibly beautiful--mathematical tradition. Fukagawa Hidetoshi and Tony Rothman present for the first time in English excerpts from the travel diary of a nineteenth-century Japanese mathematician, Yamaguchi Kanzan, who journeyed on foot throughout Japan to collect temple geometry problems. The authors set this fascinating travel narrative--and almost everything else that is known about temple geometry--within the broader cultural and historical context of the period. They explain the sacred and devotional aspects of sangaku, and reveal how Japanese folk mathematicians discovered many well-known theorems independently of mathematicians in the West--and in some cases much earlier. The book is generously illustrated with photographs of the tablets and stunning artwork of the period. Then there are the geometry problems themselves, nearly two hundred of them, fully illustrated and ranging from the utterly simple to the virtually impossible. Solutions for most are provided. A unique book in every respect, Sacred Mathematics demonstrates how mathematical thinking can vary by culture yet transcend cultural and geographic boundaries.