Polyhedra And Beyond

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Polyhedra And Beyond

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Author : Vera Viana
language : en
Publisher: Springer Nature
Release Date : 2022-07-09

Polyhedra And Beyond written by Vera Viana and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-09 with Mathematics categories.

This volume collects papers based on talks given at the conference “Geometrias'19: Polyhedra and Beyond”, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal. These papers explore the conference’s theme from an interdisciplinary standpoint, all the while emphasizing the relevance of polyhedral geometry in contemporary academic research and professional practice. They also investigate how this topic connects to mathematics, art, architecture, computer science, and the science of representation. Polyhedra and Beyond will help inspire scholars, researchers, professionals, and students of any of these disciplines to develop a more thorough understanding of polyhedra.

Beyond The Cube

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Author : Jean-François Gabriel
language : en
Publisher: John Wiley & Sons
Release Date : 1997-08-12

Beyond The Cube written by Jean-François Gabriel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-12 with Architecture categories.

This book offers an in-depth look at space frame architecture, including space frame projects completed by such notable architects as I. M. Pei, Buckminster Fuller, Philip Johnson and Louis Kahn. Both theory and practice are included to offer a comprehensive overview of the history, current use, and future outlook for creating space frame structures. The 15 distinguised contributors to this book have extensive background in the architecture of space frames and offer an international perspective on the subject. The text is illustrated with hundreds of line drawings, black-and-white photos, and an eight-page color insert.

Polyhedra

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Author : Peter R. Cromwell
language : en
Publisher: Cambridge University Press
Release Date : 1997

Polyhedra written by Peter R. Cromwell 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 1997 with Mathematics categories.

Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics an d group theory. This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra, and presenting a rigorous treatment of the mathematics involved. It is attractively illustrated with dozens of diagrams to illustrate ideas that might otherwise prove difficult to grasp. Historians of mathematics, as well as those more interested in the mathematics itself, will find this unique book fascinating.

Computer Aided Architectural Design Interconnections Co Computing Beyond Boundaries

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Author : Michela Turrin
language : en
Publisher: Springer Nature
Release Date : 2023-07-04

Computer Aided Architectural Design Interconnections Co Computing Beyond Boundaries written by Michela Turrin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-04 with Computers categories.

This book includes the refereed Selected Papers of the 20th International Conference on Computer-Aided Architectural Design. INTERCONNECTIONS: Co-computing Beyond Boundaries, CAAD Futures 2023, held in Delft, The Netherlands, in July 5–7, 2023. The 43 full papers included in this book were carefully reviewed and selected from 144 submissions. They were organized in topical sections as follows: ​algorithmic architectural design; AI-powered architectural ideation; performance-based design, urban models and analysis; urban design; digital design, materials and fabrication; spatial information, data and semantics; building data analysis, visualisation, interaction; and building massing and layouts.

Geometry Euclid And Beyond

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Author : Robin Hartshorne
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Geometry Euclid And Beyond written by Robin Hartshorne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's axioms. The Cartesian plane over a field provides an analytic model of the theory, and conversely, we see that one can introduce coordinates into an abstract geometry. The theory of area is analyzed by cutting figures into triangles. The algebra of field extensions provides a method for deciding which geometrical constructions are possible. The investigation of the parallel postulate leads to the various non-Euclidean geometries. And in the last chapter we provide what is missing from Euclid's treatment of the five Platonic solids in Book XIII of the Elements. For a one-semester course such as I teach, Chapters 1 and 2 form the core material, which takes six to eight weeks.

Innovative Teaching Best Practices From Business And Beyond For Mathematics Teachers

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Author : Denise H Sutton
language : en
Publisher: World Scientific
Release Date : 2021-01-26

Innovative Teaching Best Practices From Business And Beyond For Mathematics Teachers written by Denise H Sutton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-26 with Mathematics categories.

Innovative Teaching: Best Practices from Business and Beyond for Mathematics Teachers provides educators with new and exciting ways to introduce material and methods to motivate and engage students by showing how some of the techniques commonly used in the business world — and beyond — are applicable to the world of education. It also offers educators practical advice with regard to the changing culture of education, keeping up with technology, navigating politics at work, interacting with colleagues, developing leadership skills, group behavior, and gender differences.Innovative Teaching demonstrates how the classroom environment is similar to the marketplace. Educators, like businesses, for example, must capture and hold the attention of their audience while competing with a constant stream of 'noise.' With the introduction of the Internet and the wide use of social media, promoters understand that they must not only engage their audience, but also incorporate audience feedback into the promotional work and product or service they offer. Innovative Teaching shows educators how to take the best practices from business — and beyond — and recombine these resources for appropriate use in the classroom.

Geometry And Topology Of Manifolds Surfaces And Beyond

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Author : Vicente Muñoz
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-10-21

Geometry And Topology Of Manifolds Surfaces And Beyond written by Vicente Muñoz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-21 with Education categories.

This book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal. Each chapter briefly revisits basic results usually known to graduate students from an alternative perspective, focusing on surfaces. We provide full proofs of some remarkable results that sometimes are missed in basic courses (e.g., the construction of triangulations on surfaces, the classification of surfaces, the Gauss-Bonnet theorem, the degree-genus formula for complex plane curves, the existence of constant curvature metrics on conformal surfaces), and we give hints to questions about higher dimensional manifolds. Many examples and remarks are scattered through the book. Each chapter ends with an exhaustive collection of problems and a list of topics for further study. The book is primarily addressed to graduate students who did take standard introductory courses on algebraic topology, differential and Riemannian geometry, or algebraic geometry, but have not seen their deep interconnections, which permeate a modern approach to geometry and topology of manifolds.

Challenging Mathematics In And Beyond The Classroom

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Author : Edward J. Barbeau
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-21

Challenging Mathematics In And Beyond The Classroom written by Edward J. Barbeau and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-21 with Education categories.

In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.

Exploring Polyhedrons A Journey Into Geometric Wonders

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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-08

Exploring Polyhedrons A Journey Into Geometric Wonders 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 2025-03-08 with Mathematics categories.

Embark on a captivating journey into the realm of polyhedrons—three-dimensional shapes that have captivated mathematicians, artists, and scientists for centuries. This comprehensive book unveils the fascinating world of polyhedrons, exploring their diverse forms, intricate properties, and multifaceted applications. Delve into the history of polyhedrons, tracing their origins from ancient civilizations to modern discoveries. Discover the Platonic solids, the five regular polyhedrons that have intrigued minds for millennia. Explore the vast array of other polyhedrons, including prisms, pyramids, and stellated forms, each with its unique characteristics and captivating beauty. Unravel the mathematical underpinnings of polyhedrons, delving into their geometric properties, topological relationships, and numerical patterns. Investigate Euler's formula, a cornerstone of polyhedral geometry, and uncover the hidden symmetries and regularities that govern these shapes. Witness the practical applications of polyhedrons across various disciplines. From architecture and engineering to chemistry and biology, polyhedrons serve as fundamental building blocks, inspiring innovative designs and enhancing our understanding of the natural world. Discover how polyhedrons have shaped our world, from the pyramids of ancient Egypt to the cutting-edge materials of modern technology. Explore the cultural and artistic significance of polyhedrons. Throughout history, artists and designers have drawn inspiration from these geometric marvels, incorporating them into sculptures, paintings, and architectural masterpieces. Uncover the symbolism and hidden meanings associated with polyhedrons, revealing their profound impact on human thought and creativity. This book is an invitation to embark on an intellectual adventure, unlocking the secrets of polyhedrons and appreciating their enduring impact on science, art, and culture. With clear explanations, captivating illustrations, and engaging anecdotes, this book is accessible to readers of all backgrounds, promising an enlightening and enjoyable journey into the world of polyhedrons. If you like this book, write a review!

Beyond Two Theory And Applications Of Multiple Valued Logic

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Author : Melvin Fitting
language : en
Publisher: Physica
Release Date : 2013-06-05

Beyond Two Theory And Applications Of Multiple Valued Logic written by Melvin Fitting and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Computers categories.

This volume represents the state of the art for much current research in many-valued logics. Primary researchers in the field are among the authors. Major methodological issues of many-valued logics are treated, as well as applications of many-valued logics to reasoning with fuzzy information. Areas covered include: Algebras of multiple valued logics and their applications, proof theory and automated deduction in multiple valued logics, fuzzy logics and their applications, and multiple valued logics for control theory and rational belief.