Polyhedra And Beyond

Author : Vera Viana,Helena Mena Matos,João Pedro Xavier
Publisher : Springer Nature
Page : 166 pages
File Size : 53,7 Mb
Release : 2022-07-09
Category : Mathematics
ISBN : 9783030991166

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Polyhedra and Beyond by Vera Viana,Helena Mena Matos,João Pedro Xavier Pdf

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.

Author : Jean-François Gabriel
Publisher : John Wiley & Sons
Page : 554 pages
File Size : 46,7 Mb
Release : 1997-08-12
Category : Architecture
ISBN : 0471122610

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Beyond the Cube by Jean-François Gabriel Pdf

Diese Sammlung von Beitragen anerkannter Autoren zur Architektur, die uber den Quader hinausgeht, ist das einzige derzeit am Markt befindliche Referenzwerk auf diesem Gebiet. Theoretische und praktische Aspekte der Konstruktion von Vielflachnern und raumlichen Gebilden werden anhand von uber 480 Zeichnungen und zahlreichen Fotographien anschaulich erlautert. (02/98)

Author : Vera Viana,Helena Mena Matos,João Pedro Xavier
Publisher : Unknown
Page : 0 pages
File Size : 50,7 Mb
Release : 2022
Category : Architecture--Mathematics
ISBN : 3030991172

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Polyhedra and Beyond by Vera Viana,Helena Mena Matos,João Pedro Xavier Pdf

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.

Author : R. Bruce King
Publisher : Springer Science & Business Media
Page : 150 pages
File Size : 47,7 Mb
Release : 2009-01-16
Category : Mathematics
ISBN : 9780817648497

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Beyond the Quartic Equation by R. Bruce King Pdf

The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to non-specialists and even to mathematically oriented readers who are not professional mathematicians. The book includes an initial introductory chapter on group theory and symmetry, Galois theory and Tschirnhausen transformations, and some elementary properties of elliptic function in order to make some of the key ideas more accessible to less sophisticated readers. The book also includes a discussion of the much simpler algorithms for roots of the general quadratic, cubic, and quartic equations before discussing the algorithm for the roots of the general quintic equation. A brief discussion of algorithms for roots of general equations of degrees higher than five is also included. "If you want something truly unusual, try [this book] by R. Bruce King, which revives some fascinating, long-lost ideas relating elliptic functions to polynomial equations." --New Scientist

Author : Michela Turrin,Charalampos Andriotis,Azarakhsh Rafiee
Publisher : Springer Nature
Page : 675 pages
File Size : 50,7 Mb
Release : 2023-07-04
Category : Computers
ISBN : 9783031371899

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Computer-Aided Architectural Design. INTERCONNECTIONS: Co-computing Beyond Boundaries by Michela Turrin,Charalampos Andriotis,Azarakhsh Rafiee Pdf

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.

Author : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 46,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9780387226767

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Geometry: Euclid and Beyond by Robin Hartshorne Pdf

This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Author : Frederick H. Young
Publisher : Unknown
Page : 52 pages
File Size : 54,8 Mb
Release : 1961
Category : Algebra
ISBN : STANFORD:36105031261923

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The Nature of the Regular Polyhedra by Frederick H. Young Pdf

Author : Denise H Sutton,Alfred S Posamentier
Publisher : World Scientific
Page : 222 pages
File Size : 48,6 Mb
Release : 2021-01-26
Category : Mathematics
ISBN : 9789811231681

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Innovative Teaching: Best Practices From Business And Beyond For Mathematics Teachers by Denise H Sutton,Alfred S Posamentier Pdf

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.

Author : Vera Viana,Helena Mena Matos,João Pedro Xavier
Publisher : Unknown
Page : 0 pages
File Size : 46,7 Mb
Release : 2022
Category : Architecture
ISBN : 8303099116

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Polyhedra and Beyond by Vera Viana,Helena Mena Matos,João Pedro Xavier Pdf

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.

Author : Vicente Muñoz,Ángel González-Prieto,Juan Ángel Rojo
Publisher : American Mathematical Soc.
Page : 408 pages
File Size : 48,7 Mb
Release : 2020-10-21
Category : Education
ISBN : 9781470461324

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Geometry and Topology of Manifolds: Surfaces and Beyond by Vicente Muñoz,Ángel González-Prieto,Juan Ángel Rojo Pdf

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.

Author : Edward J. Barbeau,Peter J. Taylor
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 49,9 Mb
Release : 2009-04-21
Category : Education
ISBN : 9780387096032

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Challenging Mathematics In and Beyond the Classroom by Edward J. Barbeau,Peter J. Taylor Pdf

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.

Author : Melvin Fitting,Ewa Orlowska
Publisher : Physica
Page : 374 pages
File Size : 45,7 Mb
Release : 2013-06-05
Category : Mathematics
ISBN : 9783790817690

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Beyond Two: Theory and Applications of Multiple-Valued Logic by Melvin Fitting,Ewa Orlowska Pdf

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.

Author : Maryann Wickett,Eunice Hendrix-Martin
Publisher : Stenhouse Publishers
Page : 290 pages
File Size : 48,7 Mb
Release : 2011
Category : Education
ISBN : 9781571108173

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Beyond the Bubble by Maryann Wickett,Eunice Hendrix-Martin Pdf

Multiple-choice testing is an educational reality. Rather than complain about the negative impact these tests may have on teaching and learning, why not use them to better understand your students' true mathematical knowledge and comprehension? Maryann Wickett and Eunice Hendrix-Martin show teachers how to move beyond the student's answer--right or wrong--to uncover understanding and/or misconceptions. By asking a few simple follow-up questions, teachers can learn a great deal about student understanding and make better, more informed instructional decisions. The Beyond the Bubble books (grades 2-3 and grades 4-5) are each divided into five strands--number, measurement, algebra, geometry, and probability--with six problems per strand. Each problem includes an overview of the objective of the test question, a sample question, typical of those found on standardized tests, strategies students employ to solve the problem, conversation starters, student work, student-teacher conversations, and instructional strategies to advance student learning. Teachers will also find suggestions for differentiation, reproducible of sample questions, and a comprehensive list of additional resources. With dozens of sample test questions and numerous student samples, Beyond the Bubble shows educators how to use multiple choice tests to provide more purposeful, focused mathematics instruction for all of their students.

Author : Peter R. Cromwell
Publisher : Cambridge University Press
Page : 498 pages
File Size : 51,5 Mb
Release : 1997
Category : Mathematics
ISBN : 0521664055

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Polyhedra by Peter R. Cromwell Pdf

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.

Author : Tibor Bisztriczky,Peter McMullen,Rolf Schneider,Asia Ivic Weiss
Publisher : Springer Science & Business Media
Page : 515 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401109246

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Polytopes by Tibor Bisztriczky,Peter McMullen,Rolf Schneider,Asia Ivic Weiss Pdf

The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The articles include contributions from many of the leading experts in the field, and their topics of concern are expositions of recent results and in-depth analyses of the development (past and future) of the subject. The subject matter of the book ranges from algorithms for assignment and transportation problems to the introduction of a geometric theory of polyhedra which need not be convex. With polytopes as the main topic of interest, there are articles on realizations, classifications, Eulerian posets, polyhedral subdivisions, generalized stress, the Brunn--Minkowski theory, asymptotic approximations and the computation of volumes and mixed volumes. For researchers in applied and computational convexity, convex geometry and discrete geometry at the graduate and postgraduate levels.