Polyhedra
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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.
Polyhedra
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Author : Anthony Pugh
language : en
Publisher: Univ of California Press
Release Date : 1976
Polyhedra written by Anthony Pugh and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
Convex Polyhedra
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Author : A.D. Alexandrov
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-08
Convex Polyhedra written by A.D. Alexandrov 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 2005-12-08 with Mathematics categories.
This classic geometry text explores the theory of 3-dimensional convex polyhedra in a unique fashion, with exceptional detail. Vital and clearly written, the book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. This edition includes a comprehensive bibliography by V.A. Zalgaller, and related papers as supplements to the original text.
Shaping Space
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Author : Marjorie Senechal
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-22
Shaping Space written by Marjorie Senechal 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 2013-03-22 with Mathematics categories.
This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels—in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.
Stratified Polyhedra
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Author : David A. Stone
language : en
Publisher: Springer
Release Date : 2006-11-15
Stratified Polyhedra written by David A. Stone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The original block bundle theory of Rourke and Sanderson was concerned with normal block bundles of submanifolds of a manifold. This treatise produces and examines, in some depth, a block bundle theory for a polyhedron in a polyhedron, in which the fibre is permitted to be an arbitrary cone rather than just a disc. The text begins with "Definitions'', followed by chapters establishing the existence and uniqueness of the new bundle structures. This is developed along lines now somewhat traditional amongst bundle-theorists, first pioneered by Thom in the smooth category. A block-transversality theorem is proved, pull-backs and classifying spaces are introduced, and there is a "Thom theorem'' linking cobordism theory with homotopy groups. Here the cobordism theory concerns all polyhedra with links of points in a certain fixed class. The text is a scholarly essay in piecewise linear topology of great generality.
Integer Points In Polyhedra
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Author : Alexander Barvinok
language : en
Publisher: European Mathematical Society
Release Date : 2008
Integer Points In Polyhedra written by Alexander Barvinok and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This is a self-contained exposition of several core aspects of the theory of rational polyhedra with a view towards algorithmic applications to efficient counting of integer points, a problem arising in many areas of pure and applied mathematics. The approach is based on the consistent development and application of the apparatus of generating functions and the algebra of polyhedra. Topics range from classical, such as the Euler characteristic, continued fractions, Ehrhart polynomial, Minkowski Convex Body Theorem, and the Lenstra-Lenstra-Lovasz lattice reduction algorithm, to recent advances such as the Berline-Vergne local formula. The text is intended for graduate students and researchers. Prerequisites are a modest background in linear algebra and analysis as well as some general mathematical maturity. Numerous figures, exercises of varying degree of difficulty as well as references to the literature and publicly available software make the text suitable for a graduate course.
Convex Polyhedra With Regularity Conditions And Hilbert S Third Problem
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Author : A. R. Rajwade
language : en
Publisher: Springer
Release Date : 2001-01-01
Convex Polyhedra With Regularity Conditions And Hilbert S Third Problem written by A. R. Rajwade and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.
Newton Polyhedra Without Coordinates Newton Polyhedra Of Ideals
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Author : Boris Youssin
language : en
Publisher: American Mathematical Soc.
Release Date : 1990
Newton Polyhedra Without Coordinates Newton Polyhedra Of Ideals written by Boris Youssin 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 1990 with Mathematics categories.
This book creates a commutative algebra background for explicit and canonical resolution of singularities of algebraic varieties. The author's construction provides a coordinate-free definition of some Newton polyhedra related to a germ of functions or an ideal. In addition, the construction is significant as a step toward an explicit and canonical resolution of singularities in characteristic zero. The book is intended for researchers in algebraic geometry and commutative algebra.
A Geometric Analysis Of The Platonic Solids And Other Semi Regular Polyhedra
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Author : Kenneth J. M. MacLean
language : en
Publisher: Loving Healing Press
Release Date : 2007-01-01
A Geometric Analysis Of The Platonic Solids And Other Semi Regular Polyhedra written by Kenneth J. M. MacLean and has been published by Loving Healing Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
This book contains a meticulous geometric investigation of the five Platonic Solids and five other important polyhedra, as well as reference charts for each solid. (Mathematics)
Polyhedra Primer
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Author : Peter Pearce
language : en
Publisher: Van Nostrand Reinhold Company
Release Date : 1978
Polyhedra Primer written by Peter Pearce and has been published by Van Nostrand Reinhold Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
Here is a lucid, thoughtful guide to understanding the structure and organization of three-dimensional space. In 250 captioned drawings this book brilliantly communicates the beauty and geometry of polyhedra. Beginning with polygons and tessellations, it proceeds in a logical sequence to finite polyhedra, dual polyhedra, space filling, and open packings. Important considerations of symmetry, periodic and uniform patterns, and regular and semi-regular forms are presented. Because the understanding of polyhedra is enhanced by the manipulation of models, a chapter of both two- and three-dimensional constructions is included.