Polyhedra Primer
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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.
Primer For Point And Space Groups
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Author : Richard Liboff
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Primer For Point And Space Groups written by Richard Liboff 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 2012-12-06 with Science categories.
Written in the spirit of Liboff's acclaimed text on Quantum Mechanics, this introduction to group theory offers an exceptionally clear presentation with a good sense of what to explain, which examples are most appropriate, and when to give a counter-example.
Divided Spheres
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Author : Edward S. Popko
language : en
Publisher: CRC Press
Release Date : 2012-07-30
Divided Spheres written by Edward S. Popko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-30 with Mathematics categories.
This well-illustrated book—in color throughout—presents a thorough introduction to the mathematics of Buckminster Fuller’s invention of the geodesic dome, which paved the way for a flood of practical applications as diverse as weather forecasting and fish farms. The author explains the principles of spherical design and the three main categories of subdivision based on geometric solids (polyhedra). He illustrates how basic and advanced CAD techniques apply to spherical subdivision and covers modern applications in product design, engineering, science, games, and sports balls.
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.
An Optimization Primer
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Author : Johannes O. Royset
language : en
Publisher: Springer Nature
Release Date : 2022-03-28
An Optimization Primer written by Johannes O. Royset and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-28 with Mathematics categories.
This richly illustrated book introduces the subject of optimization to a broad audience with a balanced treatment of theory, models and algorithms. Through numerous examples from statistical learning, operations research, engineering, finance and economics, the text explains how to formulate and justify models while accounting for real-world considerations such as data uncertainty. It goes beyond the classical topics of linear, nonlinear and convex programming and deals with nonconvex and nonsmooth problems as well as games, generalized equations and stochastic optimization. The book teaches theoretical aspects in the context of concrete problems, which makes it an accessible onramp to variational analysis, integral functions and approximation theory. More than 100 exercises and 200 fully developed examples illustrate the application of the concepts. Readers should have some foundation in differential calculus and linear algebra. Exposure to real analysis would be helpful but is not prerequisite.
Primer Of Modern Analysis
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Author : K.T. Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Primer Of Modern Analysis written by K.T. Smith 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 2012-12-06 with Mathematics categories.
This book discusses some of the first principles of modern analysis. I t can be used for courses at several levels, depending upon the background and ability of the students. It was written on the premise that today's good students have unexpected enthusiasm and nerve. When hard work is put to them, they work harder and ask for more. The honors course (at the University of Wisconsin) which inspired this book was, I think, more fun than the book itself. And better. But then there is acting in teaching, and a typewriter is a poor substitute for an audience. The spontaneous, creative disorder that characterizes an exciting course becomes silly in a book. To write, one must cut and dry. Yet, I hope enough of the spontaneity, enough of the spirit of that course, is left to enable those using the book to create exciting courses of their own. Exercises in this book are not designed for drill. They are designed to clarify the meanings of the theorems, to force an understanding of the proofs, and to call attention to points in a proof that might otherwise be overlooked. The exercises, therefore, are a real part of the theory, not a collection of side issues, and as such nearly all of them are to be done. Some drill is, of course, necessary, particularly in the calculation of integrals.
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.
Investigating Polygons And Polyhedra With Googolplex
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Author : Allen W. Banbury
language : en
Publisher:
Release Date : 1988
Investigating Polygons And Polyhedra With Googolplex written by Allen W. Banbury and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Geometry categories.
Explains how to use this toy in the classroom to teach basic geometry concepts to students in grades K-6.
Explorations In Topology
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Author : David Gay
language : en
Publisher: Elsevier
Release Date : 2013-12-04
Explorations In Topology written by David Gay and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-04 with Mathematics categories.
Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses. The book's innovative story-line style models the problem-solving process, presents the development of concepts in a natural way, and engages students in meaningful encounters with the material. The updated end-of-chapter investigations provide opportunities to work on many open-ended, non-routine problems and, through a modified "Moore method," to make conjectures from which theorems emerge. The revised end-of-chapter notes provide historical background to the chapter's ideas, introduce standard terminology, and make connections with mainstream mathematics. The final chapter of projects provides ideas for continued research. Explorations in Topology, Second Edition, enhances upper division courses and is a valuable reference for all levels of students and researchers working in topology. Students begin to solve substantial problems from the start Ideas unfold through the context of a storyline, and students become actively involved The text models the problem-solving process, presents the development of concepts in a natural way, and helps the reader engage with the material
Discrete Mathematics In The Schools
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Author : Joseph G. Rosenstein
language : en
Publisher: American Mathematical Soc.
Release Date :
Discrete Mathematics In The Schools written by Joseph G. Rosenstein 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 with Mathematics categories.
This book provides teachers of all levels with a great deal of valuable material to help them introduce discrete mathematics into their classrooms.