How Surfaces Intersect In Space

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How Surfaces Intersect In Space

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Author : J. Scott Carter
language : en
Publisher: World Scientific
Release Date : 1995

How Surfaces Intersect In Space written by J. Scott Carter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.

This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader. It will be of value to anyone who wants to understand the subject by way of examples. Undergraduates, beginning graduate students, and non-professionals will profit from reading the book and from just looking at the pictures.

How Surfaces Intersect In Space An Introduction To Topology 2nd Edition

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Author : J Scott Carter
language : en
Publisher: World Scientific
Release Date : 1995-05-11

How Surfaces Intersect In Space An Introduction To Topology 2nd Edition written by J Scott Carter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-11 with Mathematics categories.

This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader. The first chapter discusses the meaning of surface and space and gives the classification of orientable surfaces. In the second chapter we are introduced to the Möbius band and surfaces that can be constructed from this non-orientable piece of fabric. In chapter 3, we see how curves can fit in surfaces and how surfaces can fit into spaces with these curves on their boundary. Basic applications to knot theory are discussed and four-dimensional space is introduced.In Chapter 4 we learn about some 3-dimensional spaces and surfaces that sit inside them. These surfaces help us imagine the structures of the larger space.Chapter 5 is completely new! It contains recent results of Cromwell, Izumiya and Marar. One of these results is a formula relating the rank of a surface to the number of triple points. The other major result is a collection of examples of surfaces in 3-space that have one triple point and 6 branch points. These are beautiful generalizations of the Steiner Roman surface.Chapter 6 reviews the movie technique for examining surfaces in 4-dimensional space. Various movies of the Klein bottle are presented, and the Carter-Saito movie move theorem is explained. The author shows us how to turn the 2-sphere inside out by means of these movie moves and this illustration alone is well worth the price of the book!In the last chapter higher dimensional spaces are examined from an elementary point of view.This is a guide book to a wide variety of topics. It will be of value to anyone who wants to understand the subject by way of examples. Undergraduates, beginning graduate students, and non-professionals will profit from reading the book and from just looking at the pictures.

How Surfaces Intersect In Space

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Author : J. Scott Carter
language : en
Publisher:
Release Date : 1995

How Surfaces Intersect In Space written by J. Scott Carter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Topology categories.

This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader. The first chapter discusses the meaning of surface and space and gives the classification of orientable surfaces. In the second chapter we are introduced to the Möbius band and surfaces that can be constructed from this non-orientable piece of fabric. In chapter 3, we see how curves can fit in surfaces and how surfaces can fit into spaces with these curves on their boundary. Basic applications to knot theory are discussed and four-dimensional space is introduced. In Chapter 4 we learn about some 3-dimensional spaces and surfaces that sit inside them. These surfaces help us imagine the structures of the larger space. Chapter 5 is completely new! It contains recent results of Cromwell, Izumiya and Marar. One of these results is a formula relating the rank of a surface to the number of triple points. The other major result is a collection of examples of surfaces in 3-space that have one triple point and 6 branch points. These are beautiful generalizations of the Steiner Roman surface. Chapter 6 reviews the movie technique for examining surfaces in 4-dimensional space. Various movies of the Klein bottle are presented, and the Carter-Saito movie move theorem is explained. The author shows us how to turn the 2-sphere inside out by means of these movie moves and this illustration alone is well worth the price of the book!In the last chapter higher dimensional spaces are examined from an elementary point of view. This is a guide book to a wide variety of topics. It will be of value to anyone who wants to understand the subject by way of examples. Undergraduates, beginning graduate students, and non-professionals will profit from reading the book and from just looking at the pictures.

Mathematics In Postmodern American Fiction

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Author : Stuart J. Taylor
language : en
Publisher: Springer Nature
Release Date : 2024-04-23

Mathematics In Postmodern American Fiction written by Stuart J. Taylor and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-23 with Literary Criticism categories.

This book delivers an innovative critical approach to better understand U.S. fiction of the information age, and argues that in the last eighty years, fiction has become increasingly concerned with its representations of mathematical ideas, images, and practices. In so doing, this book provides a fuller, transnational account of the place of mathematics in understanding mathematically informed novels. Literature and science studies have acknowledged and situated historical points of cultural crossover; by emphasising mathematics within this larger intellectual context – and not as an unlikely and alien adjunct to post-war culture – this monograph clarifies how mathematically informed postmodern fictions work in a cognate fashion to other fields undergoing structuralist revolutions. This is especially evident in fiction by the key, mathematically-literate Postmodern authors upon whom this study focuses, namely, Thomas Pynchon, Don DeLillo, and David Foster Wallace, through which recent the technological revolutions, facilitated by mathematics, manifest in cultural discourse.

Digital Signifiers In An Architecture Of Information

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Author : Pablo Lorenzo-Eiroa
language : en
Publisher: Taylor & Francis
Release Date : 2023-05-31

Digital Signifiers In An Architecture Of Information written by Pablo Lorenzo-Eiroa and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Architecture categories.

This book proposes a new critical relationship between computation and architecture, developing a history and theory of representation in architecture to understand and unleash potential means to open up creativity in the field. Historically, architecture has led to spatial representation. Today, computation has established new representational paradigms that can be compared to spatial representations, such as the revolution of perspective in the Renaissance. Architects now use software, robotics, and fabrication tools with very little understanding and participation in how these tools influence, revolutionize, and determine both architecture and its construction today. Why does the discipline of architecture not have a higher degree of authorship in the conception and development of computational technologies that define spatial representation? This book critically explores the relationship between history, theory, and cultural criticism. Lorenzo-Eiroa positions new understandings through parallel historical sections and theories of many revolutionary representational architecture canons displaced by conventional spatial projection. He identifies the architects, artists, mathematicians, and philosophers that were able to revolutionize their disciplines through the development of new technologies, new systems of representation, and new lenses to understand reality. This book frames the discussion by addressing new means to understand and expand architecture authorship in relation to the survey, information, representation, higher dimensional space, Big Data, and Artificial Intelligence – in the pursuit of activating an architecture of information. This will be important reading for upper-level students and researchers of architecture and architectural theory, especially those with a keen interest in computational design and robotic fabrication.

Real Time Object Measurement And Classification

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Author : Anil K. Jain
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Real Time Object Measurement And Classification written by Anil K. Jain 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 Computers categories.

This book contains papers presented at the NATO Advanced Research Workshop on "Real-time Object and Environment Measurement and Classification" held in Hotel Villa del Mare, Maratea, Italy, August 31 - September 3, 1987. This workshop was organized under the NATO Special Programme on Sensory Systems for Robotic Control. Professor Eric Backer, Delft University of Technology, The Netherlands and Professor Erdal Panayirci, Technical University of Istanbul, Turkey were the members of the organizing committee for this workshop. There were four major themes of this workshop: Real-time Requirements, Feature Measurement, Object Representation and Recognition, and Architecture for Measurement and Classification. A total of twenty-five technical presentations were made. These talks covered a wide spectrum of topics including hardware implementation of specific vision algorithms, a complete vision system for object tracking and inspection, using three cameras (trinocular stereo) for feature measurement, neural network for object recognition, integration of CAD (Computer-Aided Design) and vision systems, and the use of pyramid architectures for solving varioos computer vision problems.

Selective Laser Sintering Additive Manufacturing Technology

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Author : Chunze Yan
language : en
Publisher: Academic Press
Release Date : 2020-11-20

Selective Laser Sintering Additive Manufacturing Technology written by Chunze Yan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-20 with Technology & Engineering categories.

Selective Laser Sintering Additive Manufacturing Technology is a unique and comprehensive guide to this emerging technology. It covers in detail the equipment, software algorithms and control systems, material preparations and process technology, precision control, simulation analysis, and provides examples of applications of selective laser sintering (SLS). SLS technology is one of the most promising advances in 3D printing due to the high complexity of parts it can form, short manufacturing cycle, low cost, and wide range of materials it is compatible with. Typical examples of SLS technology include SLS manufacturing casting molds, sand molds (core), injection molds with conformal cooling channels, and rapid prototyping of ceramic and plastic functional parts. It is already widely used in aviation, aerospace, medical treatment, machinery, and numerous other industries. Drawing on world-leading research, the authors provide state of the art descriptions of the technologies, tools, and techniques which are helping academics and engineers use SLS ever more effectively and widely. - Provides instructions for how to accurately use SLS for forming - Analyses the numerical simulation methods for key SLS technologies - Addresses the use of SLS for a range of materials, including polymer, ceramic and coated sand powder

The Facts In Logical Space

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Author : Jason Turner
language : en
Publisher: Oxford University Press
Release Date : 2016-02-04

The Facts In Logical Space written by Jason Turner and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-04 with Philosophy categories.

Philosophers have long been tempted by the idea that objects and properties are abstractions from the facts. But how is this abstraction supposed to go? If the objects and properties aren't 'already' there, how do the facts give rise to them? Jason Turner develops and defends a novel answer to this question: The facts are arranged in a quasi-geometric 'logical space', and objects and properties arise from different quasi-geometric structures in this space.

Nonlinear Dynamics And Chaos

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Author : J. M. T. Thompson
language : en
Publisher: John Wiley & Sons
Release Date : 2002-02-15

Nonlinear Dynamics And Chaos written by J. M. T. Thompson 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 2002-02-15 with Science categories.

Nonlinear dynamics and chaos involves the study of apparent random happenings within a system or process. The subject has wide applications within mathematics, engineering, physics and other physical sciences. Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos. Expands on the bestselling, highly regarded first edition A new chapter which will cover the new research in the area since first edition Glossary of terms and a bibliography have been added All figures and illustrations will be 'modernised' Comprehensive and systematic account of nonlinear dynamics and chaos, still a fast-growing area of applied mathematics Highly illustrated Excellent introductory text, can be used for an advanced undergraduate/graduate course text

Thermodynamics In Geochemistry

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Author : Greg M. Anderson
language : en
Publisher: Oxford University Press
Release Date : 1993-06-17

Thermodynamics In Geochemistry written by Greg M. Anderson and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-17 with Science categories.

This textbook and reference outlines the fundamental principles of thermodynamics, emphasizing applications in geochemistry. The work is distinguished by its comprehensive, balanced coverage and its rigorous presentation. The authors bring years of teaching experience to the work, and have attempted to particularly address those areas where other texts on the subject have provided inadequate coverage. A thorough review of the necessary mathematics is presented early on, both as a refresher for those with a background in university calculus, and for the benefit of those coming to the subject for the first time. The text is written for students in advanced undergraduate or graduate-level geochemistry as well as for all researchers in this field.