A Topology Of Mind PDF Download
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| Author | : Robert K. Logan |
| Publisher | : Springer Nature |
| Total Pages | : 255 |
| Release | : 2022-05-06 |
| Genre | : Mathematics |
| ISBN | : 3030964361 |
Download A Topology of Mind Book in PDF, ePub and Kindle
This volume covers many diverse topics related in varying degrees to mathematics in mind including the mathematical and topological structures of thought and communication. It examines mathematics in mind from the perspective of the spiral, cyclic and hyperlinked structures of the human mind in terms of its language, its thoughts and its various modes of communication in science, philosophy, literature and the arts including a chapter devoted to the spiral structure of the thought of Marshall McLuhan. In it, the authors examine the topological structures of hypertext, hyperlinking, and hypermedia made possible by the Internet and the hyperlinked structures that existed before its emergence. It also explores the cognitive origins of mathematical thinking of the human mind and its relation to the emergence of spoken language, and studies the emergence of mathematical notation and its impact on education. Topics addressed include: • The historical context of any topic that involves how mathematical thinking emerged, focusing on archaeological and philological evidence. • Connection between math cognition and symbolism, annotation and other semiotic processes. • Interrelationships between mathematical discovery and cultural processes, including technological systems that guide the thrust of cognitive and social evolution. • Whether mathematics is an innate faculty or forged in cultural-historical context • What, if any, structures are shared between mathematics and language
| Author | : Marcel Danesi |
| Publisher | : Springer Nature |
| Total Pages | : 344 |
| Release | : 2019-09-14 |
| Genre | : Mathematics |
| ISBN | : 3030225372 |
Download Interdisciplinary Perspectives on Math Cognition Book in PDF, ePub and Kindle
This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.
| Author | : Steven M. Rosen |
| Publisher | : Ohio University Press |
| Total Pages | : 361 |
| Release | : 2006 |
| Genre | : Philosophy |
| ISBN | : 0821416766 |
Download Topologies of the Flesh Book in PDF, ePub and Kindle
This is an unprecedented marriage of topology (a branch of mathematics dealing with the properties of geometric figures that stay the same when the figures are distorted) and phenomenology. Through his unique application of qualitative mathematics, Rosen offers a detailed exploration of previously uncharted dimensions of human experience and the natural world.
| Author | : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 432 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821886250 |
Download Elementary Topology Book in PDF, ePub and Kindle
This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.
| Author | : Edward Rothstein |
| Publisher | : |
| Total Pages | : 263 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 9780812727470 |
Download Emblems of Mind Book in PDF, ePub and Kindle
| Author | : George K. Francis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 211 |
| Release | : 2013-03-19 |
| Genre | : Mathematics |
| ISBN | : 0387681205 |
Download A Topological Picturebook Book in PDF, ePub and Kindle
Praise for George Francis's A Topological Picturebook: Bravo to Springer for reissuing this unique and beautiful book! It not only reminds the older generation of the pleasures of doing mathematics by hand, but also shows the new generation what ``hands on'' really means. - John Stillwell, University of San Francisco The Topological Picturebook has taught a whole generation of mathematicians to draw, to see, and to think. - Tony Robbin, artist and author of Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought The classic reference for how to present topological information visually, full of amazing hand-drawn pictures of complicated surfaces. - John Sullivan, Technische Universitat Berlin A Topological Picturebook lets students see topology as the original discoverers conceived it: concrete and visual, free of the formalism that burdens conventional textbooks. - Jeffrey Weeks, author of The Shape of Space A Topological Picturebook is a visual feast for anyone concerned with mathematical images. Francis provides exquisite examples to build one's "visualization muscles". At the same time, he explains the underlying principles and design techniques for readers to create their own lucid drawings. - George W. Hart, Stony Brook University In this collection of narrative gems and intriguing hand-drawn pictures, George Francis demonstrates the chicken-and-egg relationship, in mathematics, of image and text. Since the book was first published, the case for pictures in mathematics has been won, and now it is time to reflect on their meaning. A Topological Picturebook remains indispensable. - Marjorie Senechal, Smith College and co-editor of the Mathematical Intelligencer
| Author | : C. Wayne Patty |
| Publisher | : Jones & Bartlett Learning |
| Total Pages | : 398 |
| Release | : 2009 |
| Genre | : Computers |
| ISBN | : 0763742341 |
Download Foundations of Topology Book in PDF, ePub and Kindle
Topology is a branch of pure mathematics that deals with the abstract relationships found in geometry and analysis. Written with the mature student in mind, Foundations of Topology, Second Edition, provides a user-friendly, clear, and concise introduction to this fascinating area of mathematics. The author introduces topics that are well motivated with thorough proofs that make them easy to follow. Historical comments are dispersed throughout the text, and exercises, varying in degree of difficulty, are found at the end of each chapter. Foundations of Topology is an excellent text for teaching students how to develop the skill to write clear and precise proofs.
| Author | : Georges Teyssot |
| Publisher | : MIT Press |
| Total Pages | : 361 |
| Release | : 2013-02-22 |
| Genre | : Architecture |
| ISBN | : 0262518325 |
Download A Topology of Everyday Constellations Book in PDF, ePub and Kindle
The threshold as both boundary and bridge: investigations of spaces, public and private, local and global. Today, spaces no longer represent a bourgeois haven; nor are they the sites of a classical harmony between work and leisure, private and public, the local and the global. The house is not merely a home but a position for negotiations with multiple spheres—the technological as well as the physical and the psychological. In A Topology of Everyday Constellations, Georges Teyssot considers the intrusion of the public sphere into private space, and the blurring of notions of interior, privacy, and intimacy in our societies. He proposes that we rethink design in terms of a new definition of the practices of everyday life. Teyssot considers the door, the window, the mirror, and the screen as thresholds or interstitial spaces that divide the world in two: the outside and the inside. Thresholds, he suggests, work both as markers of boundaries and as bridges to the exterior. The stark choice between boundary and bridge creates a middle space, an in-between that holds the possibility of exchanges and encounters. If the threshold no longer separates public from private, and if we can no longer think of the house as a bastion of privacy, Teyssot asks, does the body still inhabit the house—or does the house, evolving into a series of microdevices, inhabit the body?
| Author | : Stefan Behrens |
| Publisher | : Oxford University Press |
| Total Pages | : 300 |
| Release | : 2021-07-15 |
| Genre | : Mathematics |
| ISBN | : 0192578383 |
Download The Disc Embedding Theorem Book in PDF, ePub and Kindle
Based on Fields medal winning work of Michael Freedman, this book explores the disc embedding theorem for 4-dimensional manifolds. This theorem underpins virtually all our understanding of topological 4-manifolds. Most famously, this includes the 4-dimensional Poincaré conjecture in the topological category. The Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman's proof of the disc embedding theorem, with many new details. A self-contained account of decomposition space theory, a beautiful but outmoded branch of topology that produces non-differentiable homeomorphisms between manifolds, is provided, as well as a stand-alone interlude that explains the disc embedding theorem's key role in all known homeomorphism classifications of 4-manifolds via surgery theory and the s-cobordism theorem. Additionally, the ramifications of the disc embedding theorem within the study of topological 4-manifolds, for example Frank Quinn's development of fundamental tools like transversality are broadly described. The book is written for mathematicians, within the subfield of topology, specifically interested in the study of 4-dimensional spaces, and includes numerous professionally rendered figures.
| Author | : Alex Fornito |
| Publisher | : Academic Press |
| Total Pages | : 496 |
| Release | : 2016-03-04 |
| Genre | : Medical |
| ISBN | : 0124081185 |
Download Fundamentals of Brain Network Analysis Book in PDF, ePub and Kindle
Fundamentals of Brain Network Analysis is a comprehensive and accessible introduction to methods for unraveling the extraordinary complexity of neuronal connectivity. From the perspective of graph theory and network science, this book introduces, motivates and explains techniques for modeling brain networks as graphs of nodes connected by edges, and covers a diverse array of measures for quantifying their topological and spatial organization. It builds intuition for key concepts and methods by illustrating how they can be practically applied in diverse areas of neuroscience, ranging from the analysis of synaptic networks in the nematode worm to the characterization of large-scale human brain networks constructed with magnetic resonance imaging. This text is ideally suited to neuroscientists wanting to develop expertise in the rapidly developing field of neural connectomics, and to physical and computational scientists wanting to understand how these quantitative methods can be used to understand brain organization. Winner of the 2017 PROSE Award in Biomedicine & Neuroscience and the 2017 British Medical Association (BMA) Award in Neurology Extensively illustrated throughout by graphical representations of key mathematical concepts and their practical applications to analyses of nervous systems Comprehensively covers graph theoretical analyses of structural and functional brain networks, from microscopic to macroscopic scales, using examples based on a wide variety of experimental methods in neuroscience Designed to inform and empower scientists at all levels of experience, and from any specialist background, wanting to use modern methods of network science to understand the organization of the brain
