From Geometry To Behavior
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From Geometry To Behavior
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Author : Hanspeter A. Mallot
language : en
Publisher: MIT Press
Release Date : 2024-01-23
From Geometry To Behavior written by Hanspeter A. Mallot and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-23 with Psychology categories.
An overview of the mechanisms and evolution of spatial cognition, integrating evidence from psychology, neuroscience, cognitive science, and computational geometry. Understanding how we deal with space requires input from many fields, including ethology, neuroscience, psychology, cognitive science, linguistics, geography, and spatial information theory. In From Geometry to Behavior, cognitive neuroscientist Hanspeter A. Mallot provides an overview of the basic mechanisms of spatial behavior in animals and humans, showing how they combine to support higher-level performance. Mallot explores the biological mechanisms of dealing with space, from the perception of visual space to the constructions of large space representations: that is, the cognitive map. The volume is also relevant to the epistemology of spatial knowledge in the philosophy of mind. Mallot aims to establish spatial cognition as a scientific field in its own right. His general approach is psychophysical, in that it focuses on quantitative descriptions of behavioral performance and their real-world determinants, thus connecting to the work of theorists in computational neuroscience, robotics, and computational geometry. After an overview of scientific thinking about space, Mallot covers spatial behavior and its underlying mechanisms in the order of increasing memory involvement. He describes the cognitive processes that underlie advanced spatial behaviors such as directed search, wayfinding, spatial planning, spatial reasoning, object building and manipulation, and communication about space. These mechanisms are part of the larger cognitive apparatus that also serves visual and object cognition; understanding events, actions, and causality; and social cognition, which includes language. Of all of these cognitive domains, spatial cognition most likely occurred first in the course of evolution and is the most widespread throughout the animal kingdom.
Dynamical Systems In Neuroscience
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Author : Eugene M. Izhikevich
language : en
Publisher: MIT Press
Release Date : 2010-01-22
Dynamical Systems In Neuroscience written by Eugene M. Izhikevich and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-22 with Medical categories.
Explains the relationship of electrophysiology, nonlinear dynamics, and the computational properties of neurons, with each concept presented in terms of both neuroscience and mathematics and illustrated using geometrical intuition. In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want to learn the basic facts of electrophysiology. Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties. The book introduces dynamical systems, starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. The book explains all necessary mathematical concepts using geometrical intuition; it includes many figures and few equations, making it especially suitable for non-mathematicians. Each concept is presented in terms of both neuroscience and mathematics, providing a link between the two disciplines. Nonlinear dynamical systems theory is at the core of computational neuroscience research, but it is not a standard part of the graduate neuroscience curriculum—or taught by math or physics department in a way that is suitable for students of biology. This book offers neuroscience students and researchers a comprehensive account of concepts and methods increasingly used in computational neuroscience. An additional chapter on synchronization, with more advanced material, can be found at the author's website, www.izhikevich.com.
Geometry Civilized
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Author : J. L. Heilbron
language : en
Publisher: Oxford University Press
Release Date : 2000
Geometry Civilized written by J. L. Heilbron 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 2000 with Mathematics categories.
This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.
Interactive 3d Multimedia Content
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Author : Wojciech Cellary
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-07
Interactive 3d Multimedia Content written by Wojciech Cellary 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 2012-01-07 with Computers categories.
The book describes recent research results in the areas of modelling, creation, management and presentation of interactive 3D multimedia content. The book describes the current state of the art in the field and identifies the most important research and design issues. Consecutive chapters address these issues. These are: database modelling of 3D content, security in 3D environments, describing interactivity of content, searching content, visualization of search results, modelling mixed reality content, and efficient creation of interactive 3D content. Each chapter is illustrated with example applications based on the proposed approach. The final chapter discusses some important ethical issues related to the widespread use of virtual environments in everyday life. The book provides ready to use solutions for many important problems related to the creation of interactive 3D multimedia applications and will be a primary reading for researchers and developers working in this domain.
Dynamics The Geometry Of Behavior Global Behavior
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Author : Ralph Abraham
language : en
Publisher:
Release Date : 1982
Dynamics The Geometry Of Behavior Global Behavior written by Ralph Abraham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Social Science categories.
Elliptic And Parabolic Methods In Geometry
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Author : Ben Chow
language : en
Publisher: CRC Press
Release Date : 1996-10-15
Elliptic And Parabolic Methods In Geometry written by Ben Chow and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-15 with Mathematics categories.
This book documents the results of a workshop held at the Geometry Center (University of Minnesota, Minneapolis) and captures the excitement of the week.
Dynamics
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Author :
language : en
Publisher:
Release Date : 1981
Dynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Algebraic Geometry
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Author : Gerrit Hayson
language : en
Publisher:
Release Date :
Algebraic Geometry written by Gerrit Hayson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In the grand tapestry of mathematics, few subjects weave together abstract thought and visual intuition as elegantly as algebraic geometry. This field represents one of humanity's most ambitious intellectual achievements: the creation of a bridge between the symbolic world of algebra and the spatial realm of geometry. To understand algebraic geometry is to witness the profound unity that underlies seemingly disparate mathematical concepts. The journey begins with a simple yet revolutionary idea. Every polynomial equation corresponds to a geometric shape, and conversely, every geometric shape can be described through algebraic equations. Consider the humble equation x² + y² = 1. To an algebraist, this represents a relationship between variables, a constraint that solutions must satisfy. To a geometer, it describes a perfect circle centered at the origin with radius one. Algebraic geometry recognizes that these are not two different mathematical objects but rather two perspectives on the same fundamental entity. This duality extends far beyond simple circles. The equation y = x² defines a parabola, while y² = x³ describes a cubic curve with a distinctive cusp. More complex polynomial equations generate increasingly intricate curves and surfaces, each possessing both algebraic properties derived from the equations and geometric properties visible to the eye. The genius of algebraic geometry lies in its ability to translate problems from one domain to the other, using whichever approach offers the clearest path to understanding.
Recent Developments In Geometry
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Author : Robert Everist Greene
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Recent Developments In Geometry written by Robert Everist Greene 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 1989 with Mathematics categories.
This volume is the outgrowth of a Special Session on Geometry, held at the November 1987 meeting of the AMS at the University of California at Los Angeles. The unusually well-attended session attracted more than sixty participants and featured over forty addresses by some of the day's outstanding geometers. By common consent, it was decided that the papers to be collected in the present volume should be surveys of relatively broad areas of geometry, rather than detailed presentations of new research results. A comprehensive survey of the field is beyond the scope of a volume such as this. Nonetheless, the editors have sought to provide all geometers, whatever their specialties, with some insight into recent developments in a variety of topics in this active area of research.
The Handbook Of Social Control
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Author : Mathieu Deflem
language : en
Publisher: John Wiley & Sons
Release Date : 2019-01-22
The Handbook Of Social Control written by Mathieu Deflem 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 2019-01-22 with Social Science categories.
The Handbook of Social Control offers a comprehensive review of the concepts of social control in today's environment and focuses on the most relevant theories associated with social control. With contributions from noted experts in the field across 32 chapters, the depth and scope of the Handbook reflects the theoretical and methodological diversity that exists within the study of social control. Chapters explore various topics including: theoretical perspectives; institutions and organizations; law enforcement; criminal justice agencies; punishment and incarceration; surveillance; and global developments. This Handbook explores a variety of issues and themes on social control as being a central theme of criminological reflection. The text clearly demonstrates the rich heritage of the major relevant perspectives of social control and provides an overview of the most important theories and dimensions of social control today. Written for academics, undergraduate, and graduate students in the fields of criminology, criminal justice, and sociology, The Handbook of Social Control is an indispensable resource that explores a contemporary view of the concept of social control.