A Calculus Of Ideas
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Calculus Of Ideas A A Mathematical Study Of Human Thought
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Author : Ulf Grenander
language : en
Publisher: World Scientific
Release Date : 2012-08-10
Calculus Of Ideas A A Mathematical Study Of Human Thought written by Ulf Grenander and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-10 with Mathematics categories.
This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind. It presents a mathematical theory of human thought based on pattern theory with a graph-based approach to thinking. The method illustrated and produced by extensive computer simulations is related to neural networks. Based mainly on introspection, it is speculative rather than empirical such that it differs radically in attitude from the conventional wisdom of current cognitive science.
A Calculus Of Ideas
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Author : Ulf Grenander
language : en
Publisher: World Scientific
Release Date : 2012
A Calculus Of Ideas written by Ulf Grenander and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.
This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind. It presents a mathematical theory of human thought based on pattern theory with a graph-based approach to thinking. The method illustrated and produced by extensive computer simulations is related to neural networks. Based mainly on introspection, it is speculative rather than empirical such that it differs radically in attitude from the conventional wisdom of current cognitive science.
A Calculus Of Ideas
DOWNLOAD
Author : Ulf Grenander
language : en
Publisher: World Scientific
Release Date : 2012
A Calculus Of Ideas written by Ulf Grenander and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.
This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind. It presents a mathematical theory of human thought based on pattern theory with a graph-based approach to thinking. The method illustrated and produced by extensive computer simulations is related to neural networks. Based mainly on introspection, it is speculative rather than empirical such that it differs radically in attitude from the conventional wisdom of current cognitive science.
Distilling Ideas
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Author : Brian P. Katz
language : en
Publisher: MAA
Release Date : 2013
Distilling Ideas written by Brian P. Katz and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Education categories.
Introduction -- Graphs -- Groups -- Calculus -- Conclusion.
Nonplussed
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Author : Julian Havil
language : en
Publisher: Princeton University Press
Release Date : 2010-08-02
Nonplussed written by Julian Havil and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-02 with Mathematics categories.
Math—the application of reasonable logic to reasonable assumptions—usually produces reasonable results. But sometimes math generates astonishing paradoxes—conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true. Did you know that a losing sports team can become a winning one by adding worse players than its opponents? Or that the thirteenth of the month is more likely to be a Friday than any other day? Or that cones can roll unaided uphill? In Nonplussed!—a delightfully eclectic collection of paradoxes from many different areas of math—popular-math writer Julian Havil reveals the math that shows the truth of these and many other unbelievable ideas. Nonplussed! pays special attention to problems from probability and statistics, areas where intuition can easily be wrong. These problems include the vagaries of tennis scoring, what can be deduced from tossing a needle, and disadvantageous games that form winning combinations. Other chapters address everything from the historically important Torricelli's Trumpet to the mind-warping implications of objects that live on high dimensions. Readers learn about the colorful history and people associated with many of these problems in addition to their mathematical proofs. Nonplussed! will appeal to anyone with a calculus background who enjoys popular math books or puzzles.
Calculus Ideas And Applications Brief Edition 1e With Calculus Ideas And Applications Technology Tools Manual Set
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Author : Alex Himonas
language : en
Publisher: Wiley
Release Date : 2003-10-07
Calculus Ideas And Applications Brief Edition 1e With Calculus Ideas And Applications Technology Tools Manual Set written by Alex Himonas and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-07 with Mathematics categories.
Calculus Reordered
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Author : David M. Bressoud
language : en
Publisher: Princeton University Press
Release Date : 2019-07-16
Calculus Reordered written by David M. Bressoud and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-16 with Mathematics categories.
How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to change Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus represents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus’s birth in the Hellenistic Eastern Mediterranean—particularly in Syracuse, Sicily and Alexandria, Egypt—as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus’s evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends that the historical order—integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities—makes more sense in the classroom environment. Exploring the motivations behind calculus’s discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.
The Calculus Collection
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Author : Caren L. Diefenderfer
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31
The Calculus Collection written by Caren L. Diefenderfer 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 2010-12-31 with Mathematics categories.
The Calculus Collection is a useful resource for everyone who teaches calculus, in high school or in a 2- or 4-year college or university. It consists of 123 articles, selected by a panel of six veteran high school teachers, each of which was originally published in Math Horizons, MAA Focus, The American Mathematical Monthly, The College Mathematics Journal, or Mathematics Magazine. The articles focus on engaging students who are meeting the core ideas of calculus for the first time. The Calculus Collection is filled with insights, alternate explanations of difficult ideas, and suggestions for how to take a standard problem and open it up to the rich mathematical explorations available when you encourage students to dig a little deeper. Some of the articles reflect an enthusiasm for bringing calculators and computers into the classroom, while others consciously address themes from the calculus reform movement. But most of the articles are simply interesting and timeless explorations of the mathematics encountered in a first course in calculus.
Calculus Ideas And Applications Brief Edition With Student Solutions Manual Activities And Technology Manual Set
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Author : Alex Himonas
language : en
Publisher: Wiley
Release Date : 2003-10-08
Calculus Ideas And Applications Brief Edition With Student Solutions Manual Activities And Technology Manual Set written by Alex Himonas and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-08 with Mathematics categories.
Great Ideas Of Modern Mathematics Their Nature And Use
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Author : Jagjit Singh
language : en
Publisher: Courier Corporation
Release Date : 1959-01-01
Great Ideas Of Modern Mathematics Their Nature And Use written by Jagjit Singh and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959-01-01 with Science categories.
An explanation of the development and structure of the modern mathematics used in contemporary science