The Geometry of Choice

The Geometry of Choice

Author: Marek Kuźniak

Publisher: Springer Nature

Published: 2021-08-19

Total Pages: 268

ISBN-13: 3030786552

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This book offers a cognitive-semantic insight into the roots of the human decisionmaking process, using the metaphor of CHOICE as CUBE. The areas of key interest are language, culture, and education as forms of social organization. This book addresses issues relevant to a number of fields, including social epistemology, cognitive linguistics, cognitive anthropology, philosophy, culture and education studies, and will be of interest to readers in these and related disciplines.


The Geometry of Numbers

The Geometry of Numbers

Author: C. D. Olds

Publisher: Cambridge University Press

Published: 2001-02-22

Total Pages: 198

ISBN-13: 9780883856437

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A self-contained introduction to the geometry of numbers.


Conceptual Spaces

Conceptual Spaces

Author: Peter Gardenfors

Publisher: MIT Press

Published: 2004-01-30

Total Pages: 324

ISBN-13: 9780262572194

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Within cognitive science, two approaches currently dominate the problem of modeling representations. The symbolic approach views cognition as computation involving symbolic manipulation. Connectionism, a special case of associationism, models associations using artificial neuron networks. Peter Gärdenfors offers his theory of conceptual representations as a bridge between the symbolic and connectionist approaches. Symbolic representation is particularly weak at modeling concept learning, which is paramount for understanding many cognitive phenomena. Concept learning is closely tied to the notion of similarity, which is also poorly served by the symbolic approach. Gärdenfors's theory of conceptual spaces presents a framework for representing information on the conceptual level. A conceptual space is built up from geometrical structures based on a number of quality dimensions. The main applications of the theory are on the constructive side of cognitive science: as a constructive model the theory can be applied to the development of artificial systems capable of solving cognitive tasks. Gärdenfors also shows how conceptual spaces can serve as an explanatory framework for a number of empirical theories, in particular those concerning concept formation, induction, and semantics. His aim is to present a coherent research program that can be used as a basis for more detailed investigations.


Analysis, Geometry, and Modeling in Finance

Analysis, Geometry, and Modeling in Finance

Author: Pierre Henry-Labordere

Publisher: CRC Press

Published: 2008-09-22

Total Pages: 403

ISBN-13: 1420087002

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Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th


Kiselev's Geometry

Kiselev's Geometry

Author: Andreĭ Petrovich Kiselev

Publisher:

Published: 2008

Total Pages: 192

ISBN-13:

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This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.


Complex Geometry

Complex Geometry

Author: Daniel Huybrechts

Publisher: Springer Science & Business Media

Published: 2005

Total Pages: 336

ISBN-13: 9783540212904

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Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)


The Geometry of Schemes

The Geometry of Schemes

Author: David Eisenbud

Publisher: Springer Science & Business Media

Published: 2006-04-06

Total Pages: 265

ISBN-13: 0387226397

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Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.


A Course in the Geometry of N Dimensions

A Course in the Geometry of N Dimensions

Author: Maurice G. Kendall

Publisher: Courier Corporation

Published: 2004-01-01

Total Pages: 82

ISBN-13: 0486439275

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This text for undergraduate students provides a foundation for resolving proofs dependent on n-dimensional systems. The two-part treatment begins with simple figures in n dimensions and advances to examinations of the contents of hyperspheres, hyperellipsoids, hyperprisms, etc. The second part explores the mean in rectangular variation, the correlation coefficient in bivariate normal variation, Wishart's distribution, more. 1961 edition.


Period Mappings and Period Domains

Period Mappings and Period Domains

Author: James Carlson

Publisher: Cambridge University Press

Published: 2017-08-24

Total Pages: 577

ISBN-13: 1108422624

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An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.


The Geometry of Desert

The Geometry of Desert

Author: Shelly Kagan

Publisher: Oxford University Press

Published: 2014-12-04

Total Pages: 675

ISBN-13: 0190233729

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The Geometry of Desert explores the hidden complexity of moral desert. Using graphs to illustrate and contrast alternative views, it carefully investigates the various ways in which the value of an outcome varies when people get (or fail to get) what they deserve.