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Author: Ulf Leonhardt
Publisher: Courier Corporation
ISBN: 0486134903
Category : Science
Languages : en
Pages : 290
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Book Description
Suitable for advanced undergraduate and graduate students of engineering, physics, and mathematics and scientific researchers of all types, this is the first authoritative text on invisibility and the science behind it. More than 100 full-color illustrations, plus exercises with solutions. 2010 edition.
Author: Ulf Leonhardt
Publisher: Courier Corporation
ISBN: 0486134903
Category : Science
Languages : en
Pages : 290
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Book Description
Suitable for advanced undergraduate and graduate students of engineering, physics, and mathematics and scientific researchers of all types, this is the first authoritative text on invisibility and the science behind it. More than 100 full-color illustrations, plus exercises with solutions. 2010 edition.
Author: Ernst Mach
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 164
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Book Description
Author: Urszula Szulakowska
Publisher: BRILL
ISBN: 9789004116900
Category : Body, Mind & Spirit
Languages : en
Pages : 280
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Book Description
This re-examination of alchemical engravings of the late Renaissance uses an innovative semiotic method in analysing their geometrical and optical rhetorical devices. The images are contextualised within contemporary metaphysics, specifically, the discourse of light, and in Protestant reformism.
Author: Arkan Zeytinoglu
Publisher: Springer
ISBN: 9783709105382
Category : Architecture
Languages : en
Pages : 0
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Book Description
Arkan Zeytinoglu calls his projects "built theory." Since many years, he has dealt with "the geometry of light", which describes best his special approach to architecture. But as an architect, Zeytinoglu, who studied at University of Technology TU Graz under Günther Domenig and later on at Cooper Union in New York, devotes himself mainly to building activities. Since his office’s foundation in 1995, realizations have included works in the field of hotels and resorts, gastronomy, and luxury residences. In May 2010, the internationally much-noticed Austrian pavilion at Expo 2010 Shanghai (ARGE SPAN & Zeytinoglu) was inaugurated. The book contains all essential realizations as well as a work list and an outlook at the buildings to be completed soon.
Author: John Beaver
Publisher: Morgan & Claypool Publishers
ISBN: 1643273329
Category : Science
Languages : en
Pages : 176
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Book Description
This book uses art photography as a point of departure for learning about physics, while also using physics as a point of departure for asking fundamental questions about the nature of photography as an art. Although not a how-to manual, the topics center around hands-on applications, most-often illustrated by photographic processes that are inexpensive and easily accessible to students (including a versatile new process developed by the author, and herein first described in print). A central theme is the connection between the physical interaction of light and matter on the one hand, and the artistry of the photographic processes and their results on the other. Geometry and the Nature of Light focuses on the physics of light and the optics of lenses, but also includes extended discussions of topics less commonly covered in a beginning text, including symmetry in art and physics, different physical processes of the scattering of light, photograms (photographic shadow prints) and the nature of shadows, elements of 2-dimensional design, pinhole photography and the view camera. Although written at a beginning undergraduate level, the topics are chosen for their role in a more general discussion of the relation between science and art that is of interest to readers of all backgrounds and levels of expertise.
Author: Marcel Berger
Publisher: Springer Science & Business Media
ISBN: 1475718365
Category : Mathematics
Languages : en
Pages : 275
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Book Description
Written as a supplement to Marcel Berger’s popular two-volume set, Geometry I and II (Universitext), this book offers a comprehensive range of exercises, problems, and full solutions. Each chapter corresponds directly to one in the relevant volume, from which it also provides a summary of key ideas. Where the original Geometry volumes tend toward challenging problems without hints, this book offers a wide range of material that begins at an accessible level, and includes suggestions for nearly every problem. Bountiful in illustrations and complete in its coverage of topics from affine and projective spaces, to spheres and conics, Problems in Geometry is a valuable addition to studies in geometry at many levels.
Author: Serge Tabachnikov
Publisher: American Mathematical Soc.
ISBN: 0821839195
Category : Mathematics
Languages : en
Pages : 192
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Book Description
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary. This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics. Topics covered include variational principles of billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely integrable billiards, periodic billiard trajectories, polygonal billiards, mechanisms of chaos in billiard dynamics, and the lesser-known subject of dual (or outer) billiards. The book is based on an advanced undergraduate topics course. Minimum prerequisites are the standard material covered in the first two years of college mathematics (the entire calculus sequence, linear algebra). However, readers should show some mathematical maturity and rely on their mathematical common sense. A unique feature of the book is the coverage of many diverse topics related to billiards, for example, evolutes and involutes of plane curves, the four-vertex theorem, a mathematical theory of rainbows, distribution of first digits in various sequences, Morse theory, the Poincare recurrence theorem, Hilbert's fourth problem, Poncelet porism, and many others. There are approximately 100 illustrations. The book is suitable for advanced undergraduates, graduate students, and researchers interested in ergodic theory and geometry. This volume has been copublished with the Mathematics Advanced Study Semesters program at Penn State.
Author: Benjamin Bold
Publisher: Courier Corporation
ISBN: 0486137635
Category : Science
Languages : en
Pages : 148
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Book Description
Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
Author: Eli Maor
Publisher: Princeton University Press
ISBN: 0691175888
Category : Art
Languages : en
Pages : 206
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Book Description
An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.
Author: Peter Gardenfors
Publisher: MIT Press
ISBN: 9780262572194
Category : Psychology
Languages : en
Pages : 324
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Book Description
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.
