Collineations and Conic Sections: An Introduction to Projective Geometry in Its History, Baltus Christopher

Автор: Baltus Christopher
Название: Collineations and Conic Sections: An Introduction to Projective Geometry in its History
ISBN: 3030462897 ISBN-13(EAN): 9783030462895
Издательство: Springer
Цена: 46570.00 T
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Описание: This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century.

Автор: Edwards, Lawrence
Название: Projective geometry
ISBN: 0863153933 ISBN-13(EAN): 9780863153938
Издательство: Edward Elgar Publishers
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Цена: 28160.00 T
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Описание: A clear and artistic understanding of the qualities of projective geometry. Useful for Upper School Steiner-Waldorf teachers.

Название: Moduli Spaces Of Real Projective Structures On Surfaces
ISBN: 4864970963 ISBN-13(EAN): 9784864970969
Издательство: World Scientific Publishing
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Цена: 21120.00 T
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Описание: This book is an excellent first encounter with the burgeoning field of real projective manifolds. It gives a comprehensive introduction to the theory of real projective structures on surfaces and their moduli spaces. A central theme is an attractive parameterisation of moduli space discovered by Fock and Goncharov that allows the explicit description or analysis of many key features. These include a natural Poisson structure, the effect of projective duality, holonomy representations and the geometry of ends, to name but a few.This book is written with two kinds of readers in mind: those who would like to learn about real projective surfaces or manifolds, and those who have a passing knowledge thereof but are interested in the geometric underpinnings of Fock and Goncharov's parameterisation of moduli space of certain real projective structures.The material is accessible to any mathematician interested in these topics. It is presented in a self-contained manner with minimal prerequisites. Applications of Fock and Goncharov's parameterisation of moduli space presented in this book include new proofs of results by Teichmuller (1939) concerning hyperbolic structures, by Goldman (1990) concerning closed surfaces, and by Marquis (2010) concerning structures of finite area.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

Автор: Crannell Annalisa, Frantz Marc, Futamura Fumiko
Название: Perspective and Projective Geometry
ISBN: 0691196567 ISBN-13(EAN): 9780691196565
Издательство: Wiley
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Цена: 61250.00 T
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Описание:

Through a unique approach combining art and mathematics, Perspective and Projective Geometry introduces students to the ways that projective geometry applies to perspective art. Geometry, like mathematics as a whole, offers a useful and meaningful lens for understanding the visual world. Exploring pencil-and-paper drawings, photographs, Renaissance paintings, and GeoGebra constructions, this textbook equips students with the geometric tools for projecting a three-dimensional scene onto two dimensions.

Organized as a series of exercise modules, this book teaches students through hands-on inquiry and participation. Each lesson begins with a visual puzzle that can be investigated through geometry, followed by exercises that reinforce new concepts and hone students' analytical abilities. An electronic instructor's manual available to teachers contains sample syllabi and advice, including suggestions for pacing and grading rubrics for art projects.

Drawing vital interdisciplinary connections between art and mathematics, Perspective and Projective Geometry is ideally suited for undergraduate students interested in mathematics or computer graphics, as well as for mathematically inclined students of architecture or art.

- Features computer-based GeoGebra modules and hands-on exercises
- Contains ample visual examples, math and art puzzles, and proofs with real-world applications
- Suitable for college students majoring in mathematics, computer science, and art
- Electronic instructor's manual (available only to teachers)

Автор: Leonard
Название: Classical Geometry - Euclidean, Transformational, Inversive, and Projective
ISBN: 1118679199 ISBN-13(EAN): 9781118679197
Издательство: Wiley
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Цена: 91820.00 T
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Описание: Written by well-known mathematical problem solvers, Classical Geometry features up-to-date and applicable coverage of the wide spectrum of modern geometry and aids readers in learning the art of logical reasoning, modeling, and proof.

Автор: Francesco Russo
Название: On the Geometry of Some Special Projective Varieties
ISBN: 3319267647 ISBN-13(EAN): 9783319267647
Издательство: Springer
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Цена: 46570.00 T
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Описание:

Preface.-Introduction.- 1.Tangent cones, tangent spaces, tangent stars; secant, tangent and tangent star varieties to an algebraic variety.- 2.Basics of Deformation Theory of Rational Curves on Projective Varieties.- 3.Fulton-Hansen Connectedness Theorem, Scorza Lemma and their applications to projective geometry.- 4.Local quadratic entry locus manifolds and conic connected manifolds.- 5.Hartshorne Conjectures and Severi varieties.- 6.Varieties n-covered by curves of a fixed degree and the XJC.- 7. Hypersurfaces with vanishing hessian.-Bibliography

Автор: David M Calderbank, Katharina Neusser, Michael G. Eastwood, Vladimir S. Matveev
Название: C-Projective Geometry
ISBN: 1470443007 ISBN-13(EAN): 9781470443009
Издательство: Mare Nostrum (Eurospan)
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Цена: 80390.00 T
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Описание: Develops in detail the theory of (almost) c-projective geometry, a natural analogue of projective differential geometry adapted to (almost) complex manifolds. The authors realise it as a type of parabolic geometry and describe the associated Cartan or tractor connection.

Автор: J?rgen Richter-Gebert
Название: Perspectives on Projective Geometry
ISBN: 3662519585 ISBN-13(EAN): 9783662519585
Издательство: Springer
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Цена: 65210.00 T
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Описание: This book provides a comprehensive introduction into the classical topic of projective geometry. It explains how metric concepts may be best understood in projective terms and explores the beauty of the interplay of geometry, algebra and combinatorics.

Автор: Pierre Samuel; Silvio Levy
Название: Projective Geometry
ISBN: 0387967524 ISBN-13(EAN): 9780387967523
Издательство: Springer
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Цена: 74490.00 T
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Описание: The purpose of this book is to revive some of the beautiful results obtained by various geometers of the 19th century, and to give its readers a taste of concrete algebraic geometry.

Автор: R. Lazarsfeld; Ven
Название: Topics in the Geometry of Projective Space
ISBN: 3764316608 ISBN-13(EAN): 9783764316600
Издательство: Springer
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Цена: 23250.00 T
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Описание: thus the connectedness theorem can be used to prove the inequality-part of Hartshorne`s conjecture on linear normality, whereas Deligne`s generalisation of the connectedness theorem leads to a refinement of Barth`s results on the topology of varieties with small codimension in a projective space.