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

Автор: Carlo Gasbarri, Steven Lu, Mike Roth, Yuri Tschinkel
Название: Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties
ISBN: 1470414589 ISBN-13(EAN): 9781470414580
Издательство: Mare Nostrum (Eurospan)
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Цена: 104410.00 T
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Описание: Contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held in June 2013. The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties.

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.

Автор: Abby Enger
Название: Symmetry and Pattern in Projective Geometry
ISBN: 1681176491 ISBN-13(EAN): 9781681176499
Издательство: Gazelle Book Services
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Цена: 230210.00 T
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Описание: "We are all familiar with Euclidean geometry and with the fact that it describes our three dimensional world so well. In Euclidean geometry, the sides of objects have lengths, intersecting lines determine angles between them, and two lines are said to be parallel if they lie in the same plane and never meet. Moreover, these properties do not change when the Euclidean transformations (translation and rotation) are applied. Since Euclidean geometry describes our world so well, it is at first tempting to think that it is the only type of geometry. However, when we consider the imaging process of a camera, it becomes clear that Euclidean geometry is insufficient: Lengths and angles are no longer preserved, and parallel lines may intersect. Euclidean geometry is actually a subset of what is known as projective geometry. Projective geometry exists in any number of dimensions, just like Euclidean geometry. Projective geometry has its origins in the early Italian Renaissance, particularly in the architectural drawings of Filippo Brunelleschi (13771446) and Leon Battista Alberti (140472), who invented the method of perspective drawing. Projective geometry deals with the relationships between geometric figures and the images, or mappings that result from projecting them onto another surface. Common examples of projections are the shadows cast by opaque objects and motion pictures displayed on a screen. First of all, projective geometry is a jewel of mathematics, one of the outstanding achievements of the nineteenth century, a century of remarkable mathematical achievements such as non-Euclidean geometry, abstract algebra, and the foundations of calculus. Projective geometry is as much a part of a general education in mathematics as differential equations and Galois theory. Moreover, projective geometry is a prerequisite for algebraic geometry, one of todays most vigorous and exciting branches of mathematics. Secondly, for more than fifty years projective geometry has been propelled in a new direction by its combinatorial connections. The challenge of describing a classical geometric structure by its parameters - properties that at first glance might seem superficial - provided much of the impetus for finite geometry, another of todays flourishing branches of mathematics. Finally, in recent years new and important applications have been discovered. Surprisingly, the structures of classical projective geometry are ideally suited for modem communications. Symmetry and Pattern in Projective Geometry will be appreciated by mathematics students and those wishing to learn more about the subject of geometry. It makes accessible subjects and theorems which are often considered quite complicated and presents them in an easy-to-read and enjoyable manner. This book offers a comprehensive introduction to this fascinating field and its applications."

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: 58080.00 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: 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: 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: 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.