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The Real Projective Plane, G. Beck; H.S.M. Coxeter


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Автор: G. Beck; H.S.M. Coxeter
Название:  The Real Projective Plane
ISBN: 9781461392835
Издательство: Springer
Классификация: ISBN-10: 1461392837
Обложка/Формат: Paperback
Страницы: 222
Вес: 0.34 кг.
Дата издания: 08.08.2013
Язык: English
Размер: 234 x 156 x 13
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Along with many small improvements, this revised edition contains van Yzerens new proof of Pascals theorem ( 1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is now used as an essential step in the theory of harmonic separation ( 3.34). This makes the logi- cal development self-contained: the footnotes involving the References (pp. 214-216) are for comparison with earlier treatments, and to give credit where it is due, not to fill gaps in the argument. H.S.M.C. November 1992 v Preface to the Second Edition Why should one study the real plane? To this question, put by those who advocate the complex plane, or geometry over a general field, I would reply that the real plane is an easy first step. Most of the prop- erties are closely analogous, and the real field has the advantage of intuitive accessibility. Moreover, real geometry is exactly what is needed for the projective approach to non-Euclidean geometry. Instead of introducing the affine and Euclidean metrics as in Chapters 8 and 9, we could just as well take the locus of points at infinity to be a conic, or replace the absolute involution by an absolute polarity.

The Real Projective Plane

Автор: G. Beck; H.S.M. Coxeter
Название: The Real Projective Plane
ISBN: 1461276470 ISBN-13(EAN): 9781461276470
Издательство: Springer
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Цена: 62380.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: With an appendix for Mathematica. PC Version

The Real Projective Plane

Автор: G. Beck; H.S.M. Coxeter
Название: The Real Projective Plane
ISBN: 0387978895 ISBN-13(EAN): 9780387978895
Издательство: Springer
Рейтинг:
Цена: 62380.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Along with many small improvements, this revised edition contains van Yzeren's new proof of Pascal's theorem (1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is now used as an essential step in the theory of harmonic separation (3.34). This makes the logi- cal development self-contained: the footnotes involving the References (pp. 214-216) are for comparison with earlier treatments, and to give credit where it is due, not to fill gaps in the argument. H.S.M.C. November 1992 v Preface to the Second Edition Why should one study the real plane? To this question, put by those who advocate the complex plane, or geometry over a general field, I would reply that the real plane is an easy first step. Most of the prop- erties are closely analogous, and the real field has the advantage of intuitive accessibility. Moreover, real geometry is exactly what is needed for the projective approach to non- Euclidean geometry. Instead of introducing the affine and Euclidean metrics as in Chapters 8 and 9, we could just as well take the locus of 'points at infinity' to be a conic, or replace the absolute involution by an absolute polarity.

Projective Assessment

Автор: Robert R. Holt
Название: Projective Assessment
ISBN: 1468423932 ISBN-13(EAN): 9781468423938
Издательство: Springer
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Цена: 46570.00 T
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Methods of Algebraic Geometry in Control Theory: Part II / Multivariable Linear Systems and Projective Algebraic Geometry

Автор: Falb Peter
Название: Methods of Algebraic Geometry in Control Theory: Part II / Multivariable Linear Systems and Projective Algebraic Geometry
ISBN: 1461271940 ISBN-13(EAN): 9781461271949
Издательство: Springer
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Цена: 74530.00 T
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Описание: The first volume dealt with the simplest control systems (i.e., single input, single output linear time-invariant systems) and with the simplest algebraic geometry (i.e., affine algebraic geometry).

De Sitter Projective Relativity

Автор: Ignazio Licata; Leonardo Chiatti; Elmo Benedetto
Название: De Sitter Projective Relativity
ISBN: 3319522701 ISBN-13(EAN): 9783319522708
Издательство: Springer
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Цена: 51230.00 T
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Описание: This book presents the Projective approach to de Sitter Relativity. In this volume a systematic presentation is given of the De Sitter Projective relativity, with the recent developments in projective general relativity and quantum cosmology.

Solutions Manual to Accompany Classical Geometry -  Euclidean, Transformational, Inversive, and Projective

Автор: Leonard
Название: Solutions Manual to Accompany Classical Geometry - Euclidean, Transformational, Inversive, and Projective
ISBN: 1118903528 ISBN-13(EAN): 9781118903520
Издательство: Wiley
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Цена: 29510.00 T
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Описание: Solutions Manual to accompany

CR Submanifolds of Complex Projective Space

Автор: Mirjana Djoric; Masafumi Okumura
Название: CR Submanifolds of Complex Projective Space
ISBN: 1461424771 ISBN-13(EAN): 9781461424772
Издательство: Springer
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Цена: 107130.00 T
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Описание: This text begins with an introduction to complex differential geometry and the properties of complex manifolds. It then describes the properties of hypersurfaces of various complex spaces and CR manifolds, emphasizing CR submanifolds of maximal CR dimension.

Unitals in projective planes

Автор: Barwick, Susan Ebert, Gary
Название: Unitals in projective planes
ISBN: 0387763643 ISBN-13(EAN): 9780387763644
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book is a monograph on unitals embedded in ?nite projective planes. For example, unitals play a parallel role to Baer s- planes when considering extreme values for the size of a blocking set in a square order projective plane (see Section 2.3).

Projective Duality and Homogeneous Spaces

Автор: Evgueni A. Tevelev
Название: Projective Duality and Homogeneous Spaces
ISBN: 3642061729 ISBN-13(EAN): 9783642061721
Издательство: Springer
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Цена: 130430.00 T
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Описание: Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature.

Quasi-projective Moduli for Polarized Manifolds

Автор: Eckart Viehweg
Название: Quasi-projective Moduli for Polarized Manifolds
ISBN: 3642797474 ISBN-13(EAN): 9783642797477
Издательство: Springer
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Цена: 83850.00 T
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Описание: The concept of moduli goes back to B. Riemann, who shows in 68] that the isomorphism class of a Riemann surface of genus 9 2 depends on 3g - 3 parameters, which he proposes to name "moduli". A precise formulation of global moduli problems in algebraic geometry, the definition of moduli schemes or of algebraic moduli spaces for curves and for certain higher dimensional manifolds have only been given recently (A. Grothendieck, D. Mumford, see 59]), as well as solutions in some cases. It is the aim of this monograph to present methods which allow over a field of characteristic zero to construct certain moduli schemes together with an ample sheaf. Our main source of inspiration is D. Mumford's "Geometric In- variant Theory". We will recall the necessary tools from his book 59] and prove the "Hilbert-Mumford Criterion" and some modified version for the stability of points under group actions. As in 78], a careful study of positivity proper- ties of direct image sheaves allows to use this criterion to construct moduli as quasi-projective schemes for canonically polarized manifolds and for polarized manifolds with a semi-ample canonical sheaf.

Modern Projective Geometry

Автор: Claude-Alain Faure; Alfred Fr?licher
Название: Modern Projective Geometry
ISBN: 0792365259 ISBN-13(EAN): 9780792365259
Издательство: Springer
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Цена: 102480.00 T
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Описание: Develops projective geometries and provides a systematic treatment of morphisms. This work introduces a fundamental theorem and its applications describing morphisms of projective geometries in homogeneous coordinates by semilinear maps. It is of interest to mathematicians and researchers whose work involves projective geometries.

Projective Geometry

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.


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