Tits Polygons, Bernhard Muhlherr, Richard M. Weiss

Автор: Jacques Tits; Richard M. Weiss
Название: Moufang Polygons
ISBN: 3642078338 ISBN-13(EAN): 9783642078330
Издательство: Springer
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Цена: 93130.00 T
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Описание: Spherical buildings are certain combinatorial simplicial complexes intro- duced, at first in the language of "incidence geometries," to provide a sys- tematic geometric interpretation of the exceptional complex Lie groups. (The definition of a building in terms of chamber systems and definitions of the various related notions used in this introduction such as "thick," "residue," "rank," "spherical," etc. are given in Chapter 39. ) Via the notion of a BN-pair, the theory turned out to apply to simple algebraic groups over an arbitrary field. More precisely, to any absolutely simple algebraic group of positive rela- tive rank is associated a thick irreducible spherical building of the same rank (these are the algebraic spherical buildings) and the main result of Buildings of Spherical Type and Finite BN-Pairs 101] is that the converse, for:::: 3, is almost true: (1. 1) Theorem. Every thick irreducible spherical building of rank at least three is classical, algebraic' or mixed. Classical buildings are those defined in terms of the geometry of a classical group (e. g. unitary, orthogonal, etc. of finite Witt index or linear of finite dimension) over an arbitrary field or skew-field. (These are not algebraic if, for instance, the skew-field is of infinite dimension over its center. ) Mixed buildings are more exotic; they are related to groups which are in some sense algebraic groups defined over a pair of fields k and K of characteristic p, where KP eke K and p is two or (in one case) three.

Автор: Akiyama Jin, Matsunaga Kiyoko
Название: Treks Into Intuitive Geometry: The World of Polygons and Polyhedra
ISBN: 4431567097 ISBN-13(EAN): 9784431567097
Издательство: Springer
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Цена: 55890.00 T
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Описание: This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects.

Автор: Hendrik,van Maldeghem
Название: Generalized Polygons
ISBN: 3034897898 ISBN-13(EAN): 9783034897891
Издательство: Springer
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Цена: 74530.00 T
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Описание: They are the prototypes and precursors of more general geometries such as partial geometries, partial quadrangles, semi-partial ge- ometries, near polygons, Moore geometries, etc. The main examples of generalized polygons are the natural geometries associated with groups of Lie type of relative rank 2.

Автор: Botsch
Название: Polygon Mesh Processing
ISBN: 1568814267 ISBN-13(EAN): 9781568814261
Издательство: Taylor&Francis
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Цена: 67360.00 T
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Описание: Describes the geometry processing pipeline based on polygonal meshes. This book introduces the fundamental concepts and discusses advanced techniques.

Автор: Regan Mike
Название: How to Polygon: Art and Geometry of Plane Tiling
ISBN: 148089186X ISBN-13(EAN): 9781480891869
Издательство: Неизвестно
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Цена: 25990.00 T
Наличие на складе: Невозможна поставка.
Описание:

Geometers ancient and modern have attributed mystical properties to certain numbers and shapes; and artists, designers, and craftspeople have used such patterns in their creations. Polygon tiling can produce astonishing, intricate beauty, reflecting designs originating in nature.

Tiles weave the space.
Patterns grow from seeds.
New cells fill the place:
Ground becomes the figure.
Waves of shapes vibrating
Swim beyond the page.
Time and Motion multiply.
Complexity, simplicity,
Sprout from repetitions.

How to Polygon demonstrates how various polygons fit together on a plane to make attractive, mesmerizing patterns. It offers explanations of the underlying concepts, supplemented with dazzling illustrations of some of the more unusual combinations, and outlines practical ways to create patterns based on the properties of the constituent polygons.

With a jaunty, fast-paced narration, author Mike Regan presents a clear and readable approach suitable for designers at any level of expertise, from novice to professional, and for numerous media: fabric design, paper cutouts, ceramic tiles, or wallpaper. The creative possibilities are endless.

Автор: Erasmus Landvogt
Название: A Compactification of the Bruhat-Tits Building
ISBN: 3540604278 ISBN-13(EAN): 9783540604273
Издательство: Springer
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Цена: 32600.00 T
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Описание: The aim of this work is the definition of the polyhedral compactification of the Bruhat-Tits building of a reductive group over a local field. In addition, an explicit description of the boundary is given and the construction of the Bruhat-Tits building itself is provided.

Автор: Titu Andreescu, Mark Saul
Название: Algebraic Inequalities: New Vistas
ISBN: 1470434644 ISBN-13(EAN): 9781470434649
Издательство: Mare Nostrum (Eurospan)
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Цена: 45980.00 T
Наличие на складе: Невозможна поставка.
Описание: This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not “linear”. The central topic of inequalities is linked to others in mathematics. Often these topics relate to much more than algebraic inequalities.There are also “secret” pathways through the book. Each chapter has a subtext, a theme which prepares the student for learning other mathematical topics, concepts, or habits of mind. For example, the early chapters on the arithmetic mean/geometric mean inequality show how very simple observations can be leveraged to yield useful and interesting results. Later chapters give examples of how one can generalize a mathematical statement. The chapter on the Cauchy-Schwarz inequality provides an introduction to vectors as mathematical objects. And there are many other secret pathways that the authors hope the reader will discover—and follow.In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Автор: Titu Andreescu, Oleg Mushkarov
Название: Topics in Geometric Inequalities
ISBN: 0999342835 ISBN-13(EAN): 9780999342831
Издательство: Mare Nostrum (Eurospan)
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Цена: 61910.00 T
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Описание: As a sequel to 113 Geometric Inequalities from the AwesomeMath Summer Program, this book extends the themes discussed in the former book and broadens a problem-solver`s competitive arsenal.

Автор: Andreescu Titu
Название: Quadratic Diophantine Equations
ISBN: 1493938800 ISBN-13(EAN): 9781493938803
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book reveiws the last two decades of computational techniques and progress in the classical theory of quadratic diophantine equations. Presents important quadratic diophantine equations and applications, and includes excellent examples and open problems.

Автор: Titu Andreescu, Vlad Cri?an
Название: 115 Trigonometry Problems from the AwesomeMath Summer Program
ISBN: 0999342800 ISBN-13(EAN): 9780999342800
Издательство: Mare Nostrum (Eurospan)
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Цена: 61910.00 T
Наличие на складе: Невозможна поставка.
Описание: Trigonometry finally receives the attention it deserves in this stand-alone book. The theory chapter is an invaluable pedagogical resource with lots of examples and guided exercises. The subsequent chapters offer a collection of carefully selected introductory through advanced problems and solutions intended to enhance the problem-solving skills of the reader.

Автор: Andreescu Titu
Название: Complex Numbers from A to Z
ISBN: 081768414X ISBN-13(EAN): 9780817684143
Издательство: Springer
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Цена: 51230.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Complex Numbers from A to ... Z