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book (6)


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English (6)


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2016 (6)

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Book
An introduction to incidence geometry
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ISBN: 9783319438108 Year: 2016 Publisher: Cham : Springer,

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Book
An Introduction to Incidence Geometry
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ISBN: 3319438107 3319438115 Year: 2016 Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser,

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This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of the mathematical techniques that are essential for their study. The families of geometries covered in this book include among others the generalized polygons, near polygons, polar spaces, dual polar spaces and designs. Also the various relationships between these geometries are investigated. Ovals and ovoids of projective spaces are studied and some applications to particular geometries will be given. A separate chapter introduces the necessary mathematical tools and techniques from graph theory. This chapter itself can be regarded as a self-contained introduction to strongly regular and distance-regular graphs. This book is essentially self-contained, only assuming the knowledge of basic notions from (linear) algebra and projective and affine geometry. Almost all theorems are accompanied with proofs and a list of exercises with full solutions is given at the end of the book. This book is aimed at graduate students and researchers in the fields of combinatorics and incidence geometry.


Book
Projective Geometry : Solved Problems and Theory Review
Authors: --- ---
ISBN: 3319428241 3319428233 Year: 2016 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This book starts with a concise but rigorous overview of the basic notions of projective geometry, using straightforward and modern language. The goal is not only to establish the notation and terminology used, but also to offer the reader a quick survey of the subject matter. In the second part, the book presents more than 200 solved problems, for many of which several alternative solutions are provided. The level of difficulty of the exercises varies considerably: they range from computations to harder problems of a more theoretical nature, up to some actual complements of the theory. The structure of the text allows the reader to use the solutions of the exercises both to master the basic notions and techniques and to further their knowledge of the subject, thus learning some classical results not covered in the first part of the book. The book addresses the needs of undergraduate and graduate students in the theoretical and applied sciences, and will especially benefit those readers with a solid grasp of elementary Linear Algebra.


Book
Continuous Geometry
Authors: ---
ISBN: 1400883954 Year: 2016 Publisher: Princeton, NJ : Princeton University Press,

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In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, von Neumann founded the field of continuous geometry. This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry, dimension theory, and--for the irreducible case--the function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries, for which irreducibility is not assumed. For students and researchers interested in ring theory or projective geometries, this book is required reading.


Book
General Galois Geometries
Authors: ---
ISBN: 1447167880 1447167902 Year: 2016 Publisher: London : Springer London : Imprint: Springer,

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This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). This revised edition includes much updating and new material. It is a mostly self-contained study of classical varieties over a finite field, related incidence structures and particular point sets in finite n-dimensional projective spaces. General Galois Geometries is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level.


Book
Analysis of Electrical Circuits with Variable Load Regime Parameters : Projective Geometry Method
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ISBN: 3319284509 3319284517 Year: 2016 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This book introduces electric circuits with variable loads and voltage regulators. It allows to define invariant relationships for various parameters of regime and circuit sections and to prove the concepts characterizing these circuits. The book presents the fundamentals of electric circuits and develops circuit theorems. Generalized equivalent circuits are introduced. Projective geometry is used for the interpretation of changes of operating regime parameters. Expressions of normalized regime parameters and their changes are presented. Convenient formulas for the calculation of currents are given. Parallel voltage sources and the cascade connection of multi-port networks are described. The two-value voltage regulation characteristics of loads with limited power of voltage source is considered. This second edition is extended and contains additional chapters on circuits with non-linear regulation curves, circuits with non-linear load characteristics, concepts of power-source and power-load elements with two-valued characteristics, quasi-resonant voltage converters with self-limitation of current as well as the similarity of characteristics of converters and electronic devices. This book is useful to engineers, researchers and graduate students who are interested in the basic electric circuit theory and the regulation and monitoring of power supply systems. .

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