Search Results for "an-introduction-to-incidence-geometry-frontiers-in-mathematics"

An Introduction to Incidence Geometry

An Introduction to Incidence Geometry

  • Author: Bart De Bruyn
  • Publisher: Birkhäuser
  • ISBN: 3319438115
  • Category: Mathematics
  • Page: 372
  • View: 4722
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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.

Frontiers in Numerical Analysis

Frontiers in Numerical Analysis

Durham 2002

  • Author: James Blowey,Alan Craig,Tony Shardlow
  • Publisher: Springer Science & Business Media
  • ISBN: 3642556922
  • Category: Mathematics
  • Page: 354
  • View: 4057
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A set of detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area. Detailed proofs of key results are provided. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians.

Frontiers of Numerical Analysis

Frontiers of Numerical Analysis

Durham 2004

  • Author: James Blowey,Alan Craig
  • Publisher: Springer Science & Business Media
  • ISBN: 3540288848
  • Category: Computers
  • Page: 266
  • View: 1454
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Configurations from a Graphical Viewpoint

Configurations from a Graphical Viewpoint

  • Author: Tomaz Pisanski,Brigitte Servatius
  • Publisher: Springer Science & Business Media
  • ISBN: 0817683631
  • Category: Mathematics
  • Page: 279
  • View: 4962
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Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration. In this self-contained textbook, algebraic graph theory is used to introduce groups; topological graph theory is used to explore surfaces; and geometric graph theory is implemented to analyze incidence geometries. After a preview of configurations in Chapter 1, a concise introduction to graph theory is presented in Chapter 2, followed by a geometric introduction to groups in Chapter 3. Maps and surfaces are combinatorially treated in Chapter 4. Chapter 5 introduces the concept of incidence structure through vertex colored graphs, and the combinatorial aspects of classical configurations are studied. Geometric aspects, some historical remarks, references, and applications of classical configurations appear in the last chapter. With over two hundred illustrations, challenging exercises at the end of each chapter, a comprehensive bibliography, and a set of open problems, Configurations from a Graphical Viewpoint is well suited for a graduate graph theory course, an advanced undergraduate seminar, or a self-contained reference for mathematicians and researchers.

Groups and Geometry

Groups and Geometry

  • Author: Roger C. Lyndon
  • Publisher: Cambridge University Press
  • ISBN: 0521316944
  • Category: Mathematics
  • Page: 217
  • View: 8410
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This 1985 book is an introduction to certain central ideas in group theory and geometry. Professor Lyndon emphasises and exploits the well-known connections between the two subjects and leads the reader to the frontiers of current research at the time of publication.

Frontiers in Whiplash Trauma

Frontiers in Whiplash Trauma

Clinical and Biomechanical

  • Author: Narayan Yoganandan,Frank A. Pintar
  • Publisher: IOS Press
  • ISBN: 9781586030124
  • Category: Medical
  • Page: 590
  • View: 2899
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A discussion of whiplash trauma. The work brings together experts working in the areas of epidemiology, biomechanics, experimental and analytical research, physical modelling, and clinical aspects of whiplash injury.

Frontiers in Cardiovascular Drug Discovery

Frontiers in Cardiovascular Drug Discovery

  • Author: Atta-ur- Rahman,M. Iqbal Choudhary
  • Publisher: Bentham Science Publishers
  • ISBN: 1608051609
  • Category: Medical
  • Page: 339
  • View: 2335
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"Frontiers in Cardiovascular Drug Discovery" is an Ebook series devoted to publishing the latest and the most important advances in Cardiovascular drug design and discovery. Eminent scientists write contributions on all areas of rational drug design and drug discovery including medicinal chemistry, in-silico drug design, combinatorial chemistry, high-throughput screening, drug targets, recent important patents, and structure-activity relationships. the Ebook series should prove to be of interest to all pharmaceutical scientists involved in research in cardiovascular drug design and discovery. Each volume is devoted to the major advances in cardiovascular drug design and discovery. the Ebook series is essential reading to all scientists involved in drug design and discovery who wish to keep abreast of rapid and important developments in the field.

The Publishers' Trade List Annual

The Publishers' Trade List Annual

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 3794
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Introduction to Complex Theory of Differential Equations

Introduction to Complex Theory of Differential Equations

  • Author: Anton Savin,Boris Sternin
  • Publisher: Birkhäuser
  • ISBN: 3319517449
  • Category: Mathematics
  • Page: 138
  • View: 3415
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This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifolds. Although the theory of differential equations on real manifolds is well known – it is described in thousands of papers and its usefulness requires no comments or explanations – to date specialists on differential equations have not focused on the complex theory of partial differential equations. However, as well as being remarkably beautiful, this theory can be used to solve a number of problems in real theory, for instance, the Poincaré balayage problem and the mother body problem in geophysics. The monograph does not require readers to be familiar with advanced notions in complex analysis, differential equations, or topology. With its numerous examples and exercises, it appeals to advanced undergraduate and graduate students, and also to researchers wanting to familiarize themselves with the subject.

Handbook of Incidence Geometry

Handbook of Incidence Geometry

Buildings and Foundations

  • Author: Francis Buekenhout
  • Publisher: North-Holland
  • ISBN: 9780444883551
  • Category: Mathematics
  • Page: 1420
  • View: 2927
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This Handbook deals with the foundations of incidence geometry, in relationship with division rings, rings, algebras, lattices, groups, topology, graphs, logic and its autonomous development from various viewpoints. Projective and affine geometry are covered in various ways. Major classes of rank 2 geometries such as generalized polygons and partial geometries are surveyed extensively. More than half of the book is devoted to buildings at various levels of generality, including a detailed and original introduction to the subject, a broad study of characterizations in terms of points and lines, applications to algebraic groups, extensions to topological geometry, a survey of results on diagram geometries and nearby generalizations such as matroids.

The Athenaeum

The Athenaeum

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category:
  • Page: N.A
  • View: 8806
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Using the Borsuk-Ulam Theorem

Using the Borsuk-Ulam Theorem

Lectures on Topological Methods in Combinatorics and Geometry

  • Author: Jiri Matousek
  • Publisher: Springer Science & Business Media
  • ISBN: 3540766499
  • Category: Mathematics
  • Page: 214
  • View: 9747
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To the uninitiated, algebraic topology might seem fiendishly complex, but its utility is beyond doubt. This brilliant exposition goes back to basics to explain how the subject has been used to further our understanding in some key areas. A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. This book is the first textbook treatment of a significant part of these results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level. No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained.

The Athenaeum

The Athenaeum

  • Author: James Silk Buckingham,John Sterling,Frederick Denison Maurice,Henry Stebbing,Charles Wentworth Dilke,Thomas Kibble Hervey,William Hepworth Dixon,Norman Maccoll,Vernon Horace Rendall,John Middleton Murry
  • Publisher: N.A
  • ISBN: N.A
  • Category:
  • Page: N.A
  • View: 7872
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The Athenæum

The Athenæum

A Journal of Literature, Science, the Fine Arts, Music, and the Drama

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category:
  • Page: N.A
  • View: 8055
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Real-World Problems for Secondary School Mathematics Students

Real-World Problems for Secondary School Mathematics Students

  • Author: Juergen Maasz,John O’Donoghue
  • Publisher: Springer Science & Business Media
  • ISBN: 9460915434
  • Category: Education
  • Page: 281
  • View: 4647
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This is a book full of ideas for introducing real world problems into mathematics classrooms and assisting teachers and students to benefit from the experience. Taken as a whole these contributions provide a rich resource for mathematics teachers and their students that is readily available in a single volume. Nowadays there is a universal emphasis on teaching for understanding, motivating students to learn mathematics and using real world problems to improve the mathematics experience of school students. However, using real world problems in mathematics classrooms places extra demands on teachers in terms of extra-mathematical knowledge e.g. knowledge of the area of applications, and pedagogical knowledge. Care must also be taken to avoid overly complex situations and applications. Papers in this collection offer a practical perspective on these issues, and more. While many papers offer specific well worked out lesson type ideas, others concentrate on the teacher knowledge needed to introduce real world applications of mathematics into the classroom. We are confident that mathematics teachers who read the book will find a myriad of ways to introduce the material into their classrooms whether in ways suggested by the contributing authors or in their own ways, perhaps through mini-projects or extended projects or practical sessions or enquiry based learning. We are happy if they do! This book is written for mathematics classroom teachers and their students, mathematics teacher educators, and mathematics teachers in training at pre-service and in-service phases of their careers.

Geometry and Billiards

Geometry and Billiards

  • Author: Serge Tabachnikov
  • Publisher: American Mathematical Soc.
  • ISBN: 0821839195
  • Category: Mathematics
  • Page: 176
  • View: 4628
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This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics. The book is based on an advanced undergraduate topics course (but contains more material than can be realistically taught in one semester). Although the minimum prerequisites include only the standard material usually covered in the first two years of college (the entire calculus sequence, linear algebra), readers should show some mathematical maturity and strongly rely on their mathematical common sense. As a reward, they will be taken to the forefront of current research.

Mathematical Reviews

Mathematical Reviews

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 5119
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Symmetry in Finite Generalized Quadrangles

Symmetry in Finite Generalized Quadrangles

  • Author: Koen Thas
  • Publisher: Springer Science & Business Media
  • ISBN: 9783764361587
  • Category: Mathematics
  • Page: 214
  • View: 8264
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In this monograph finite generalized quadrangles are classified by symmetry, generalizing the celebrated Lenz-Barlotti classification for projective planes. The book is self-contained and serves as introduction to the combinatorial, geometrical and group-theoretical concepts that arise in the classification and in the general theory of finite generalized quadrangles, including automorphism groups, elation and translation generalized quadrangles, generalized ovals and generalized ovoids, span-symmetric generalized quadrangles, flock geometry and property (G), regularity and nets, split BN-pairs of rank 1, and the Moufang property.

Category Theory in Context

Category Theory in Context

  • Author: Emily Riehl
  • Publisher: Courier Dover Publications
  • ISBN: 0486820807
  • Category: Mathematics
  • Page: 272
  • View: 4145
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Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.

Inconsistent Mathematics

Inconsistent Mathematics

  • Author: C.E. Mortensen
  • Publisher: Springer Science & Business Media
  • ISBN: 9401584532
  • Category: Mathematics
  • Page: 158
  • View: 3812
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without a properly developed inconsistent calculus based on infinitesimals, then in consistent claims from the history of the calculus might well simply be symptoms of confusion. This is addressed in Chapter 5. It is further argued that mathematics has a certain primacy over logic, in that paraconsistent or relevant logics have to be based on inconsistent mathematics. If the latter turns out to be reasonably rich then paraconsistentism is vindicated; while if inconsistent mathematics has seri ous restriytions then the case for being interested in inconsistency-tolerant logics is weakened. (On such restrictions, see this chapter, section 3. ) It must be conceded that fault-tolerant computer programming (e. g. Chapter 8) finds a substantial and important use for paraconsistent logics, albeit with an epistemological motivation (see this chapter, section 3). But even here it should be noted that if inconsistent mathematics turned out to be functionally impoverished then so would inconsistent databases. 2. Summary In Chapter 2, Meyer's results on relevant arithmetic are set out, and his view that they have a bearing on G8del's incompleteness theorems is discussed. Model theory for nonclassical logics is also set out so as to be able to show that the inconsistency of inconsistent theories can be controlled or limited, but in this book model theory is kept in the background as much as possible. This is then used to study the functional properties of various equational number theories.