An Introduction to Incidence Geometry

Author: Bart De Bruyn

Publisher: Birkhäuser

ISBN: 3319438115

Category: Mathematics

Page: 372

View: 502

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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.
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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: 7972

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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.
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Frontiers of Numerical Analysis

Durham 2004

Author: James Blowey,Alan Craig

Publisher: Springer Science & Business Media

ISBN: 3540288848

Category: Computers

Page: 266

View: 8223

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Contains lecture notes on four topics at the forefront of research in computational mathematics. This book presents a self-contained guide to a research area, an extensive bibliography, and proofs of the key results. It is suitable for professional mathematicians who require an accurate account of research in areas parallel to their own.
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Frontiers in Differential Geometry, Partial Differential Equations and Mathematical Physics

In Memory of Gu Chaohao

Author: Molin Ge,Jiaxing Hong,Tatsien Li,Weiping Zhang

Publisher: World Scientific

ISBN: 981457810X

Category: Science

Page: 372

View: 4108

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This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime. All contributors to this book are close friends, colleagues and students of Gu Chaohao. They are all excellent experts among whom there are 9 members of the Chinese Academy of Sciences. Therefore this book will provide some important information on the frontiers of the related subjects. Contents:A Profile of the Late Professor Gu Chaohao (Tatsien Li)List of Publications of Gu ChaohaoIn Memory of Professor Gu Chaohao (Xiaqi Ding)In Memory of Professor Gu Chaohao (Gongqing Zhang (Kung-Ching Chang))Stability of E-H Mach Configuration in Pseudo-Steady Compressible Flow (Shuxing Chen)Incompressible Viscous Fluid Flows with Slip Boundary Conditions and Their Numerical Simulations (Ben-yu Guo)Global Existence and Uniqueness of the Solution for the Generalized Schrödinger-KdV System (Boling Guo, Bolin Ma & Jingjun Zhang)Anomaly Cancellation and Modularity (Fei Han, Kefeng Liu & Weiping Zhang)On Interior Estimates for Mean Curvature of Convex Surfaces in R3 and Its Applications (Jiaxing Hong)Geometric Invariant Theory of the Space — A Modern Approach to Solid Geometry (Wu-Yi Hsiang)Optimal Convergence Rate of the Binomial Tree Scheme for American Options and Their Free Boundaries (Lishang Jiang & Jin Liang)Rademacher Φ Function, Jacobi Symbols, Quantum and Classical Invariants of Lens Spaces (Bang-He Li & Tian-Jun Li)Historical Review on the Roles of Mathematics in the Study of Aerodynamics (Jiachun Li)Toward Chern–Simons Theory of Complexes on Calabi–Yau Threefolds (Jun Li)Exact Boundary Synchronization for a Coupled System of Wave Equations (Tatsien Li)Scaling Limit for Compressible Viscoelastic Fluids (Xianpeng Hu & Fang-Hua Lin)Uniqueness Modulo Reduction of Bergman Meromorphic Compactifications of Canonically Embeddable Bergman Manifolds (Ngaiming Mok)The Application of Conditional Nonlinear Optimal Perturbation to Targeted Observations for Tropical Cyclone Prediction (Mu Mu, Feifan Zhou, Xiaohao Qin & Boyu Chen)Isometric Immersions in Minkowski Spaces (Yi-Bing Shen)Remarks on Volume Growth for Minimal Graphs in Higher Codimension (Yuanlong Xin)Separation of Variables for the Lax Pair of the Bogomolny Equation in 2+1 Dimensional Anti-de Sitter Space-Time (Zi-Xiang Zhou) Readership: Mathematicians and advanced graduate students in mathematics. Key Features:In memory of the highly distinguished mathematician Gu ChaohaoThe contributors are excellent experts, including 9 members of the CASProvides some important information on Differential Geometry, Partial Differential Equations, Mathematical Physics, etcKeywords:Differential Geometry;Partial Differential Equations;Mathematical Physics
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Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction

Author: Carlos Castillo-Chavez,Sally Blower,Pauline van den Driessche,Denise Kirschner,Abdul-Aziz Yakubu

Publisher: Springer Science & Business Media

ISBN: 9780387953540

Category: Mathematics

Page: 368

View: 1601

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This book covers tutorial and research contributions on the use of dynamical systems and stochastic models in disease dynamics. Beginning graduate students in applied mathematics, scientists, or mathematicians who want to enter the fields of mathematical and theoretical epidemiology will find this book useful.
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Frontiers in Whiplash Trauma

Clinical and Biomechanical

Author: Narayan Yoganandan,Frank A. Pintar

Publisher: IOS Press

ISBN: 9781586030124

Category: Medical

Page: 590

View: 3806

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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.
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Frontiers in Cardiovascular Drug Discovery

Author: Atta-ur- Rahman,M. Iqbal Choudhary

Publisher: Bentham Science Publishers

ISBN: 1608051609

Category: Medical

Page: 348

View: 7859

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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 d
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Groups and Geometry

Author: Roger C. Lyndon

Publisher: Cambridge University Press

ISBN: 0521316944

Category: Mathematics

Page: 217

View: 3439

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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.
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Handbook of Incidence Geometry

Buildings and Foundations

Author: Francis Buekenhout

Publisher: North-Holland

ISBN: 9780444883551

Category: Mathematics

Page: 1420

View: 8088

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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.
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