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Books in Geometry

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11-20 of 45 results in All results

Algebraical and Topological Foundations of Geometry

  • 1st Edition
  • May 9, 2014
  • Hans Freudenthal
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 8 4 6 4 - 7
Algebraical and Topological Foundations of Geometry contains the proceedings of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers review the algebraical and topological foundations of geometry and cover topics ranging from the geometric algebra of the Möbius plane to the theory of parallels with applications to closed geodesies. Groups of homeomorphisms and topological descriptive planes are also discussed. Comprised of 26 chapters, this book introduces the reader to the theory of parallels with applications to closed geodesies; groups of homeomorphisms; complemented modular lattices; and topological descriptive planes. Subsequent chapters focus on collineation groups; exceptional algebras and exceptional groups; the connection between algebra and constructions with ruler and compasses; and the use of differential geometry and analytic group theory methods in foundations of geometry. Von Staudt projectivities of Moufang planes are also considered, and an axiomatic treatment of polar geometry is presented. This monograph will be of interest to students of mathematics.

Dynamical Systems and Microphysics

  • 1st Edition
  • November 12, 2012
  • Andre Avez
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 3 9 5 2 - 6
Dynamical Systems and Microphysics: Geometry and Mechanics contains the proceedings of the Second International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held at the International Center for Mechanical Sciences in Udine, Italy on September 1-11, 1981. Contributors explore the geometry and mechanics of dynamical systems and microphysics and cover topics ranging from Lagrangian submanifolds and optimal control theory to Hamiltonian mechanics, linear dynamical systems, and the quantum theory of measurement. This volume is organized into six sections encompassing 30 chapters and begins with an introduction to geometric structures, mechanics, and general relativity. It considers an approach to quantum mechanics through deformation of the symplectic structure, giving a striking insight into the correspondence principle. The chapters that follow focus on the gauge invariance of the Einstein field, group treatment of the space of orbits in the Kepler problem, and stable configurations in nonlinear problems arising from physics. This book is intended for researchers and graduate students in theoretical physics, mechanics, control and system theory, and mathematics. It will also be profitably read by philosophers of science and, to some extent, by persons who have a keen interest in basic questions of contemporary mechanics and physics and some background in the physical and mathematical sciences.

Boundary Value Problems For Second Order Elliptic Equations

  • 1st Edition
  • November 12, 2012
  • A.V. Bitsadze
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 6 2 2 6 - 5
Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. The opening chapter deals with the fundamental aspects of the linear equations theory in normed linear spaces. This topic is followed by discussions on solutions of elliptic equations and the formulation of Dirichlet problem for a second order elliptic equation. A chapter focuses on the solution equation for the directional derivative problem. Another chapter surveys the formulation of the Poincaré problem for second order elliptic systems in two independent variables. This chapter also examines the theory of one-dimensional singular integral equations that allow the investigation of highly important classes of boundary value problems. The final chapter looks into other classes of multidimensional singular integral equations and related boundary value problems.

Geometric Measure Theory

  • 4th Edition
  • September 9, 2008
  • Frank Morgan
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 2 2 4 0 - 9
Geometric Measure Theory, Fourth Edition, is an excellent text for introducing ideas from geometric measure theory and the calculus of variations to beginning graduate students and researchers.This updated edition contains abundant illustrations, examples, exercises, and solutions; and the latest results on soap bubble clusters, including a new chapter on Double Bubbles in Spheres, Gauss Space, and Tori. It also includes a new chapter on Manifolds with Density and Perelman's Proof of the Poincaré Conjecture.This text is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Morgan emphasizes geometry over proofs and technicalities providing a fast and efficient insight into many aspects of the subject.

Geometry and Its Applications

  • 2nd Edition
  • February 21, 2006
  • Walter A. Meyer
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 3 6 9 4 2 7 - 0
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 7 8 0 3 - 6
Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers.

The Geometrical Tolerancing Desk Reference

  • 1st Edition
  • July 20, 2005
  • Paul Green
  • English
  • Paperback
    9 7 8 - 0 - 7 5 0 6 - 6 8 2 1 - 7
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 6 0 8 5 - 7
Geometrical tolerancing is the standard technique that designers and engineers use to specify and control the form, location and orientation of the features of components and manufactured parts. This innovative book has been created to simplify and codify the use and understanding of geometrical tolerancing. It is a complete, self contained reference for daily use. An indispensable guide for anyone who creates or needs to understand technical drawings.

Basic Structured Grid Generation

  • 1st Edition
  • February 11, 2003
  • M Farrashkhalvat + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 7 2 0 8 - 9
Finite element, finite volume and finite difference methods use grids to solve the numerous differential equations that arise in the modelling of physical systems in engineering. Structured grid generation forms an integral part of the solution of these procedures. Basic Structured Grid Generation provides the necessary mathematical foundation required for the successful generation of boundary-conforming grids and will be an important resource for postgraduate and practising engineers.The treatment of structured grid generation starts with basic geometry and tensor analysis before moving on to identify the variety of approaches that can be employed in the generation of structured grids. The book then introduces unstructured grid generation by explaining the basics of Delaunay triangulation and advancing front techniques.

Handbook of Complex Analysis

  • 1st Edition
  • December 5, 2002
  • Reiner Kuhnau
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 8 2 8 4 5 - 3
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 2 8 1 - 3
Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.

Fractal Geometry

  • 1st Edition
  • September 1, 2002
  • J M Blackledge + 2 more
  • English
  • Paperback
    9 7 8 - 1 - 9 0 4 2 7 5 - 0 0 - 8
  • eBook
    9 7 8 - 0 - 8 5 7 0 9 - 9 5 9 - 4
International authorities from Canada, Denmark, England, Germany, Russia and South Africa focus on research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis. They address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry: i.e., remote sensing, mapping, texture creations, pattern recognition, image compression, aeromechanical systems, cryptography and financial analysis. Economically priced, this important and authoritative reference source for research and study cites over 230 references to the literature, copiously illustrated with over 320 diagrams and photographs. The book is published for The Institute of Mathematics and its Applications, co-sponsored with The Institute of Physics and The Institution of Electrical Engineers.

Handbook of Geometric Topology

  • 1st Edition
  • December 20, 2001
  • R.B. Sher + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 8 2 4 3 2 - 5
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 2 8 5 - 1
Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.