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Geometry

Most popular at the top

  • Topics on Real and Complex Singularitiesby Satoshi Koike; Toshizumi Fukui; Laurentiu Paunescu; Adam Harris; Alexander Isaev

    World Scientific Publishing Company 2014; US$ 140.00

    A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized. For example, the Hamiltonian mechanics, soapy films, size of an atom, business management, etc. In mathematics, a point where a given function attains an extreme value is called a critical point,... more...

  • A Short Course in Computational Geometry and Topologyby Herbert Edelsbrunner

    Springer 2014; US$ 54.99

    This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence... more...

  • Lecture Notes on Mean Curvature Flowby Giovanni Bellettini

    Springer 2014; US$ 29.99

    The aim of the book is to study some aspects of geometric evolutions, such as mean curvature flow and anisotropic mean curvature flow of hypersurfaces. We analyze the origin of such flows and their geometric and variational nature. Some of the most important aspects of mean curvature flow are described, such as the comparison principle and its use... more...

  • Mumford-Tate Groups and Domainsby Mark Green; Phillip A. Griffiths; Matt Kerr

    Princeton University Press 2012; US$ 78.50

    Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate... more...

  • CliffsQuickReview Geometryby Edward Kohn

    Houghton Mifflin Harcourt 2011; US$ 9.99

    CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. From planes, points, and postulates to squares, spheres, and slopes ? and everything in between ?  CliffsQuickReview Geometry can help you make sense of it all. This... more...

  • Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142)by Curtis T. McMullen

    Princeton University Press 2014; US$ 75.00

    Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle. Both subjects are studied via geometric limits... more...

  • The Real Fatou Conjecture. (AM-144)by Jacek Graczyk; Grzegorz Swiatek

    Princeton University Press 2014; US$ 57.50

    In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of... more...

  • Transformational Plane Geometryby Ronald N. Umble; Zhigang Han

    Taylor and Francis 2014; US$ 69.95

    This text provides a one-semester introduction to transformational geometry based on Klein?s Erlangen Program, which offers an alternative to Euclid?s axiomatic/synthetic approach. The authors consider two families of transformations: isometries (distance-preserving transformations), including the translations, rotations, reflections, and glide reflections;... more...

  • Integral Geometry and Geometric Probabilityby Luis A. Santaló; Mark Kac

    Beijing World Publishing Corporation (BJWPC) 2004; US$ 74.00

    Classic text on integral geometry now available in paperback in the Cambridge Mathematical Library. more...

  • Algebreby N. Bourbaki

    Springer 2007; US$ 39.95

    Formes sesquilineaires et formes quadratiques Les Elements de mathematique de Nicolas BOURBAKI ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements. Ce neuvieme chapitre du Livre d Algebre, deuxieme Livre du traite, est consacre aux formes quadratiques, symplectiques ou hermitiennes et... more...