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Geometry

Most popular at the top

  • Tensor Analysis with Applications in Mechanicsby Leonid P. Lebedev; Michael J. Cloud; Victor A. Eremeyev

    World Scientific Publishing Company 2010; US$ 147.00

    The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that describe continuum bodies.... more...

  • Barycentric Calculus in Euclidean and Hyperbolic Geometryby Abraham Albert Ungar

    World Scientific Publishing Company 2010; US$ 134.00

    The word barycentric is derived from the Greek word barys (heavy), and refers to center of gravity. Barycentric calculus is a method of treating geometry by considering a point as the center of gravity of certain other points to which weights are ascribed. Hence, in particular, barycentric calculus provides excellent insight into triangle centers.... more...

  • Shadows of the Circleby V.L. Hansen

    World Scientific Publishing Company 1998; US$ 28.00

    The aim of this book is to throw light on various facets of geometry through development of four geometrical themes.The first theme is about the ellipse, the shape of the shadow cast by a circle. The next, a natural continuation of the first, is a study of all three types of conic sections, the ellipse, the parabola and the hyperbola.The third theme... more...

  • Abstract Homotopy and Simple Homotopy Theoryby K.H. Kamps; T. Porter

    World Scientific Publishing Company 1997; US$ 167.00

    The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many other categories (e.g. spaces over a fixed base, groupoids, chain complexes, module categories). Studying categorical versions of homotopy structure, such as cylinders and path space constructions,... more...

  • 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...

  • 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...

  • Topics in Elementary Geometryby O. Bottema; Reinie Erne

    Springer 2009; US$ 44.95

    Presents classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and Poncelet's polygons. This book contains geometric theorems and covers a range of topics in elementary plane Euclidean geometry. more...

  • Automorphisms in Birational and Affine Geometryby Ivan Cheltsov; Ciro Ciliberto; Hubert Flenner; James McKernan; Yuri G. Prokhorov; Mikhail Zaidenberg

    Springer 2014; US$ 169.00

    The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic... 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...