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Geometry

Most popular at the top

  • The Global Nonlinear Stability of the Minkowski Space (PMS-41)by Demetrios Christodoulou; Sergiu Klainerman

    Princeton University Press 2014; US$ 83.95

    The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities.... more...

  • Differential Geometry of Complex Vector Bundlesby Shoshichi Kobayashi

    Princeton University Press 2014; US$ 50.50

    Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate... 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...

  • Geometry and its Applicationsby Vladimir Rovenski; Paweł Walczak;

    Springer 2014; US$ 139.00

    This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical systems, including... 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...

  • Komplexe Zahlen und ebene Geometrieby Joachim Engel; Andreas Fest

    De Gruyter 2015; US$ 630.00

    This book is an introduction to the arithmetic of complex numbers, and explains their role in solving equations in both plane and non-Euclidean geometry. Exercises with solutions are included in every chapter and the textbook is rounded out with an appendix on calculating with complex numbers and conformal transformations in MAPLE and Cinderella. more...

  • Recent Advances in Algebraic Geometryby Christopher D. Hacon; Mircea Mustata; Mihnea Popa

    Cambridge University Press 2015; US$ 79.00

    A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry. more...

  • Applied Differential Geometryby William L. Burke

    Cambridge University Press 1985; US$ 88.00

    This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of... more...

  • Machine Intelligence and Pattern Recognitionby Godfried T. Toussaint

    Elsevier Science 2014; US$ 72.95

    Machine Intelligence and Pattern Recognition, Volume 2: Computational Geometry focuses on the operations, processes, methodologies, and approaches involved in computational geometry, including algorithms, polygons, convex hulls, and bucketing techniques. The selection first ponders on optimal parallel algorithms for selection, sorting, and computing... more...

  • Geometry from Euclid to Knotsby Saul Stahl

    Dover Publications 2012; US$ 22.95

    Designed to inform readers about the formal development of Euclidean geometry and to prepare prospective high school mathematics instructors to teach Euclidean geometry, this text closely follows Euclid's classic, Elements. The text augments Euclid's statements with appropriate historical commentary and many exercises ? more than 1,000 practice... more...