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Geometry

Most popular at the top

  • Local Analytic Geometryby Shreeram Shankar Abhyankar

    World Scientific Publishing Company 2001; US$ 154.00

    This book provides, for use in a graduate course or for self-study by graduate students, a well-motivated treatment of several topics, especially the following: (1) algebraic treatment of several complex variables; (2) geometric approach to algebraic geometry via analytic sets; (3) survey of local algebra; (4) survey of sheaf theory. The book has been... more...

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

    World Scientific Publishing Company 2014; US$ 150.00

    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...

  • Eichfeldtheorieby Helga Baum

    Springer 2014; US$ 39.99

    Dieses Lehrbuch bietet eine Einfuhrung in die Differentialgeometrie auf Faserbundeln. Nach einem Kapitel uber Lie-Gruppen und homogene Raume werden lokal-triviale Faserungen, insbesondere die Hauptfaserbundel und zu ihnen assoziierte Vektorbundel, besprochen. Es folgen die grundlegenden Begriffe der Differentialrechnung auf Faserbundeln: Zusammenhang,... more...

  • 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...

  • Transformational Plane Geometryby Ronald N. Umble; Zhigang Han

    CRC Press 2014; US$ 69.95

    Axioms of Euclidean Plane Geometry The Existence and Incidence Postulates The Distance and Ruler Postulates The Plane Separation Postulate The Protractor Postulate The Side-Angle-Side Postulate and the Euclidean Parallel Postulate Theorems of Euclidean Plane Geometry The Exterior Angle Theorem Triangle Congruence Theorems The Alternate... 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...