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Geometry

  • Difference Equations by Differential Equation Methodsby Peter E. Hydon

    Cambridge University Press 2014; US$ 52.00

    Straightforward introduction for non-specialists and experts alike. Explains how to derive solutions, first integrals and conservation laws of difference equations. 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...

  • Shafarevich Maps and Automorphic Formsby János Kollár

    Princeton University Press 2014; US$ 33.95

    The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for much interplay between methods of algebraic geometry, complex analysis, the theory of harmonic maps, and topology. Making systematic use of Shafarevich maps, a concept previously... more...

  • Topics in Non-Commutative Geometryby Y. Manin

    Princeton University Press 2014; US$ 29.95

    There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application... more...

  • D-Modules and Spherical Representations. (MN-39)by Frédéric V. Bien

    Princeton University Press 2014; US$ 29.95

    The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations... 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...

  • Plateau's Problem and the Calculus of Variations. (MN-35)by Michael Struwe

    Princeton University Press 2014; US$ 29.95

    This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of prescribed constant mean curvature ("H-surfaces") and its analytical framework. A comprehensive overview of the classical existence and regularity theory for disc-type minimal and H-surfaces is given and recent... more...

  • Existence and Regularity of Minimal Surfaces on Riemannian Manifolds. (MN-27)by Jon T. Pitts

    Princeton University Press 2014; US$ 52.95

    Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in... more...

  • Hypo-Analytic Structuresby François Treves

    Princeton University Press 2014; US$ 83.95

    In Hypo-Analytic Structures Franois Treves provides a systematic approach to the study of the differential structures on manifolds defined by systems of complex vector fields. Serving as his main examples are the elliptic complexes, among which the De Rham and Dolbeault are the best known, and the tangential Cauchy-Riemann operators. Basic geometric... more...

  • Solutions Manual to Accompany Classical Geometryby I. E. Leonard; J. E. Lewis; A. C. F. Liu; G. W. Tokarsky

    Wiley 2014; US$ 29.95

    Solutions Manual to accompany Classical Geometry: Euclidean, Transformational, Inversive, and Projective Written by well-known mathematical problem solvers, Classical Geometry: Euclidean, Transformational, Inversive, and Projective features up-to-date and applicable coverage of the wide spectrum of geometry and aids readers in learning the... more...