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Books in Geometry

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41-45 of 45 results in All results

Geometry of Numbers

  • 2nd Edition
  • Volume 37
  • May 1, 1987
  • C.G. Lekkerkerker + 1 more
  • English
  • eBook
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This volume contains a fairly complete picture of the geometry of numbers, including relations to other branches of mathematics such as analytic number theory, diophantine approximation, coding and numerical analysis. It deals with convex or non-convex bodies and lattices in euclidean space, etc.This second edition was prepared jointly by P.M. Gruber and the author of the first edition. The authors have retained the existing text (with minor corrections) while adding to each chapter supplementary sections on the more recent developments. While this method may have drawbacks, it has the definite advantage of showing clearly where recent progress has taken place and in what areas interesting results may be expected in the future.

Eigenvalues in Riemannian Geometry

  • 2nd Edition
  • Volume 115
  • November 7, 1984
  • Isaac Chavel
  • English
  • Hardback
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  • eBook
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The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.

Groups & Geometric Analysis

  • 1st Edition
  • Volume 113
  • June 30, 1984
  • Sigurdur Helgason
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 4 3 2 - 6

Semi-Riemannian Geometry With Applications to Relativity

  • 1st Edition
  • Volume 103
  • June 28, 1983
  • Barrett O'Neill
  • English
  • Hardback
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  • eBook
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This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.

Differential Geometry, Lie Groups, and Symmetric Spaces

  • 1st Edition
  • Volume 80
  • February 9, 1979
  • Sigurdur Helgason
  • English
  • eBook
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The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.