http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
introduction to differentiable manifolds and Riemannian geometry
1 online resource (xvi, 430 pages) : illustrations
This is a revised printing of one of the classic mathematics texts published in the last 25 years. This revised edition includes updated references and indexes and error corrections and will continue to serve as the standard text for students and professionals in the field. Differential manifolds are the underlying objects of study in much of advanced calculus and analysis. Topics such as line and surface integrals, divergence and curl of vector fields, and Stokeand#39;s and Greenand#39;s theorems find their most natural setting in manifold theory. Riemannian plane geometry can be visualized a.
Front Cover; An Introduction to Differentiable Manifolds and Riemannian Geometry; Copyright Page; Contents; Preface to the Second Edition; Preface to the First Edition; Chapter I. Introduction to Manifolds; Chapter II. Functions of Several Variables and Mappings; Chapter III. Differentiable Manifolds and Submanifolds; Chapter IV. Vector Fields on a Manifold; Chapter V. Tensors and Tensor Fields on Manifolds; Chapter VI. Integration on Manifolds; Chapter VII. Differentiation on Riemannian Manifolds; Chapter VIII. Curvature; References; Index.
Includes bibliographical references (pages 417-422) and index.
Boothby, William M. (William Munger), 1918-
Pure and applied mathematics (Academic Press) ; 120
164025:164217 Elsevier Science & Technology