Authors:Gerd Grubb, Krzysztof P. Wojciechowski, Bernhelm Boo
Publisher: American Mathematical Society
Keywords: manifolds, spectral, boundary, geometry, contemporary, mathematics, aug, proceedings, decomposition, workshop, denmark
Number of Pages: 328
Published: 2005-01
List price: $93.00
ISBN-10: 082183536X
ISBN-13: 9780821835364

In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operators on manifolds. This collection of papers, resulting from a Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, provides a broad picture of these methods with new results. Subjects in the book cover a wide variety of topics, from recent advances in index theory and the more general theory of spectral invariants on closed manifolds and manifolds with boundary, to applications of t

Authors:P. Constantin, C. Foias, B. Nicolaenko, R. Temam,
Publisher: Springer
Keywords: manifolds, applied, mathematical, sciences, equations, partial, inertial, dissipative, integral, differential
Number of Pages: 123
Published: 1988-10-25
List price: $79.95
ISBN-10: 038796729X
ISBN-13: 9780387967295

This work, the main results of which were announced in [CFNT], focuses on a new geometric explicit construction of inertial manifolds from integral manifolds generated by some initial finite dimensional surface. The method covers a large class of dissipative PDEs. The existence of a smooth integral manifold the closure of which is an inertial manifold M (i.e containing X and uniformly exponentially attracting) requires a more detailed analysis of the geometric properties of the infinite dimensional flow. The method is explicitly constructive, integrating forward in time and avoiding any fixed

Author: John M. Lee
Publisher: Springer
Keywords: manifolds, smooth, introduction
Number of Pages: 648
Published: 2002-09-23
List price: $64.95
ISBN-10: 0387954481
ISBN-13: 9780387954486

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract co

Author: Howard Iseri
Publisher: American Research Press
Keywords: manifolds, smarandache
Number of Pages: 95
Published: 2002-06
List price: $15.95
ISBN-10: 1931233446
ISBN-13: 9781931233446

A Smarandache Geometry (1969) is a geometric space (i.e., one with points, lines) such that some "axiom" is false in at least two different ways, or is false and also sometimes true. Such axiom is said to be Smarandachely denied (or S-denied for short). In Smarandache geometry, the intent is to study non-uniformity, so we require it in a very general way. A manifold that supports a such geometry is called Smarandache manifold (or s-manifold for short). As a special case, in this book Dr. Howard Iseri studies the s-manifold formed by any collection of (equilateral) triangular disk

Author: Loring W. Tu
Publisher: Springer
Keywords: universitext, manifolds, introduction
Number of Pages: 368
Published: 2007-10-29
List price: $54.95
ISBN-10: 0387480986
ISBN-13: 9780387480985

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its

Author: Lawrence Conlon
Publisher: Birkhäuser Boston
Keywords: manifolds, differentiable
Number of Pages: 432
Published: 2001-04-01
List price: $59.95
ISBN-10: 0817641343
ISBN-13: 9780817641344

The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. {Differentiable Manifolds} is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful

Author: Jet Nestruev
Publisher: Springer
Keywords: observables, manifolds, smooth
Number of Pages: 232
Published: 2002-10-04
List price: $79.95
ISBN-10: 0387955437
ISBN-13: 9780387955438

Smooth Manifolds and Observables is about the differential calculus, smooth manifolds, and commutative algebra. While these theories arose at different times and under completely different circumstances, this book demonstrates how they constitute a unified whole. The motivation behind this synthesis is the mathematical formalization of the process of observation in classical physics. The main objective of this book is to explain how differential calculus is a natural part of commutative algebra. This is achieved by studying the corresponding algebras of smooth functions that result in a gen