Geometric Aspects of Partial Differential Equations is popular PDF and ePub book, written by Krzysztof Wojciechowski in 1999, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometric Aspects of Partial Differential Equations can be Read Online from any device for your convenience.
Geometric Aspects of Partial Differential Equations Book PDF Summary
This collection of papers by leading researchers gives a broad picture of current research directions in geometric aspects of partial differential equations. Based on lectures presented at a Minisymposium on Spectral Invariants - Heat Equation Approach, held in September 1998 at Roskilde University in Denmark, the book provides both a careful exposition of new perspectives in classical index theory and an introduction to currently active areas of the field. Presented here are new index theorems as well as new calculations of the eta-invariant, of the spectral flow, of the Maslov index, of Seiberg-Witten monopoles, heat kernels, determinants, non-commutative residues, and of the Ray-Singer torsion. New types of boundary value problems for operators of Dirac type and generalizations to manifolds with cuspidal ends, to non-compact and to infinite-dimensional manifolds are also discussed. Throughout the book, the use of advanced analysis methods for gaining geometric insight emerges as a central theme. Aimed at graduate students and researchers, this book would be suitable as a text for an advanced graduate topics course on geometric aspects of partial differential equations and spectral invariants.
Detail Book of Geometric Aspects of Partial Differential Equations PDF
- Author : Krzysztof Wojciechowski
- Release : 30 September 1999
- Publisher : American Mathematical Soc.
- ISBN : 9780821820612
- Genre : Mathematics
- Total Page : 282 pages
- Language : English
- PDF File Size : 7,9 Mb
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