Geometric Aspects of Partial Differential Equations: Proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark

¡ Contemporary mathematics - American Mathematical Society āĻŦāĻ‡ 242 ¡ American Mathematical Soc.
āĻ‡-āĻŦā§āĻ•
269
āĻĒā§ƒāĻˇā§āĻ āĻž
āĻ°ā§‡āĻŸāĻŋāĻ‚ āĻ“ āĻ°āĻŋāĻ­āĻŋāĻ‰ āĻ¯āĻžāĻšāĻžāĻ‡ āĻ•āĻ°āĻž āĻšā§ŸāĻ¨āĻŋ  āĻ†āĻ°āĻ“ āĻœāĻžāĻ¨ā§āĻ¨

āĻāĻ‡ āĻ‡-āĻŦā§āĻ•ā§‡āĻ° āĻŦāĻŋāĻˇā§Ÿā§‡

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.

āĻ‡-āĻŦā§āĻ•ā§‡ āĻ°ā§‡āĻŸāĻŋāĻ‚ āĻĻāĻŋāĻ¨

āĻ†āĻĒāĻ¨āĻžāĻ° āĻŽāĻ¤āĻžāĻŽāĻ¤ āĻœāĻžāĻ¨āĻžāĻ¨āĨ¤

āĻĒāĻ āĻ¨ āĻ¤āĻĨā§āĻ¯

āĻ¸ā§āĻŽāĻžāĻ°ā§āĻŸāĻĢā§‹āĻ¨ āĻāĻŦāĻ‚ āĻŸā§āĻ¯āĻžāĻŦāĻ˛ā§‡āĻŸ
Android āĻāĻŦāĻ‚ iPad/iPhone āĻāĻ° āĻœāĻ¨ā§āĻ¯ Google Play āĻŦāĻ‡ āĻ…ā§āĻ¯āĻžāĻĒ āĻ‡āĻ¨āĻ¸ā§āĻŸāĻ˛ āĻ•āĻ°ā§āĻ¨āĨ¤ āĻāĻŸāĻŋ āĻ†āĻĒāĻ¨āĻžāĻ° āĻ…ā§āĻ¯āĻžāĻ•āĻžāĻ‰āĻ¨ā§āĻŸā§‡āĻ° āĻ¸āĻžāĻĨā§‡ āĻ…āĻŸā§‹āĻŽā§‡āĻŸāĻŋāĻ• āĻ¸āĻŋāĻ™ā§āĻ• āĻšā§Ÿ āĻ“ āĻ†āĻĒāĻ¨āĻŋ āĻ…āĻ¨āĻ˛āĻžāĻ‡āĻ¨ āĻŦāĻž āĻ…āĻĢāĻ˛āĻžāĻ‡āĻ¨ āĻ¯āĻžāĻ‡ āĻĨāĻžāĻ•ā§āĻ¨ āĻ¨āĻž āĻ•ā§‡āĻ¨ āĻ†āĻĒāĻ¨āĻžāĻ•ā§‡ āĻĒā§œāĻ¤ā§‡ āĻĻā§‡ā§ŸāĨ¤
āĻ˛ā§āĻ¯āĻžāĻĒāĻŸāĻĒ āĻ“ āĻ•āĻŽā§āĻĒāĻŋāĻ‰āĻŸāĻžāĻ°
Google Play āĻĨā§‡āĻ•ā§‡ āĻ•ā§‡āĻ¨āĻž āĻ…āĻĄāĻŋāĻ“āĻŦā§āĻ• āĻ†āĻĒāĻ¨āĻŋ āĻ•āĻŽā§āĻĒāĻŋāĻ‰āĻŸāĻžāĻ°ā§‡āĻ° āĻ“ā§Ÿā§‡āĻŦ āĻŦā§āĻ°āĻžāĻ‰āĻœāĻžāĻ°ā§‡ āĻļā§āĻ¨āĻ¤ā§‡ āĻĒāĻžāĻ°ā§‡āĻ¨āĨ¤
eReader āĻāĻŦāĻ‚ āĻ…āĻ¨ā§āĻ¯āĻžāĻ¨ā§āĻ¯ āĻĄāĻŋāĻ­āĻžāĻ‡āĻ¸
Kobo eReaders-āĻāĻ° āĻŽāĻ¤ā§‹ e-ink āĻĄāĻŋāĻ­āĻžāĻ‡āĻ¸ā§‡ āĻĒāĻĄāĻŧāĻ¤ā§‡, āĻ†āĻĒāĻ¨āĻžāĻ•ā§‡ āĻāĻ•āĻŸāĻŋ āĻĢāĻžāĻ‡āĻ˛ āĻĄāĻžāĻ‰āĻ¨āĻ˛ā§‹āĻĄ āĻ“ āĻ†āĻĒāĻ¨āĻžāĻ° āĻĄāĻŋāĻ­āĻžāĻ‡āĻ¸ā§‡ āĻŸā§āĻ°āĻžāĻ¨ā§āĻ¸āĻĢāĻžāĻ° āĻ•āĻ°āĻ¤ā§‡ āĻšāĻŦā§‡āĨ¤ āĻŦā§āĻ¯āĻŦāĻšāĻžāĻ°āĻ•āĻžāĻ°ā§€āĻ° āĻ‰āĻĻā§āĻĻā§‡āĻļā§āĻ¯ā§‡ āĻ¤ā§ˆāĻ°āĻŋ āĻ¸āĻšāĻžā§ŸāĻ¤āĻž āĻ•ā§‡āĻ¨ā§āĻĻā§āĻ°āĻ¤ā§‡ āĻĻā§‡āĻ“ā§ŸāĻž āĻ¨āĻŋāĻ°ā§āĻĻā§‡āĻļāĻžāĻŦāĻ˛ā§€ āĻ…āĻ¨ā§āĻ¸āĻ°āĻŖ āĻ•āĻ°ā§‡ āĻ¯ā§‡āĻ¸āĻŦ eReader-āĻ āĻĢāĻžāĻ‡āĻ˛ āĻĒāĻĄāĻŧāĻž āĻ¯āĻžāĻŦā§‡ āĻ¸ā§‡āĻ–āĻžāĻ¨ā§‡ āĻŸā§āĻ°āĻžāĻ¨ā§āĻ¸āĻĢāĻžāĻ° āĻ•āĻ°ā§āĻ¨āĨ¤

āĻ¸āĻŋāĻ°āĻŋāĻœ āĻĒāĻĄāĻŧāĻž āĻšāĻžāĻ˛āĻŋā§Ÿā§‡ āĻ¯āĻžāĻ¨

āĻāĻ•āĻ‡ āĻ§āĻ°āĻ¨ā§‡āĻ° āĻ‡-āĻŦā§āĻ•