Spectral Theory and Geometry

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This volume brings together lectures from an instructional meeting on spectral theory and geometry held under the auspices of the International Centre for Mathematical Sciences in Edinburgh. The contributions here come from world experts and many are much expanded versions of the lectures they gave. Together they survey the core material and go beyond to reach deeper results. For graduate students and experts alike, this book will be a highly useful resource.Table of contents:1. Basic Riemannian geometry F. E. Burstall; 2. The Laplacian on Riemannian manifolds I. Chavel; 3. Computational spect...