Book of Donmon Teith

Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators.

The heat kernel has long been an essential tool in both classical and modern mathematics but has become especially important in geometric analysis as a result o

In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations

This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on partial differential operators

This text discusses spectral graph theory.