This book reports on an unconventional explanation of the origin of chaos in Hamiltonian dynamics and on a new theory of the origin of thermodynamic phase transitions. The mathematical concepts and methods used are borrowed from Riemannian geometry and from elementary differential topology, respectively. The new approach proposed also unveils deep connections between the two mentioned topics.
KeywordsLyapunov Exponent Topology Change Morse Function Phase Transition Point Large Lyapunov Exponent
Unable to display preview. Download preview PDF.