ABSTRACT
This book proposes a new way of thinking. A way of thinking made necessary by the demands of contemporary science to understand complexity in multiple disciplines. Complexity entails the qualitative, as well as, the quantitative richness of phenomena, so that its scientific understanding must encompass both. In order to garner such understanding in a systematic way requires going beyond the traditional scientific method as the only way of knowing. Consequently the mathematical models of reality have been pushed to their limits and beyond, those which were developed and applied so successfully to the explanation and understanding of physical phenomena in the nineteenth and twentieth centuries are no longer adequate to describe the emergent phenomena of the twenty-first century. Herein we propose to adopt a fresh perspective entailed by the use of the fractional calculus.
