Calculus Mysteries And Thrillers

<i>This book presents a functional calculus for <i>n</i>-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.

This book offers a primer on the fundamentals and applications of the Geroch-Held-Penrose (GHP) calculus, a powerful formalism designed for spacetimes that occur frequently in the teaching of General Relativity. Specifically, the book shows in detail the power of the calculus when dealing with spherically symmetric spacetimes. After introducing the basics, a new look at all the classical spherically symmetric black hole solutions is given within the GHP formalism. This is then employed to give new insights into the Tolman-Oppenheimer-Volkoff equations for stellar structure, including a derivation of new exact anisotropic fluid solutions. Finally, a re-writing of some essential features of black hole thermodynamics within the GHP formalism is performed. The book is based on the authors' lecture notes, used in their undergraduate and graduate lectures and while supervising their upper undergraduate and graduate students. To fully benefit from this concise primer, readers only need an undergraduate background in general relativity.

This complete, authoritative study of the growing discipline of archaeoastronomy examines the role of astronomy in antiquity. Professor Guilio Magli provides a clear, up-to-date survey of current thinking on the motives of the ancients for building fabulous and mysterious monuments all over our planet. Was it an attempt to reproduce the sky on Earth? To bring down the power of the stars to where they could see it, worship it, and use it? The connecting thread is astronomy. Magli uses astronomy as a key to understanding our ancestors’ way of thinking. It is a challenge he likes to call "predicting the past."

This complete, authoritative study of the growing discipline of archaeoastronomy examines the role of astronomy in antiquity. Professor Guilio Magli provides a clear, up-to-date survey of current thinking on the motives of the ancients for building fabulous and mysterious monuments all over our planet. Was it an attempt to reproduce the sky on Earth? To bring down the power of the stars to where they could see it, worship it, and use it? The connecting thread is astronomy. Magli uses astronomy as a key to understanding our ancestors’ way of thinking. It is a challenge he likes to call "predicting the past."