The general theory of particle mechanics : a special course

This book provides insights into the tight connection between fundamental math and mechanics, the basic grounding of physics. It demonstrates that quantum, classical, and relativistic mechanics, historically (and separately) formulated upon an experimental basis, can be regarded as links of a single theoretical chain readily extracted from a simple mathematical medium. It uses mathematical tools to endow formerly abstract entities, such as quantum wave-function and classical action function, with original and clear geometric images, strongly simplifying them. The book comprises the author's lectures, manual texts, typical problems and tests, and many illustrations, and will be of interest to students of all levels majoring in mathematics, physics and advanced engineering programs. Cover 1 Title 4 Copyright 5 TABLE OF CONTENTS 6 PREFACE 13 FOUR EXCLUSIVE ALGEBRAS 19 PROFOUND STUDY OF QUATERNIONS 81 DIFFAERNDEN NTEIAWLT PORNOIAPNER MTIEECS HOAFN QIC-BS ASIS IN THE Q-VECTOR FORMAT 120 INDEX 293