The book is divided into three parts. The first introduces the framework for the above-mentioned classification, methodically developing a geometric and topological formulation applicable to all physical laws and properties; the second applies this formulation to a detailed study of particle dynamics, electromagnetism, deformable solids, fluid dynamics, heat conduction, and gravitation. The third part further analyses the general structure of the classification diagram for variables and equations of physical theories.
Suitable for a diverse audience of physicists, engineers, and mathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world. Written at a level accessible to graduate and advanced undergraduate students in mathematical physics, the book can be used as a research monograph across various areas of physics, engineering and mathematics, and as a supplemental text for a broad range of upper-level scientific coursework.
Many of the fundamental laws of physics, chemistry, biology, andeconomics can be formulated as differential equations. Thisplain-English guide explores the many applications of thismathematical tool and shows how differential equations can help usunderstand the world around us. Differential Equations ForDummies is the perfect companion for a college differentialequations course and is an ideal supplemental resource for othercalculus classes as well as science and engineering courses. Itoffers step-by-step techniques, practical tips, numerous exercises,and clear, concise examples to help readers improve theirdifferential equation-solving skills and boost their testscores.