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Originally published in 1926, this informative and detailed textbook is primarily aimed at university students studying applied mathematics for a science or engineering degree and contains a large number of useful examples to work though. Basic knowledge of elementary dynamics is assumed throughout, as is a working knowledge of differential and integral calculus. Answers can be found at the back of the book, as well as a summary of the methods of solution of the equations contained. Examples are mostly collected from a variety of past university and college examination papers, and notably rigid dynamics has been confined to two-dimensional motion and omissions have been made to all reference of moving axes. Covering the topic in its entirety, this book gives a panoramic overview of the subject and will be of considerable value to anyone with a keen interest in mathematics and engineering, as well as the history of education.
Edward John Routh (1831-1907) was a highly successful mathematics coach at Cambridge. He also contributed to the foundations of control theory and to the modern treatment of mechanics. Published in 1891, this first part of a revised textbook establishes the principles of dynamics, providing formulae and examples throughout.
This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and then applied to dynamical systems, including three-body systems and celestial mechanics. Very many examples and exercisies are supplied throughout.