The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies [Paperback]

Published in 1891, this first part of a revised textbook establishes the principles of dynamics, providing formulae and examples throughout.Edward John Routh (18311907) 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.Edward John Routh (18311907) 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.As senior wrangler in 1854, Edward John Routh (18311907) was the man who beat James Clerk Maxwell in the Cambridge mathematics tripos. He went on to become a highly successful coach in mathematics at Cambridge, producing a total of twenty-seven senior wranglers during his career  an unrivalled achievement. In addition to his considerable teaching commitments, Routh was also a very able and productive researcher who contributed to the foundations of control theory and to the modern treatment of mechanics. First published in one volume in 1860, this textbook helped disseminate Routh's investigations into stability. This revised fifth edition was published in two volumes between 1891 and 1892. The first part establishes the principles of dynamics, providing formulae and examples throughout. While the growth of modern physics and mathematics may have forced out the problem-based mechanics of Routh's textbooks from the undergraduate syllabus, the utility and importance of his work is undiminished.Preface; 1. On moments of inertia; 2. D'Alembert's principle; 3. Motion about a fixed axis; 4. Motion in two dimensions; 5. Motion in three dimensions; 6. On momentum; 7. Vis viva; 8. Lagrange's equatils+