Accessible treatment offers highly detailed accounts concerning development of ideas and theories about the nature of electricity and space (aether), focusing on period from Descartes to Lorentz, Einstein, and Minkowski. 1960 edition.
This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text.
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.
In 1910, E. T. Whittaker wrote "A History of the Theories of Aether and Electricity," which gave a very detailed account of the aether theories from Rene Descartes to Hendrik Lorentz, and which made Whittaker a respected historian of science. Though the book was a "History," Whittaker showed his own brilliance in his exposition of relativity. (Fully illustrated)
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