Excerpt from Œuvres Complètes d'Augustin Cauchy, Vol. 7
On peut arriver par deux routes différentes aux équations d equilibre de plusieurs forces dont les points d'application sont assujettis à des liaisons quelconques. Le plus souvent on déduit ces équations du prin cipe des vitesses virtuelles. Mais on peut aussi les établir directement a l'aide de diverses méthodes, entre lesquelles je vais en signaler une qui, à cause de sa simplicité, paraît digne de fixer un moment l'atten tion des géomètres.
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Paperback. Condizione: New. Print on Demand. In this book, the author develops various theories whose foundations were laid in earlier works. These theories find applications in physics, particularly in determining the integrals of partial differential equations, summing series, and integrating linear differential equations. The author presents methods for solving problems in mathematical physics and demonstrates the importance of residue calculus in these methods. These methods contribute to the advancement of infinitesimal analysis and serve not only to integrate linear partial differential equations, but also to determine arbitrary functions introduced by integration, under given conditions, to develop arbitrary functions into series of exponentials whose exponents are proportional to the various roots of a transcendental equation, and to fix the limits within which these series are enclosed. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9780259586135_0
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