uvres Complètes d'Augustin Cauchy, Vol. 7 (Classic Reprint) (French Edition) - Softcover

Augustin Louis Cauchy

 
9780259586135: uvres Complètes d'Augustin Cauchy, Vol. 7 (Classic Reprint) (French Edition)

Synopsis

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.

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