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Exercices d'Analyse Et de Physique Mathématique, Vol. 2 - Softcover

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9780282552428: Exercices d'Analyse Et de Physique Mathématique, Vol. 2

Synopsis

This book is a significant contribution to the field of celestial mechanics and the development of a novel analytical tool, the Calculus of Limits. The author, a renowned mathematician, presents a rigorous examination of existing methods used to deduce the movements of celestial bodies from the principle of gravitation, highlighting their limitations and computational complexities. The Calculus of Limits, introduced in this book, provides a systematic framework for determining limits of error and convergence in series expansions, addressing long-standing challenges in celestial mechanics. The author skillfully demonstrates the application of this new method, leading to the derivation of important numerical coefficients related to planetary perturbations. The book also includes innovative formulas and a novel approach to the development of implicit functions, making it an indispensable resource for astronomers, mathematicians, and anyone interested in celestial mechanics.

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