A Course in Mathematical Analysis, Vol. 1 (Classic Reprint): Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to ... Applications to Geometry (Classic Reprint) - Softcover
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Excerpt from A Course in Mathematical Analysis, Vol. 1: Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry
This book contains, with slight variations, the material given in my course at the University of Paris. I have modified somewhat the order followed in the lectures for the sake of uniting in a single volume all that has to do with functions of real variables, except the theory of differential equations. The differential notation not being treated in the Classe de Mathématiques spéciales, I have treated this notation from the beginning, and have presupposed only a knowledge of the formal rules for calculating derivatives.
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A Course in Mathematical Analysis, Vol. 1 (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. Embark on a journey into the world of mathematical analysis with this comprehensive guide, originally presented as a university course. The author's clear and concise explanations, coupled with numerous solved examples, make complex concepts accessible to students with a foundational understanding of calculus. Delving into the fundamental notions of analysis, such as limits, continuity, derivatives, and integrals, this book provides a rigorous yet elementary treatment of functions of real variables. It explores the intricacies of single and multivariable functions, delves into Taylor's series, and examines the applications of maxima and minima. Integral calculus takes center stage as definite and indefinite integrals are dissected, paving the way for the exploration of double and multiple integrals. The book concludes with a foray into infinite series and power series, offering valuable insights into their convergence and applications. Throughout, the author's emphasis on clarity and rigor ensures a solid understanding of the essential principles of mathematical analysis, empowering readers to tackle more advanced mathematical topics with confidence. Ultimately, this work serves as a testament to the profound beauty and interconnectedness of mathematical concepts, illuminating their significance in understanding the natural world. 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. Bestandsnummer des Verkäufers 9781440057809_0
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A Course in Mathematical Analysis, Vol 1 Derivatives and Differentials Definite Integrals Expansion in Series Applications to Geometry Classic Reprint
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A Course in Mathematical Analysis, Vol 1 Derivatives and Differentials Definite Integrals Expansion in Series Applications to Geometry Classic Reprint
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COURSE IN MATHEMATICAL ANALYSI
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Zustand: New. KlappentextrnrnExcerpt from A Course in Mathematical Analysis, Vol. 1: Derivatives and Differentials Definite Integrals Expansion in Series Applications to GeometryThis book contains, with slight variations, the material given in my c. Bestandsnummer des Verkäufers 2148536247
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