9781440057809 - a course in mathematical analysis, vol. 1 (classic reprint): derivatives and differentials; definite integrals; expansion in series; applications to ... applications to geometry (classic reprint) di goursat, édouard (4 risultati)

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Condizione: 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.
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Paperback. Condizione: 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.