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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

 
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)

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This book presents a comprehensive study of derivatives and differential equations, concepts central to the study of functions of real variables. The author, an expert in the field, introduces these concepts from the beginning, presupposing only a knowledge of the formal rules for calculating derivatives. This foundational approach allows readers to build a strong understanding of the subject, starting with its basic principles. The book covers essential topics such as Taylor's Series, maxima and minima, definite and indefinite integrals, and multiple integrals. These concepts are thoroughly explored, providing readers with a deep understanding of their applications in various branches of mathematics and physics. The rigorous yet elementary approach makes this book an invaluable resource for students and researchers alike, offering a solid grounding in the subject of derivatives and differential equations.

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Ãdouard Goursat
Published by Forgotten Books, 2018
ISBN 10: 144005780X ISBN 13: 9781440057809
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Paperback. Condition: 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. Seller Inventory # 9781440057809_0

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Goursat, Édouard
Published by Forgotten Books, 2018
ISBN 10: 144005780X ISBN 13: 9781440057809
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440057809

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Goursat, Édouard
Published by Forgotten Books, 2018
ISBN 10: 144005780X ISBN 13: 9781440057809
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440057809

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Goursat, Edouard
Published by LULU PR, 2018
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Condition: 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. Seller Inventory # 2148536247

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