A Course in Mathematical Analysis, Vol. 1: Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry (Classic Reprint) - Hardcover

Édouard Goursat

 
9780332207322: A Course in Mathematical Analysis, Vol. 1: Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry (Classic Reprint)

Synopsis

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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