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

Goursat, Édouard

 
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)

Sinopsis

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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