Elements of the Differential Calculus By James McMahon, Virgil Snyder - PDF

About this book :-
"Elements of the Differential Calculus" by "James McMahon" and "Virgil Snyder" is a classic textbook that introduces the foundations of "differential calculus" for undergraduate students. First published in the late 19th century, the book provides a clear and rigorous treatment of "derivatives", limits, and infinitesimals. It is designed to balance accessibility with mathematical precision, making it suitable for students in engineering, mathematics, and related fields. The book covers fundamental topics such as the definition and geometric interpretation of the derivative, "rules of differentiation", higher-order derivatives, and series expansions like Maclaurin and Taylor series. It also explores applications in "curve analysis", including maxima, minima, monotonicity, and concavity. While primarily focused on single-variable functions, it introduces some concepts for functions of multiple variables and implicit differentiation, maintaining clarity for first-year students. Renowned for its classical approach, "Elements of the Differential Calculus" emphasizes understanding over rote computation. Its historical significance lies in providing a rigorous yet approachable foundation in calculus, bridging the gap between elementary textbooks and advanced treatises. Despite its traditional notation, it remains a valuable resource for students and enthusiasts seeking a deep conceptual grasp of "calculus principles".

Book Detail :-
Title: Elements of the Differential Calculus By James McMahon, Virgil Snyder - PDF
Publisher: American Book Company
Year: 1898
Pages: 368
Type: PDF
Language: English
ISBN-10 #: 1436833396
ISBN-13 #: 978-1436833394
License: Public Domain Work
Amazon: Amazon

About Author :-
The author James McMahon, Virgil Snyder and "Virgil Snyder" were prominent American mathematicians associated with "Cornell University". McMahon specialized in "calculus" and geometry, known for making complex concepts clear and accessible for students. Snyder, a leading figure in "algebraic geometry", contributed his research expertise to ensure rigorous mathematical explanations. Together, they authored *Elements of the Differential Calculus*, blending educational clarity with scholarly precision. The book emphasizes "derivatives", limits, and proofs, providing a strong foundation in "mathematical principles".

Book Contents :-
0. Introduction 1. Fundamental Principles 2. Differentiation of the Elementary Forms 3. Successive Differentiation 4. Expansion of Functions 5. Indeterminate Forms 6. Mode of Variation of Functions of One Variable 7. Rates and Differentials 8. Differentiation of Functions of More Than One Variable 9. Successive Partial Differentiation 10. Maxima and Minima of Functions of Two Variables 11. Change of the Variable 12. Tangents and Normals 13. Derivative of an Arc, Area, Volume, and Surface of Revolution 14. Asymptotes 15. Direction of Bending. Points of Inflexion 16. Contact and Curvature 17. Singular Points 18. Curve Tracing 19. Envelopes

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