Differential and Integral Calculus by Snyder Virgil - PDF

About this book :-
"Differential and Integral Calculus" by "Virgil Snyder" is a comprehensive guide to understanding "differential calculus". The book introduces foundational concepts such as derivatives, limits, and rates of change with clear, structured explanations. Snyder emphasizes logical reasoning and step-by-step problem-solving, helping students build a strong theoretical foundation while developing analytical skills. In addition to differentiation, the text thoroughly covers "integral calculus", showing how integrals are used to calculate areas, solve equations, and model real-world phenomena. Each chapter includes worked examples and exercises designed to reinforce learning and strengthen practical skills. By blending theory with application, Snyder ensures readers can apply calculus concepts effectively in fields such as science, engineering, and applied mathematics. The book also serves as an essential resource for "mathematical analysis", linking calculus principles to broader analytical thinking. Ideal for students, educators, and self-learners, Snyder’s treatise provides a structured and accessible approach to mastering calculus. Its detailed explanations, examples, and exercises make complex topics approachable, ensuring readers gain both conceptual understanding and hands-on experience in differential and integral calculus.

Book Detail :-
Title: Differential and Integral Calculus by Snyder Virgil - PDF
Publisher: American Book Company
Year: 1902
Pages: 344
Type: PDF
Language: English
ISBN-10 #: 142970148X
ISBN-13 #: 978-1429701488
License: Public Domain Work
Amazon: Amazon

About Author :-
The author Snyder Virgil was an American "mathematician", born in Dixon, in 1869. He studied at Iowa State College and Cornell University, later completing his Ph.D. under Felix Klein at the University of Göttingen. Snyder taught at Cornell University from 1895 to 1938, becoming a full professor and eventually professor emeritus. He authored "Differential and Integral Calculus", focusing on step-by-step explanations and worked examples to help students master "differential calculus" and "integral calculus". His contributions to "mathematical analysis" education made advanced calculus concepts accessible to generations of learners.

Book Contents :-
DIFFERENTIAL CALCULUS 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 Two Variables 9. Change of the Variable 10. Tangents and Normals 11. Derivative of an Arc, Area, Volume, and Surface of Revolution 12. Asymptotes 13. Direction of Bending; Points of Inflection 14. Contact and Curvature 15. Singular Points 16. Envelopes INTEGRAL CALCULUS 1. General Principles of Integration 2. Reduction Formulas 3. Integration of Rational Fractions 4. Integration by Rationalization 5. Integration of Trigonometric and Other Transcendental Functions 6. Integration as a Summation

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