Elements of the Differential and Integral Calculus by William Granville - PDF

About this book :-
"Elements of the Differential and Integral Calculus" by "William Anthony Granville" is a classic textbook that introduces students to the essential principles of "calculus". Designed for learners in mathematics, physics, and engineering, the book explains fundamental concepts with clarity and logical progression. Granville focuses on building a strong understanding of "differentiation" and "integration", helping students grasp the theory behind each operation rather than simply memorizing formulas. The book covers topics such as limits, derivatives, integrals, and their practical applications in geometry, mechanics, and physics. Granville provides numerous examples and exercises to reinforce learning, guiding readers step by step through problem-solving techniques. Granville’s work is known for balancing rigor with accessibility, making it suitable for both beginners and advanced learners. The book emphasizes the connection between theory and application, showing how "calculus" can be used to model real-world problems. By combining clear explanations, practical examples, and structured learning, "Elements of the Differential and Integral Calculus" remains an influential and valuable resource for anyone seeking a solid foundation in "differentiation" and "integration".

Book Detail :-
Title: Elements of the Differential and Integral Calculus by William Granville - PDF
Publisher: Ginn and Company
Year: 1911
Pages: 492
Type: PDF
Language: English
ISBN-10 #: B008H9UA2E
ISBN-13 #: N\A
License: Public Domain Work
Amazon: Amazon

About Author :-
The author William Anthony Granville (1864–1943) was an American "mathematician" and educator renowned for his contributions to mathematics teaching. He focused on making complex topics clear and accessible, helping students develop a strong understanding of fundamental concepts. He authored "Elements of the Differential and Integral Calculus" to teach "calculus" through practical examples and clear explanations.

Book Contents :-
DIFFERENTIAL CALCULUS 1. Collection Of Formulas 2. Variables And Functions 3. Theory Of Limits 4. Differentiation 5. Rules For Differentiating Standard Elementary Forms 6. Simple Applications Of The Derivative 7. Successive Differentiation 8. Maxima And Minima. Points Of Inflection. Curve Tracing 9. Differentials 10. Rates 11. Change Of Variable 12. Curvature. Radius Of Curvature 13. Theorem Of Mean Value. Indeterminate Forms 14. Circle Of Curvature. Center Of Curvature 15. Partial Differentiation 16. Envelopes 17. Series 18. Expansion Of Functions 19. Asymptotes. Singular Points 20. Applications To Geometry Of Space 21. Curves For Reference INTEGRAL CALCULUS 22. Integration. Rules For Integrating Standard Elementary Forms 23. Constant Of Integration 24. The Definite Integral 25. Integration Of Rational Fractions 26. Integration By Substitution Of A New Variable. Rationalization 27. Integration By Parts. Reduction Formulas 28. Integration A Process Of Summation 29. Successive And Partial Integration 30. Ordinary Differential Equations 31. Integraph. Approximate Integration. Table Of Integrals

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