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Calculus Made Easy

by Silvanus P. Thompson, Kamyar M. Davoudi

26 chapters

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A Fresh Look at an Old Classic. Completely Modernized and Revamped. Being a very-simplest introduction to those beautiful methods of reckoning which are generally called by terrifying names of the Differential Calculus and the Integral Calculus.

26 chapters

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1. The Meaning of the Two Principal Symbols in Calculus
2. On Different Degrees of Smallness
3. The Derivative
4. The Power Rule
5. The Added Constants and Multiplied Constants: Their Effects on Derivatives
6. Sum, Difference, Product, and Quotient Rules
7. Derivatives of Higher Order
8. Rates of Change. Velocity and Acceleration
9. The Chain Rule
10. Geometrical Meaning of Differentiation
11. Maxima and Minima
12. Curvature of Curves
13. Partial Fractions. Derivative of an Inverse Function
14. Exponential, Logarithmic, Hyperbolic Functions, and Their Derivatives
15. Derivatives of Trigonometric Functions
16. Partial Differentiation
17. Integration
18. Integration as the Reverse of Differentiation
19. Definite Integrals and Some of Their Applications
20. Integration Techniques
21. A Little More About Curvature of Curves
22. Arc Length
23. Differential Equations
24. Epilogue And Apologue
25. Table of Standard Forms
26. Some Important Formulas

Calculus Made Easy

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