Calculus Made Easy / Being a very-simplest introduction to those beautiful methods which are generally called by the terrifying names of the Differential Calculus and the Integral Calculus
by Silvanus P. Thompson
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Contents
- Prologue
- Chapter I. To Deliver You from the Preliminary Terrors
- Chapter II. On Different Degrees of Smallness
- Chapter III. On Relative Growings
- Note to Chapter III. How to read Differentials
- Chapter IV. Simplest Cases
- Chapter V. Next Stage. What to Do with Constants
- Chapter VI. Sums, Differences, Products and Quotients
- Chapter VII. Successive Differentiation
- Chapter VIII. When Time Varies
- Chapter IX. Introducing a Useful Dodge
- Chapter X. Geometrical Meaning of Differentiation
- Chapter XI. Maxima and Minima
- Chapter XII. Curvature of curves
- Chapter XIII. Other Useful Dodges
- Chapter XIV. On True Compound Interest and the Law of Organic Growth
- Chapter XV. How to Deal with Sines and Cosines
- Chapter XVI. Partial Differentiation
- Chapter XVII. Integration
- Chapter XVIII. Integrating as the Reverse of Differentiating
- Chapter XIX. On Finding Areas by Integrating
- Chapter XX. Dodges, Pitfalls, and Triumphs
- Chapter XXI. Finding Some Solutions
- Epilogue and Apologue
- Answers
- A Selection of Mathematical Works