Calculus Made Easy
- Subtitle
- 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
Silvanus P. (Silvanus Phillips) Thompson
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Table of contents
1. Front matter2. CALCULUS MADE EASY3. CALCULUS MADE EASY:4. PROLOGUE5. CHAPTER I. TO DELIVER YOU FROM THE PRELIMINARY TERRORS.6. CHAPTER II. ON DIFFERENT DEGREES OF SMALLNESS.7. CHAPTER III. ON RELATIVE GROWINGS.8. NOTE TO CHAPTER III. How to read Differentials.9. CHAPTER IV. SIMPLEST CASES.10. CHAPTER V. NEXT STAGE. WHAT TO DO WITH CONSTANTS.11. CHAPTER VI. SUMS, DIFFERENCES, PRODUCTS AND QUOTIENTS.12. CHAPTER VII. SUCCESSIVE DIFFERENTIATION.13. CHAPTER VIII. WHEN TIME VARIES.14. CHAPTER IX. INTRODUCING A USEFUL DODGE.15. CHAPTER X. GEOMETRICAL MEANING OF DIFFERENTIATION.16. CHAPTER XI. MAXIMA AND MINIMA.17. CHAPTER XII. Curvature of curves.18. CHAPTER XIII. OTHER USEFUL DODGES.19. CHAPTER XIV. ON TRUE COMPOUND INTEREST AND THE LAW OF ORGANIC GROWTH.20. CHAPTER XV. HOW TO DEAL WITH SINES AND COSINES.21. CHAPTER XVI. PARTIAL DIFFERENTIATION.22. CHAPTER XVII. INTEGRATION.23. CHAPTER XVIII. INTEGRATING AS THE REVERSE OF DIFFERENTIATING.24. CHAPTER XIX. ON FINDING AREAS BY INTEGRATING.25. CHAPTER XX. DODGES, PITFALLS, AND TRIUMPHS.26. CHAPTER XXI. FINDING SOME SOLUTIONS.27. EPILOGUE AND APOLOGUE.28. TABLE OF STANDARD FORMS.29. ANSWERS.30. A SELECTION OF MATHEMATICAL WORKS