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Calculus Made Easy by Silvanus P. Thompson AND Martin Gardner



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Calculus Made Easy by Silvanus P. Thompson and Martin Gardner .
Calculus Made Easy was first issued by Macmillan in England in 1910 under the pseudonym ofER.S.-initials that stand for Fellow of the Royal Society. The identity of the author was not revealed until after his death. The book was reprinted three times before the end of 1910. Thompson revised the book considerably in 1914, correcting errors and adding new material. The book was further revised and enlarged posthumously in 1919, and again in 1945 by E G. W. Brown. Some of these later additions, such as the chapter on partial fractions, are more technical than chapters in Thompson
s original work. Curiously, Thompson
s first edition, with its great simplicity and clarity, is in a way closer to the kind of introductory book recommended today by reformers who wish ro emphasize the basic ideas of calculus, and to downplay tedious techniques for solving problems that today can be solved quickly by computers. Readers who wish merely to grasp the essentials of calculus can skip the more technical chapPreface to the 1998 Edition 7 ters, and need not struggle with solving all the exercises. The book has never been out of print. St. Martin
s Press published its paperback edition in 1970.

Calculus Made Easy by Silvanus P. Thompson, Martin Gardner cover the following topics.

  • 1. To Deliver You from the Preliminary Terrors
    2. On Different Degrees of Smallness
    3. On Relative Growings
    4. Simplest Cases
    5. Next Stage. What to Do with Constants
    6. Sums, Differences, Products, and Quotients
    7. Successive Differentiation
    8. When Time Varies
    9. Introducing a Useful Dodge
    10. Geometrical Meaning of Differentiation
    11. Maxima and Minima
    12. Curvature of Curves
    13. Partial Fractions and Inverse Functions
    14. On True Compound Interest and the Law of Organic Growth
    15. How to Deal with Sines and Cosines
    16. Partial Differentiation
    17. Integration
    18. Integrating as the Reverse of Differentiating
    19. On Finding Areas by Integrating
    20. Dodges, Pitfalls, and Triumphs
    21. Finding Solutions
    22. A Little More about Curvature of Curves
    23. How to Find the Length of an Arc on a Curve

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