Calculus Made Easy

Calculus Made Easy has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

Silvanus P. Thompson, born in 1851, was elected to the Royal Society in 1891. He wrote numerous technical books and manuals on electricity, magnetism, dynamos, and optics, as well as several popular biographies of prominent scientists. Thompson died in 1916.

Martin Gardner, born in 1914, has written several reviews for The New York Review of Books and was a Scientific American columnist for over twenty-five years. He lives in Hendersonville, North Carolina.

Preface to the 1998 Edition

1

(9)

Preliminary Chapters

10

(26)

Martin Gardner

1. What Is a Function?

10

(8)

2. What Is a Limit?

18

(12)

3. What Is a Derivative?

30

(6)

Calculus Made Easy

36

(3)

Silvanus P. Thompson

Publisher's Note on the Third Edition

36

(2)

Prologue

38

(1)

I. To Deliver You from the Preliminary Terrors

39

(2)

II. On Different Degrees of Smallness

41

(4)

III. On Relative Growings

45

(6)

IV. Simplest Cases

51

(8)

V. Next Stage. What to Do with Constants

59

(7)

VI. Sums, Differences, Products, and Quotients

66

(13)

VII. Successive Differentiation

79

(4)

VIII. When Time Varies

83

(11)

IX. Introducing a Useful Dodge

94

(9)

X. Geometrical Meaning of Differentiation

103

(13)

XI. Maxima and Minima

116

(16)

XII. Curvature of Curves

132

(7)

XIII. Partial Fractions and Inverse Functions

139

(11)

XIV. On True Compound Interest and the Law of Organic Growth

150

(25)

XV. How to Deal with Sines and Cosines

175

(9)

XVI. Partial Differentiation

184

(7)

XVII. Integration

191

(7)

XVIII. Integrating as the Reverse of Differentiating

198

(12)

XIX. On Finding Areas by Integrating

210

(17)

XX. Dodges, Pitfalls, and Triumphs

227

(8)

XXI. Finding Solutions

235

(14)

XXII. A Little More about Curvature of Curves

249

(14)

XXIII. How to Find the Length of an Arc on a Curve

263

(13)

Table of Standard Forms

276

(3)

Epilogue and Apologue

279

(2)

Answers to Exercises

281

(15)

Appendix: Some Recreational Problems Relating to Calculus

296

(30)

Martin Gardner

Index

326

(4)

About the Authors

330

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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Summary

Author Biography

Table of Contents

Supplemental Materials

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Calculus Made Easy

Summary

Author Biography

Table of Contents

Supplemental Materials

Digital License