Calculus Made Easy

Being a Very-Simplest Introduction to Those Beautiful Methods of Reckoning Which are Generally Called by the Terrifying Names of the Differential Calculus and the Integral Calculus

Silvanus Phillips Thompson

• Publisher: Johnston Press
• Year: 2011
• Print ISBN: 9781409724674, 9781446513408
• eBook ISBN: 9781446547724
• Topic: Mathematics
• Subtopic: Calculus
• Index: Mathematics

Calculus Made Easy by Silvanus Phillips Thompson is an accessible and engaging introduction to the fundamental principles of calculus, offering readers a clear and simplified approach to understanding this essential branch of mathematics.

Calculus Made Easy by Silvanus Phillips Thompson is a timeless classic that makes the complex world of calculus accessible to students and learners of all levels. This book serves as a comprehensive guide to the core concepts and techniques of calculus, presented in a manner that is easy to grasp and enjoyable to read.

The book begins by providing readers with a user-friendly introduction to the basic principles of calculus, offering insights into its historical development and significance in mathematics and science. Silvanus Phillips Thompson's clear and engaging explanations set the stage for a deeper exploration of this essential subject.

Central to the book is the presentation of calculus concepts, including differentiation and integration, in a simplified and intuitive manner. Readers will find practical examples, step-by-step explanations, and exercises that facilitate learning and problem-solving.

Furthermore, the book emphasizes the real-world applications of calculus, illustrating how it is used in various fields, from physics and engineering to economics and biology. It highlights the practical relevance of calculus in solving everyday problems and making informed decisions.

Calculus Made Easy is not only a textbook but also a friendly companion on the journey to mastering calculus. It encourages readers to overcome the fear of complex mathematics and discover the beauty and utility of calculus in a straightforward and enjoyable way.

ANSWERS.

Exercises I. (p. 25.)

Exercises II. (p. 33.)

(8)

=αb V^{b − 1}, 0·98, 3·00 and 7·47 candle power per volt respectively.

Exercises III. (p. 46.)

(4) 14110x⁴ − 65404x³ − 2244x² + 8192x + 1379.

(6) 185·9022654x² + 154·36334.

(11) b + 2ct.

(13) 1·4340(0·000014t−0·001024), − 0·00117, − 0·00107, − 0·00097.

Exercises IV. (p. 51.)

(1) 17 + 24x; 24.

(4) (Exercise III.):

(2) − b, 0.

(3) 2, 0

(5) 2, 0

(6) 371·80453x, 371·80453.

(Examples, p. 41):

(5) 12x + 2, 12.

(6) 6x² − 9x, 12x − 9.

Exercises V. (p. 64.)

(2) 64; 147·2...

Table of contents

• Cover
• Title
• Copyright
• Dedication
• Preface to the Second Edition
• Contents
• Prologue
• I. To Deliver you from the Preliminary Terrors
• II. On Different Degrees of Smallness
• III. On Relative Growings
• IV. Simplest Cases
• V. Next Stage. What to do with Constants
• VI. Sums, Differences, Products, and Quotients
• VII. Successive Differentiation
• VIII. When Time Varies
• IX. Introducing a Useful Dodge
• X. Geometrical Meaning of Differentiation
• XI. Maxima and Minima
• XII. Curvature of Curves
• XIII. Other Useful Dodges
• XIV. On True Compound Interest and the Law of Organic Growth
• XV. How to Deal with Sines and Cosines
• XVI. Partial Differentiation
• XVII. Integration
• XVIII. Integrating as the Reverse of Differentiating
• XIX. On Finding Areas by Integrating
• XX. Dodges, Pitfalls, and Triumphs
• XXI. Finding Some Solutions
• XXII. A little more about Curvature of Curves
• XXIII. How to Find the Length of an Arc on a Curve
• Epilogue and Apologue
• Table of Standard Forms
• Answers to Exercises