This early work on calculus is both expensive and hard to find in its first edition. It details the mathematical techniques of successive differences, relative growing, curvature of curves, and includes numerous examples and exercises. This is a fascinating work and highly recommended for anyone interested in learning calculus. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Calculus Made Easy has helped literally millions of students learn the basic principles of calculus since it was first published, and today remains one of the simplest and most straightforward and easy-to-comprehend guides to this difficult course. If you are struggling with calculus, if you want a refresher, or if you want to learn the basic principles before taking calculus in the classroom, this book will help you. Written in plain English, suitable for readers 6th grade and up, with many examples and exercises to help you understand the basics of calculus. You'll find that calculus truly is made easy with this helpful guide. The chapter titles are: (1) To Deliver You from the Preliminary Terrors, (2) On Different Degrees of Smallness, (3) On Relative Growings, (4) Simplest Cases, (5) Nest 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) Other Useful Dodges, (14) On the 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, and (21) Finding Some Solutions,Table of Standard Forms, Answers to Exercises. There are over 230 Exercises at the ends of chapters for students to solve. It is a pleasure to publish this new, high quality, and affordable edition of this useful textbook.
Calculus Made Easy is a book on infinitesimal calculus originally published in 1910 by Silvanus P. Thompson, considered a classic and elegant introduction to the subject. The original text continues to be available as of 2008 from Macmillan and Co., but a 1998 update by Martin Gardner is available from St. Martin's Press which provides an introduction; three preliminary chapters explaining functions, limits, and derivatives; an appendix of recreational calculus problems; and notes for modern readers. Gardner changes "fifth form boys" to the more American sounding (and gender neutral) "high school students," updates many now obsolescent mathematical notations or terms, and uses American decimal dollars and cents in currency examples.
Author: Robert R. Carter
Release Date: 2014-09-02
This book is intended for science or engineering majors who use calculus and others who are required to take calculus but do not understand limits. This is calculus without limits. It is a non-rigorous infinitesimal differential approach to calculus. It should foster better operational skills with calculus problem solving because it involves algebraic operations on differentials based on a more intuitive understanding of their meaning than calculus based on limits. These are the methods that were originally conceived by G. Leibnitz over 300 years ago and have been used successfully by scientists and engineers ever since. It is written in the spirit of "Calculus Made Easy" written by S. Thompson. He wrote his book in 1910 but this book makes calculus, I believe, even easier. This is not a textbook. Examples are given to illustrate concepts but there are no exercise sets at the end of a unit. This book should be used as a supplement.
This book is about tensor analysis. It consists of 169 pages. The language and method used in presenting the ideas and techniques of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self-studying and learning.