Author: Silvanus P. Thompson
Publisher: St. Martin's Press
Release Date: 2014-03-18
Genre: Study Aids
Calculus Made Easy by Silvanus P. Thompson and Martin Gardner 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.
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.
The surprising success of this work has led the author to add a considerable number of worked examples and exercises Advantage has also been taken to enlarge certain parts where experience showed that further explanations would be useful. The author acknowledges with gratitude many valuable suggestions and letters received from teachers, students, and critics. CONTENTS. Chapter Page Prologue vi I To deliver you from the Preliminary Terrors 1 II On Different Degrees of Smallness 3 III On Relative Growings 9 IV Simplest Cases 17 V Next Stage What to do with Constants 25 VI Sums, Differences, Products and Quotients 34 VII Successive Differentiation 48 VIII When Time Varies 52 IX Introducing a Useful Dodge 66 X Geometrical Meaning of Differentiation 75 XI Maxima and Minima 91 XII Curvature of Curves 109 XIII Other Useful Dodges 118 XIV On true Compound Interest and the Law of Organic Growth 131 vii CALCULUS MADE EASY v Chapter Page XV How to deal with Sines and Cosines 162 XVI Partial Differentiation 172 XVII Integration 180 XVIII Integrating as the Reverse of Differentiating 189 XIX On Finding Areas by Integrating 204 XX Dodges, Pitfalls, and Triumphs 224 XXI Finding some Solutions 232 Table of Standard Forms 249 Answers to Exercises 252 PROLOGUE. Considering how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks. Some calculus-tricks are quite easy Some are enormously diffcult. The fools who write the textbooks of advanced mathematicsand they are mostly clever foolsseldom take the trouble to show you how easy the easy calculations are On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way. Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard Master these thoroughly, and the rest will follow What one fool can do, another can.
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: Greg Hill
Publisher: Adams Media
Release Date: 2011-07-18
Introduces the basic principles of calculus, covering such topics as differentiation, integrals, limits and continuity, and integration, in a text that includes sample problems and detailed explanations.
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.
Author: J. E. Thompson
Publisher: Read Books Ltd
Release Date: 2013-04-16
This book on calculus is one of a series designed by the author and publisher for the reader with an interest in the meaning and simpler technique of mathematical science, and for those who wish to obtain a practical mastery of some of the more usual and directly useful branches of the science without the aid of a teacher. Like the other books in the series it is the outgrowth of the author's experience with students such as those mentioned and the demand experienced by the publisher for books which may be read as well as studied. One of the outstanding features of the book is the use of the method of rates instead of the method of limits. To the conventional teacher of mathematics, whose students work for a college degree and look toward the modern theory of functions, the author hastens to say that for their purposes the limit method is the only method which can profitably be used. To the readers contemplated in the preparation of this book, however, the notion of a limit and any method of calculation based upon it always seem artificial and not in any way connected with the familiar ideas of numbers, algebraic symbolism or natural phenomena. On the other hand, the method of rates seems a direct application of the principle which such a reader has often heard mentioned as the extension of arithmetic and algebra with which he must become acquainted before he can perform calculations which involve changing quantities. The familiarity of examples of changing quantities in every-day life also makes it a simple matter to introduce the terminology of the calculus; teachers and readers will recall the difficulty encountered in this connection in more formal treatments. The scope and range of the book are evident from the table of contents. The topics usually found in books on the calculus but not appearing here are omitted in conformity with the plan of the book as stated in the first paragraph above. An attempt has been made to approach the several parts of the subject as naturally and directly as possible, to show as clearly as possible the unity and continuity of the subject as a whole, to show what the calculus is all about and how it is used, and to present the material in as simple, straightforward and informal a style as it will permit. It is hoped thus that the book will be of the greatest interest and usefulness to the readers mentioned above.
Author: Mark Ryan
Publisher: John Wiley & Sons
Release Date: 2016-05-18
Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.