Calculus Made Easy by Silvanus P. Thompson.json

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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. Calculus Made Easy ignores the use of limits with its epsilon-delta definition, replacing it with a method of approximation directly to the correct answer in the infinitesimal spirit of Leibniz, now formally justified in modern non-standard analysis. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. 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Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public.'}}, {'kind': 'books#volume', 'id': 'OlOOzQEACAAJ', 'etag': '5l02xSxg94E', 'selfLink': 'https://www.googleapis.com/books/v1/volumes/OlOOzQEACAAJ', 'volumeInfo': {'title': 'Calculus Made Easy', 'subtitle': 'Being a Very-Simplest Intro To Those Beautiful Methods of Reckoning Which Are Generally Called by the Terrifying Names of the Differential Calculus and the Integral Calculus', 'authors': ['Silvanus P Thompson'], 'publishedDate': '2020-05-22', 'description': 'This easy to ready, large, 8.5 in x 11 inch study guide sized paperback book provides practical, easy to understand methods for calculus with plenty of illustrations. This is great for self-learners, homeschoolers, or people who want a supplement to their text books. The reader will develop essential calculus skills with practice problems and full solutions. If you are planning on taking a standardized test for college entrance or to test out of Calculus or to get advanced placement, this would be a great book to buy. Chapters included are: Next Stage-What to do with Constants; Sums, Differences, Products and Quotients; Successive Differentiation; When Time Varies; Introducing a Useful Dodge; Geometrical Meaning of Differentiation; Maxima and Minima; Curvature of Curves; Other Useful Dodges (calculus tricks); On true Compound Interest and the Law of Or- ganic Growth; How to deal with Sines and Cosines; Partial Differentiation; Integration Integrating as the Reverse of Differentiating; On Finding Areas by Integrating; Dodges, Pitfalls, and Triumphs; Finding some Solutions; Table of Standard Forms; Answers to Exercises. Prologue from Author: 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 difficult. The fools who write the textbooks of advanced mathematics and they are mostly clever fools seldom 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 un-teach 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. - Silvanus P. 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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. 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