Integral Calculus Made Easy

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.

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.

From the 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 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 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.

Silvanus P. Thompson's classic guide to differential calculus and integral calculus.

Calculus Made EasySilvanus P. Thompson

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.