Differential and Integral Calculus (1902) by Virgil Snyder is a comprehensive textbook on calculus that covers both differential and integral calculus. The book is divided into two parts, with the first part covering differential calculus and the second part covering integral calculus. In the first part, the author starts with a review of algebra and trigonometry before introducing the concepts of limits, derivatives, and applications of derivatives. The author then covers topics such as differentiation of algebraic, exponential, logarithmic, and trigonometric functions, as well as implicit differentiation, related rates, and optimization problems. In the second part, the author covers the fundamental theorem of calculus, definite and indefinite integrals, integration techniques, and applications of integrals. The author also discusses topics such as differential equations, sequences, and series. Throughout the book, the author provides numerous examples and exercises to help students understand and apply the concepts covered. The book is written in a clear and concise style, making it accessible to students with a basic understanding of algebra and trigonometry. Overall, Differential and Integral Calculus (1902) by Virgil Snyder is a classic textbook on calculus that remains relevant and useful to this day. It is an excellent resource for students and teachers of calculus, as well as anyone interested in learning about this important branch of mathematics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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Sfcl PREFACE The favorable reception accorded the two volumes on the Calculus in this series shows that they have been serviceable in supplying a real need. A general demand has arisen for a similar treatment of the subjects in briefer form, suitable for use in shorter and more elementary courses. A ccordingly, in response to numerous requests and suggestions, the present volume has been prepared. The part on theD ifferential Calculus is of essentially the same character as the former separate volume (which will be referred to in the text as D. C), but the range of topics is restricted; various theorems have been put in less abstract form, and fewer alternative proofs have been given. The chapter on the expansion of functions has been so arranged that the remainder theorem may be omitted without marring the continuity of the subject. In the treatment of functions of two independent variables no use is made of an auxiliary variable. The characteristic features of the larger book are retained. Some of these are as follows: 1. The derivative is presented rigorously as a limit. 2. The process of differentiation is so arranged as to give the a?-derivative of a function of uin which tis a function of X; the resulting type forms being printed in full-face letters in the text and collected for reference at the end of the chapter. Mo rTS oD
(Typographical errors above are due to OCR software and don't occur in the book.)
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