Essentials of Calculus (Classic Reprint)

In the preparation of this Yolume, the authors have had in mind the needs of those colleges and technical schools in which the time devoted to calculus is limited to a three-hour course for a year, or perhaps to a five-hour course for two terms. The usual division of the subject into differential and integral calculus has been largely disregarded. By the arrangement adopted, the student is early led by easy steps into simple practical applications of the calculus; and the more difficult topics are postponed until late in the course. The theory of limits has been used exclusively in the development of fundamental principles. Throughout the book much emphasis is placed upon the applications of the calculus to practical problems. Only such knowledge of physics on the part of the student is assumed as is usually included in an elementary course in that subject. Some problems are introduced that show the use of calculus in discussing well-known applications to physical and engineering phenomena. Such problems are so stated, however, as to require no technical knowledge on the part of the student. The applications to geometry are such as are essential and usually to be found in a first course in calculus. In the selection of material, the authors have departed somewhat from the traditional course. Many topics usually included in calculus have been entirely omitted or greatly reduced in extent. Thus, but little attention has been given to special methods of integration; and reduction formulas for integration, order of contact, envelopes, etc., have been omitted entirely. On the other hand, some parts of the text have been extended beyond the usual limits. Functions of two or more variables, because of their importance in physics, have been discussed more fully than usual.
(Typographical errors above are due to OCR software and don't occur in the book.)

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