Monday, 9 October 2017

DIFFERENTIAL AND INTEGRAL CALCULUS WITH EXAMPLES AND APPLICATIONS BY GEORGE ABBOTT

In the original work, the author endeavored to prepare a textbook on the Calculus, based on the method of limits, that should be within the capacity of students of average mathematical ability and yet contain all that is essential to a working knowledge of the subject. 


In the revision of the book the same object has been kept in view. Most of the text has been rewritten, the demonstrations have been carefully revised, and, for the most part, new examples have been substituted for the old. There has been some rearrangement of subjects in a more natural order. In the Differential Calculus, illustrations of the derivative have been introduced in Chapter II., and applications of differentiation will be found, also, among the examples in the chapter immediately following. Chapter VII., on Series, is entirely new. In the Integral Calculus, immediately after the integration of standard forms. Chapter XXI. has been added, containing simple applications of integration. In both the Differential and Integral Calculus, example illustrating applications to Mechanics and Physics will be found, especially in Chapter X. of the Differential Calculus, on Maxima and Minima, and in Chapter XXXII. of the Integral Calculus. The latter chapter has been prepared by my colleague, Assistant Professor N. E. George, Jr. The author also acknowledges his special obligation to his colleagues, Professor H. W. Tyler and Professor .S. Woods, for important suggestions and criticisms. 
(Typographical errors above are due to OCR software and don't occur in the book.) 

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