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The First Systems of Weighted Differential and Integral Calculus
Jane Grossman
Michael Grossman
Robert Katz
出版
Non-Newtonian Calculus
, 1980
主題
Mathematics / General
ISBN
0977117014
9780977117017
URL
http://books.google.com.hk/books?id=mS8g4XfaOEUC&hl=&source=gbs_api
EBook
SAMPLE
註釋
This book explains how each non-Newtonian calculus, as well as the classical calculus of Newton and Leibniz, can be 'weighted' in a natural way. In each of these weighted calculi, a weighted average (of functions) plays a central role. The weighted calculi provide a wide variety of mathematical tools for use in science, engineering, and mathematics. They appear to have considerable potential for use as alternatives to the classical calculus. It may well be that they can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.