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Foundations of Infinitesimal Calculus by K.D. Stroyan
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About this book :- Almost all the theorems in this book are well-known old results of a carefully studied subject. The well-known ones are more important than the few novel aspects of the book. However, some details like the converse of Taylor’s theorem – both continuous and discrete are not so easy to find in traditional calculus sources. The microscope theorem for differential equations does not appear in the literature as far as we know, though it is similar to research work of Francine and Marc Diener from the 1980s.
Book Detail :- This book has following details information. Title: Foundations of Infinitesimal Calculus by K.D. Stroyan Publisher: Academic Press Year: 1997 Pages: 182 Type: PDF Language: English ISBN-10 #: N/A ISBN-13 #: N/A License: N\A Get this book from Amazon
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Book Contents :- This book has following table of contents. Numbers and Functions - Numbers - Functional Identities - Limits - The Theory of Limits - Continuous Functions - Variable Differentiation - The Theory of Derivatives - Pointwise Derivation - The Mean Valure Theorem - Higher Order Derivatives - Integration - Basic Theory of Definite Integral - Derivatives of Multivariable Functions - Differential Equations - Theory of Initial Value Problems - Infinite Series - The Theory of Power Series - The Theory of Fourier Series
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