The first part of "Local Analysis" is selfconsistent and provides a detailed introduction to those parts of finite-dimensional real calculus which do with multi-dimensional differentiation and only onedimensional integration (over directed intervals). The exposition is co-ordinate-free and avoids both dependent variables and differentials by exclusively using the concepts function and derivative.The first part of "Local Analysis" is selfconsistent and provides The reader is assumed to be familiar with onedimensional calculus and linear algebra only so that the book primarily turns to students of mathematics, physics and engineering from the second year of their study on, as well as to their academic teachers. And since complete solutions are added to the exercises, the book is also suitable for private study.
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