Local Analysis: Part A: Foundations and Differential Calculus - Tapa dura

Sinopsis

The first part of "Local Analysis" is selfconsistent and provides a detailed introduction to those parts of finitedimensional real calculus which do with multidimensional differentiation and only onedimensional integration (over directed intervals). The exposition is coordinate-free and avoids both dependent variables and differentials by exclusively using the concepts function and derivative. 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 study on as well as to their academic teachers. And since complete solutions are added to the exercises, the book is also best suitable for private study.

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