Synopsis
A detailed introduction to those parts of finite-dimensional real calculus that deal with multidimensional differentiation and only one-dimensional integration. Uses the concepts of function and derivative to bypass coordinates and dependent variables. For undergraduate students of mathematics, physics, or engineering who are familiar with one-dimensional calculus and linear algebra. Annotation copyright Book News, Inc. Portland, Or.
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From the Publisher
The first part of the "Local Analysis" textbook is self-consistent and provides a detailed introduction to those parts of finite-dimensional real calculus which go with multi-dimensional differentiation and only one-dimensional integration. The second part is based upon the first one and gives a detailed introduction to the initial value problems of certain systems of first order ordinary and partial differential equations as well as to the theory of differential forms.
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Local Analysis: Foundations and Differential Calculus
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