This monograph is applications oriented, aimed at those who need to use advanced calculus in their work, for example physicists and engineers. The central idea of the course is Linearization. It occurs in the notion of derivative (tangent linear map) and differential forms (fields of linear forms). In these first two sections, finite dimensional vector spaces play the central role. The third part is an introduction to Functional Analysis and therefore many infinite dimensional function spaces are introduced and examined. ...
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This monograph is applications oriented, aimed at those who need to use advanced calculus in their work, for example physicists and engineers. The central idea of the course is Linearization. It occurs in the notion of derivative (tangent linear map) and differential forms (fields of linear forms). In these first two sections, finite dimensional vector spaces play the central role. The third part is an introduction to Functional Analysis and therefore many infinite dimensional function spaces are introduced and examined. Convergence (particularly uniform convergence) for sequences and series of functions is studied more or less systematically: the importance of these concepts in analysis cannot be overemphasized. The final part, a study of Fourier Series, includes a section on historical applications.
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Add this copy of Advanced Calculus for Users to cart. $28.59, good condition, Sold by ThriftBooks-Baltimore rated 5.0 out of 5 stars, ships from Halethorpe, MD, UNITED STATES, published 1989 by Pan Publishing.
Add this copy of Advanced Calculus for Users to cart. $77.66, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1989 by North-Holland.
