Titlebook: Calculus and Linear Algebra; Fundamentals and App Aldo G. S. Ventre Textbook 2023 The Editor(s) (if applicable) and The Author(s), under ex

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Vector Spaces,on which, or between which, functions or operations are defined) is developed. In particular, the chapter is of interest for the linear algebra, which will be studied in the next chapters. Complex numbers, the concepts of operation and vector space are introduced. Linear dependence and linear indepe

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Algorithms,erive from the fact that the algorithms often require an enormous number of operations, even if every single operation is simple. The more complex operations are performed by repetition of the simpler ones. This is one of the reasons why algorithms are associated with automatic calculating machines.

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Continuity,nuous functions defined in a closed and bounded interval are stated. The uniform continuity is introduced in order to provide a precise framework for a detailed proof of Weierstrass’ theorem. A classification of discontinuities is accomplished. Many exercises and examples on the continuity and disco

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Superlinear Learning Algorithm Designa domain for the language leads us, both as speakers and hearers, to communicate mathematics. The concept of set is described with examples and the operations of inclusion, intersection, union and difference are introduced along with the concept of empty set.