Titlebook: Differentiability in Banach Spaces, Differential Forms and Applications; Celso Melchiades Doria Textbook 2021 Springer Nature Switzerland

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Celso Melchiades DoriaThe differential forms formalism is explained through the classical theorems of integrations and applied to obtain topological invariants.Includes applications to the study of harmonic functions and t

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Binary Degrees of Freedom and QubitsIn this chapter we will introduce the concept of differentiability of maps defined in Banach spaces. The Inverse Function Theorem (InFT) is the main result; some examples of optimization in Variational Calculus are given, as well as some properties of the Fredholm maps are proved along with some applications of the InFT.

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Studies in Computational IntelligenceWe will introduce the algebra . of differential forms on an open subset ., although the formalism to define it on a submanifold of . is the same.

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Entangled Quantum Neural NetworkApplications are widespread in many topics of Pure and Applied Mathematics. To apply the formalism of differential forms and the Stokes Theorem, we will discuss the topics on Harmonic Functions and the geometric formulation of Electromagnetism without delving into the contents.

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