Description

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Starts from basic concepts and extends to n-dimensional, multi-variable real analysis
Self-contained, with easy-to-follow proofs
Provides elegant proofs of the implicit theorem for the vectorial case by applying the Banach fixed-point theorem

About the Author

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Fabio Botelho holds a PhD in Mathematics from Virginia Tech, USA, and a Master in Aeronautics and Mechanics Engineering from the Aeronautics Institute of Technology, Brazil. He is the author of the book "Functional Analysis and Applied Optimization in Banach Spaces," also published with Springer. His main research fields are calculus of variations, convex analysis and duality applied to problems in physics and engineering.