Several Real Variables (eBook, PDF)

Several Real Variables (eBook, PDF)

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This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as:.The p-norms on vector space and their equivalence.The Weierstrass and Stone-Weierstrass approximation theorems.The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables.The Implicit Function Theorem for a system of equations, proved via Banach's Fixed Point Theorem.Applications to Ordinary Differential Equations.Line integrals and an introdu...

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