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Differential Calculus in Normed Linear Spaces

Differential Calculus in Normed Linear Spaces PDF Author: Kalyan Mukherjea
Publisher:
ISBN: 9788185931432
Category : Mathematics
Languages : en
Pages : 285

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Book Description
"This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial derivatives of functions of several variables, the derivative of the function is treated as a linear transformation between normed linear spaces. Not only does this lead to a simplified and transparent exposition of "difficult" results like the Inverse and Implicit Function Theorems but also permits, without any extra effort, a discussion of the Differential Calculus of functions defined on infinite dimensional Hilbert or Banach spaces." "The prerequisites demanded of the reader are modest: a sound understanding of convergence of sequences and series of real numbers, the continuity and differentiability properties of functions of a red variable and a little Linear Algebra should provide adequate background for understanding the book."--BOOK JACKET.