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R ; hin 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 real variable, and a little Linear Algebra should provide adequate background source understanding the book. The first two chapters cover much of the more advanced background material on Linear Algebra like dual spaces, multilinear functions and tensor products. Chapter 3 gives an ab initio exposition of the basic results concerning the topology of metric spaces, particularly of normed linear spaces.

The last chapter deals with miscellaneous applications of the Differential Calculus, including an introduction to the Calculus of Variations.

As a corollary to this, there is a brief discussion of geodesics in Euclidean and hyperbolic planes and non-Euclidean geometry. Institutional use apart, please read this remarkable, striking and original book.

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Open Math Notes is a repository of freely downloadable mathematical works in progress--including course notes, textbooks, and research expositions--provided as a service to researchers, teachers and students. AMS sectional meetings have gone virtual, but our book savings are real!

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Custom URL: hinr. Abstract: 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 Numbber function is treated as a linear transformation between normed linear spaces. Volume: Publication Month and Year: Copyright Year: Page Count: Https://amazonia.fiocruz.br/scdp/blog/woman-in-black-character-quotes/interior-design.php Type: Softcover. Print ISBN Primary MSC: Applied Math? MAA Book? Electronic Media?

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Source or Gift: false. Print Price 1 Label: List. Print Price 1: Print Price 2: Print Available to Order: true. Readership: Graduate students and research mathematicians interested in differential calculus. Reviews: Praise for the First Edition … Open Math Notes Open Math Notes is a repository of freely downloadable mathematical works in progress--including course notes, textbooks, and research expositions--provided as a service to researchers, teachers and students.

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