# ePub A Course in Advanced Calculus download

# by Robert S. Borden

Prior to reading Borden's book, I read Angus E. Taylor's General Theory of Functions and Integration.

Prior to reading Borden's book, I read Angus E.

A Course in Advanced Calculus. This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. The author achieves this ambitious undertaking by shifting easily from one related subject to another.

This excellent undergraduate calculus text offers students an unusual perspective on concepts of integration in Euclidean spaces and their relationship to other mathematical areas. Subjects include sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, and more.

A Course in Advanced Calculus book.

Courier Corporation, 11 сент. A Course in Advanced Calculus Dover Books on Mathematics. Издание: перепечатанное. Courier Corporation, 2012. 0486150380, 9780486150383.

A Course in Advanced Calculus - Robert S. Borden

A Course in Advanced Calculus - Robert S. Borden. This book has been a long time in developing, but the original goal of the author has remained unchanged: to present a course in calculus that would unify the concepts of integration in Euclidean space while at the same time giving the student a feeling for some of the other areas of mathematics which are intimately related to mathematical analysis

Автор: Borden, Robert S. Название: A Course in Advanced Calculus Издательство: Dover Классификация .

Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments.

series Dover Books on Mathematics. Thus, discussions of topology, linear algebra, and inequalities yield to examinations of innerproduct spaces, Fourier series, and the secret of Pythagoras.

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p. cm. "Contains the unabridged and slightly corrected text of the work first published by North Holland/Elsevier Science Publishing C. In. New York, in 1983. CHAPTER 1 SETS AND STRUCTURES . SETS It is fitting that we begin this course in advanced calculus by introducing the concept of a set, perhaps the most fundamental idea in all mathematics. Having done this, we can proceed in any number of directions, building different kinds of mathematics by imposing various structures on sets.

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