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
A Course in Advanced Calculus
โ Scribed by Borden R.
- Publisher
- Dover Publications
- Year
- 1997
- Tongue
- English
- Leaves
- 430
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems. Tips and Solutions for Selected Problems.
โฆ Table of Contents
Math - Dover - Robert Borden 1983 cover.pdf......Page 1
Math - Dover - Robert Borden 1983 - A Course in Advanced Calculus text 000-178.pdf......Page 5
Math - Dover - Robert Borden 1983 - A Course in Advanced Calculus text 179-.pdf......Page 192
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A rigorous introduction to calculus in vector spacesThe concepts and theorems of advanced calculus combined with related computational methods are essential to understanding nearly all areas of quantitative science. Analysis in Vector Spaces presents the central results of this classic subject throu
Preface. PART I BACKGROUND MATERIAL. 1 Sets and Functions. 1.1 Sets in General. 1.2 Sets of Numbers. 1.3 Functions. 2 Real Numbers. 2.1 Review of the Order Relations. 2.2 Completeness of Real Numbers. 2.3 Sequences of Real Numbers. 2.4 Subsequences. 2.5 Series of Real Numbers. 2.6 Intervals and Co