Introduction to Real Analysis
Will be published approx. on 31. May 1988
Book
Paperback/Softback
368 pages
978-0-471-85391-6 (ISBN)
Description
Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations research, and engineering.
More details
Persons
John DePree and Charles Swartz are the authors of Introduction to Real Analysis, published by Wiley.
Content
Preliminaries. Real Numbers. Sequences. Infinite Series. Euclidean Spaces. Limits of Functions. Continuity and Uniform Continuity. Sequences of Functions. The Riemann Integral Reviewed. The Gauge Integral. The Gauge Integral Over Unbounded Intervals. Convergence Theorems. Multiple Integrals. Convolution and Approximation. Metric Spaces. Topology in Metric Spaces. Continuity. Complete Metric Spaces. Contraction Mappings. The Baire Category Theorem. Compactness. Connectedness. The Stone--Weierstrass Theorem. Differentiation of Vector--valued Functions. Mapping Theorems. Bibliography. Index.