Real Analysis

Introduction to Real Analysis

Introduction to Real Analysis

Introduction to Real Analysis, by William F. Trench, is for two-semester, junior/senior-level courses in introductory real analysis. Designed to fill the gaps left in the development of calculus as it is usually presented in the elementary course, this text introduces students to a rigorous understanding of mathematical analysis.

Real Variables with Basic Metric Space Topology

Real Variables with Basic Metric Space Topology

Download the complete book or individual chapters of Real Variables with Basic Metric Space Topology, by Robert B. Ash, in pdf format.

Mathematical Analysis I

Mathematical Analysis I

This free ebook carefully leads the student through the basic topics of undergraduate real analysis. This text is appropriate for any undergraduate mathematics course in real analysis or mathematical analysis, or for a preparatory class for beginning mathematics graduate students who will later advance to courses in measure theory and functional analysis. Knowledge of this material will also be of benefit to graduate students in economics, signal and image processing, fluid and structural mechanics, etc.