Real Analysis

The focus of this modern graduate text in real analysis is to prepare the potential researcher to a rigorous "way of thinking" in applied mathematics and partial differential equations. The book will provide excellent foundations and serve as a solid building block for research in approximation theory and probability, analysis, PDEs, and the calculus of variations. May be used in an introductory graduate course in analysis and measure theory, or as a preparatory text by anyone expecting to work in analysis, PDEs, and applied mathematics.