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.