Real analysis
Emmanuele DiBenedetto
Birkhäuser Boston
Measure theory, integration, weak differentiation of functions, and basic introduction to functional analysis are topics studied by virtually all graduate students in mathematics and applied sciences.    <P>Analysis: Foundations and Applications covers the core mathematical topics of the subject, and will particularly attract the reader with a more applied view. The focus of this modern text is to prepare the potential researcher to a way of thinking in applied mathematics and partial differential equations.   The exposition is hands-on and accommodating to this group with little or no unnecessary abstractions    <P>This text covers the core mathematical topics of analysis and will attract the reader with a more applied view. The focus is to prepare the potential researcher to a "way of thinking" in applied mathematics and partial differential equations. The exposition is hands-on and accommodating to this group with little or no unnecessary abstractions.  May be used in an introductory graduate course in analysis and measure theory, or as a preparatory text for students and researchers expecting to work in analysis, PDEs, and applied mathematics. It is a solid building block for approximation theory and probability, and it provides an excellent background for PDEs and the calculus of variations.