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I am a research mathematician interested in Real & Functional Analysis, Operator Theory, Linear Algebra and Measure Theory.
I am also always on the hunt for good books for these topics to be prescribe to my students.
Present adoption:
1) Real Analysis - Elements of Real Analysis by Robert Bartle
2) Functional Analysis - Introductory Functional Analysis With Applications by Kreyszig
3) Linear Algebra - Linear Algebra by Stephen H. Friedberg, Arnold J. Insel and Lawrence E. Spence
4) Measure Theory - Measure Theory by P. R. Halmos.