The lecture notes will be updated during the course. Please avoid unnecessary printing.
V.I. Bogachev, Measure Theory 1 and 2, Springer 2007.
A.M. Bruckner, J.B. Bruckner, and B.S. Thomson, Real Analysis, Prentice-Hall 1997
D.L. Cohn, Measure Theory (2nd edition), Birkhäuser 2013.
L.C. Evans and R.F. Gariepy, Measure Theory and Fine Properties of Functions, CRC Press 1992
G.B. Folland, Real Analysis. Modern Techniques and Their Applications (2nd edition), John Wiley & Sons 1999
F. Jones, Lebesgue Integration on Euclidean Space (revised edition), Jones and Bartlett Publishers 2001
K.L. Kuttler, Modern Real Analysis, CRC Press 1998
P. Mattila, Geometry of Sets and Measures in Euclidean Spaces. Fractals and Rectifiability, Cambridge University Press 1995
W. Rudin, Real and Complex Analysis, McGraw-Hill 1986
E. Stein and R. Sakarchi, Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Princeton University Press 2005
M.E. Taylor, Measure Theory and Integration, American Mathematical Society 2006
R.L. Wheeden and A. Zygmund, Measure and Integral: An introduction to Real Analysis, Marcel Dekker 1977
W.P. Ziemer, Modern Real Analysis, PWS Publishing Company 1995
J. Yeh, Real Analysis, Theory of Measure and Integration (2nd edition), World Scientific 2006