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REAL ANALYSIS - Centro de Matemática
www.cmat.edu.uy3 Difierentiability of functions 114 3.1 Functions of bounded variation 115 3.2 Absolutely continuous functions 127 3.3 Difierentiability of jump functions 131 4 Rectiflable curves and the isoperimetric inequality 134 4.1* Minkowski content of a curve 136 4.2* Isoperimetric inequality 143 5 Exercises 145 6 Problems 152 Chapter 4.
PROPOSED SYLLABUS FOR ‘Mathematical Science'
csirhrdg.res.inMonotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure, Lebesgue integral. Functions of several variables, directional derivative, partial derivative, derivative as a linear transformation, inverse and implicit function theorems.