Can I read Real Variables on EtoBox?

Real Variables by Alberto Torchinsky is a book available to read on EtoBox.

What is Real Variables about?

Cover 1 Title Page 2 Copyright Page 3 Dedication 4 Author’s Foreword 6 Table of Contents 10 Chapter I: Cardinal Numbers 14 Sets 14 Functions and Relations 16 Equivalent Sets 18 Cardinals 21 Problems and Questions 24 Chapter II: Ordinal Numbers 28 Ordered Sets 28 Well-ordered Sets and Ordinals 30 Applications of Zorn’s Lemma 33 The Continuum Hypothesis 36 Problems and Questions 36 Chapter III: The Riemann-Stieltjes Integral 40 Functions of Bounded Variation 40 Existence of the Riemann-Stieltjes Integral 45 The Riemann-Stieltjes Integral and Limits 51 Problems and Questions 53 Chapter IV: Abstract Measures 58 Algebras and σ-algebras of Sets 58 Additive Set Functions and Measures 62 Properties of Measures 66 Problems and Questions 71 Chapter V: The Lebesgue Measure 76 Lebesgue Measure on Rn 76 The Cantor Set 86 Problems and Questions 87 Chapter VI: Measurable Functions 92 Elementary Properties of Measurable Functions 92 Structure of Measurable Functions 102 Sequences of Measurable Functions 104 Problems and Questions 111 Chapter VII: Integration 118 The Integral of Nonnegative Functions 118 The Integral of Arbitrary Functions 127 Riemann and Lebesgue Integrals 133 Problems and Questio

Author

Alberto Torchinsky

Language

EN