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Real Analysis by Norman B. Haaser & Joseph Arthur Sullivan is a mathematics available to read on EtoBox.

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Front matter Preface Contents 1 Sets and Relations 1 INTRODUCTION 2 SETS 3 RELATIONS FUNCTIONS 4 PARTIAL ORDERS AND EQUIVALENCE RELATIONS 5 COUNTABLE SETS 6 UNCOUNTABLE SETS 2 The Real Number System 1 INTRODUCTION 2 ORDERED RINGS ANO FIELDS 3 CAUCHY SEQUENCES 4 THE REAL NUMBERS S COMPLETENESS OF THE REAL NUMBER SYSTEM 6 THE COMPLEX NUMBERS 3 Linear Spaces 2 LINEAR SPACES 3 HAMEL BASES 4 LlNEAR TRANSFORMATIONS 5 ALGEBRAS 4 Metric Spaces I INTRODUCTION 2 METRIC SPACES 3 OPEN AND CLOSED SETS 4 CONTINUITY 5 TOPOLOGICAL SPACES 6 CONVERGENCE AND COMPLETENESS 7 COMPLETION OF A METRIC SPACE 8 COMPACTNESS 9 SEQUENTIAL COMPACTNESS 10 HEINE-BOREL AND ARZELA-ASCOLI THEOREMS 11 CONNECTEDNESS 5 A Fixed-Point Theorem: Applications 1 INTRODUCTION 2 A FIXED-POINT THEOREM 3 LlNEAR ALGEBRAIC EQUATIONS 4 lNTEGRAL EQUATIONS 5 DIFFERENTIAL EQUATIONS 6 The Lebesgue Integral l INTRODUCTION 2 THE RIEMANN-INTEGRAL 3 STEP FUNCTIONS 4 SETS OF MEASURE ZERO 5 THE RIEMANN INTEGRAL CONTINUED 6 EXTENSION OF THE INTEGRAL OF STEP FUNCTIONS 7 THE LEBESGUE INTEGRAL 8 SOME CONVERGENCE THEOREMS 9 FUBINI'S THEOREM 10 MEASURABLE FUNCTIONS 11 COMPLEX-VALUED FUNCTIONS 12 MEASURABLE SETS 13 MEASURE 14 THE LEBESGUE INTEGRAL

Who reads Real Analysis?

Author

Norman B. Haaser & Joseph Arthur Sullivan

Publisher

Van Nostrand Reinhold Company

Language

EN

Category

mathematics

Subjects

Mathematics, Analysis, Stem

Rating

4.6 / 5 (80 ratings)

Updated

2026-03-14