Functional Operators, Volume 1: Measures and Integrals. (AM-21)

by John von Neumann

Overview

Geometry of orthogonal spaces.

Product Details

ISBN-13:	9780691079660
Publisher:	Princeton University Press
Publication date:	01/21/1950
Series:	Annals of Mathematics Studies , #21
Pages:	268
Product dimensions:	8.25(w) x 11.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• FOREWORD, pg. v
• CHAPTER I . POINT SET THEORY, pg. 1
• CHAPTER II . OUTER MEASURE, pg. 12
• CHAPTER III. MEASURE, pg. 15
• CHAPTER IV. INNER MEASURE, pg. 24
• CHAPTER V. INVARIANCE OF MEASURE UNDER.TRANSFORMATIONS, pg. 27
• CHAPTER VI. COVERING THEOREMS, pg. 32
• CHAPTER VII. NON-MEASURABLE SETS, pg. 38
• CHAPTER VIII. LEBESGUE INTEGRAL, pg. 42
• CHAPTER IX. MONOTONIC FUNCTIONS, pg. 63
• CHAPTER X. GENERAL MEASURE FUNCTIONS AND OUTER MEASURES, pg. 83
• CHAPTER XI. PROPERTIES OF THE GENERAL INTEGRAL, pg. 174