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

by John von Neumann

Overview

Geometry of orthogonal spaces.

Product Details

ISBN-13:	9781400881895
Publisher:	Princeton University Press
Publication date:	03/02/2016
Series:	Annals of Mathematics Studies , #21
Sold by:	Barnes & Noble
Format:	eBook
Pages:	272
File size:	20 MB
Note:	This product may take a few minutes to download.

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