Measure, Lebesgue Integral and Hilbert Space, A.N. Kolmogorov and S.V. Fomin

Judul/Title: Measure, Lebesgue Integrals, and Hilbert Space
Penulis/Author: A.N. Kolmogorov and S.V. Fomin
Penerbit/Publisher: Academic Press
Edisi/Edition: 1961
Halaman/Pages: 143
Dimensi/Dimension: 15.5 x 22.5 x 1cm
Sampul/Cover: Hardcover & Hardcopy
Bahasa/Language: English
Harga/Price: Rp. 125.000,-
Call No.:
Status: Ada/Available
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This book is a translation of A.N.Kolmogorov and S.V. Fomin's book "Elementary Teorii Funktsii i Funktsional'nogo Analiza, II. Mera, Integral lebega i Prostranstvo Hilberta" (1960).
An English translation of the first part of this work was prepared by Leo F. Boron and published by Graylock Press in 1957 and is mentioned in [A] of the suggested reading matter added at the end of the present book.

The approach adopted by the Russian authors should be of great interest to many students since the concept of a semiring is introduced early on in the book and is made to play a fundamental role in the subsequent development of the notions of measure and integral. Of particular value to the student is the initial chapter in which all the ideas of measure are introduced in a geometrical way in terms of simple rectangles in the unit square. Subsequently the concept of measure is introduced in complete generality, but frequent back references to the simpler introduction do much to clarify the more sophisticated treatment of later chapters.

A number of errors and inadequacies of treatment noted by the Russian authors in their first volume are listed at the back of their second book and have been incorporated into our translation. The only change we have made in this addenda is to re-ference it in terms of the English Translation.

In this edition the chapters and sections have been numbered to make them independent of the numbering of the first part of the book and to emphasize the self-contained character of the work.