𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Real analysis: Theory of measure and integration

✍ Scribed by J. Yeh


Book ID
127456341
Publisher
World Scientific Publishing Company
Year
2006
Tongue
English
Weight
4 MB
Edition
2
Category
Library
ISBN-13
9789812566539

No coin nor oath required. For personal study only.

✦ Synopsis


This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.


πŸ“œ SIMILAR VOLUMES


Real analysis: Theory of measure and int
✍ J. Yeh πŸ“‚ Library πŸ“… 2006 πŸ› World Scientific Publishing Company 🌐 English βš– 4 MB

This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certa

Real analysis: measure theory, integrati
✍ Elias M. Stein, Rami Shakarchi πŸ“‚ Library πŸ“… 2005 πŸ› Princeton University Press 🌐 English βš– 2 MB

Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and H

Integration and Modern Analysis Volume 2
✍ Benedetto, John J.; Czaja, Wojciech πŸ“‚ Article πŸ“… 2009 πŸ› BirkhΓ€user Boston 🌐 English βš– 951 KB

This textbook and treatise begins with classical real variables, develops the Lebesgue theory abstractly and for Euclidean space, and analyzes the structure of measures. The authors' vision of modern real analysis is seen in their fascinating historical commentary and perspectives with other fields.

Real analysis: an introduction to the th
✍ Jewgeni H. Dshalalow πŸ“‚ Library πŸ“… 2001 πŸ› Chapman and Hall/CRC 🌐 English βš– 3 MB

Designed for use in a two-semester course on abstract analysis, REAL ANALYSIS: An Introduction to the Theory of Real Functions and Integration illuminates the principle topics that constitute real analysis. Self-contained, with coverage of topology, measure theory, and integration, it offers a thor