Measure and Integration Revised Edition (Measure Theory & Functional Analysis)

✍ Scribed by Keshawa Prasad Gupta B.Sc. (Hons)., M.Sc. Department of Mathematics P.P.N. College Kanpur (U.P.) Ashutosh Shanker Gupta M.E. (Automatic Manufacturing System) Birla Institute of Technology, Mesra, Ranchi

• Publisher: KRISHNA Prakashan Media (P) Ltd. KRISHNA HOUSE, 11, Shivaji Road, Meerut-250 001 (U.P.), India
• Tongue: English
• Leaves: 575
• Category: Library

✦ Table of Contents

Measure and Integration
Dedication 1
Dedication 2
Preface
Syllabus (Meerut)
Brief Contents
Detailed Contents 1
Detailed Contents 2
Detailed Contents 3
Detailed Contents 4
Detailed Contents 5
Detailed Contents 6
Detailed Contents 7
Detailed Contents 8
Detailed Contents 9
Chapter 1: Basic Concepts of Set and Basic Set Operations
Chapter 2: Functions and Sequences
Chapter 3: Ordered Sets
Chapter 4: Bounded Sets, Derived Sets, Open Sets and Closed Sets on the Real Line
Chapter 5: Countability of Sets
Chapter 6: Measure and Outer Measure
Chapter 7: Lebesgue Measure of a Set
Chapter 8: Measurable Functions
Chapter 9: The Lebesgue Integral of a Function
Chapter 10: Theorems on Convergence of Sequences of Measurable Functions
Chapter 11: Absolute Continuous Functions, Indefinite Integraland Differentiation
Chapter 12: L p -Spaces
Chapter 13: Further Theorems on Lebesgue Integration
Chapter 14: The Weierstrass Approximation Theorem and Semi-Continuous Functions
Chapter 15: Signed Measure
Chapter 16: Product Measure
Chapter 17: Fourier Series
Chapter 18: Banach Space
Chapter 19: Hilbert Space
Chapter 20: Finite Dimensional Spectral Theory
Chapter 21: Banach Algebra