Royden, H.L. <br/><br/>
Real analysis 

 - 4th ed. 
 - New Delhi:  Pearson,  2017. 
 - xii, 497p.;  PAPER BACK  23 cm. 
<br/><br/> Mathematics 
<br/><br/>Contents:<br/>Preface;<br/>I: Lebesgue Integration for Functions of a Single Real Variable; Preliminaries on Sets, Mapping, and Relations;<br/>1. The Real Numbers: Sets, Sequences, and Functions<br/>2. Lebesgue Measure<br/>3. Lebesgue Measurable Functions<br/>4. Lebesgue Integration<br/>5. Lebesgue Integration: Further Topics<br/>6. Differentiation and Integration<br/>7. The Lp Spaces: Completeness and Approximation<br/>8. The Lp Spaces: Duality and Weak Convergence<br/>II: Abstract Spaces: Matric, Topological, Branch, and Hilbert Spaces<br/>9. Metric Spaces: General Properties<br/>10. Metric Spaces: Three Fundamental Theorems<br/>11. Topological Spaces: General Properties<br/>12. Topological Spaces: Three Fundamental Theorems<br/>13. Continuous Linear Operators Between Branch Spaces<br/>14. Duality for Normed Linear Spaces<br/>15. Compactness Regained: The Weak Topology<br/>16. Continuous Linear Operators on Hilbert Spaces<br/>III: Measures and Integration: General Theory<br/>17. General Measure Spaces: Their Properties and Construction<br/>18. Integration Over General Measure Spaces<br/>19. General Lp Spaces: Completeness, Duality, and Weak Convergence<br/>20. The Construction of Particular Measures<br/>21. Measure and Topology<br/>22. Invariant Measures;<br/>Bibliography; Index. 
<br/><br/> Real Analysis 
<br/><br/><label>ISBN: </label>9789332551589 
<br/><br/><label>Subjects--Index Terms: </label>Mathemetics 
<br/><br/><label>Dewey Class. No.: </label>517.52  / ROY