Modern Real Analysis

Provides a foundation for further study in partial differential equations

Completely self-contained text equips readers with the fundamentals of graduate real analysis

New edition extensively revised and updated

Supplies frequent opportunities to practice techniques

Provides a foundation for further study in partial differential equations Completely self-contained text equips readers with the fundamentals of graduate real analysis New edition extensively revised and updated Supplies frequent opportunities to practice techniques

Autorentext

William P. Ziemer is Professor Emeritus of Mathematics at Indiana University, and is the author of the highly influential GTM (vol. 120), Weakly Differentiable Functions.

Monica Torres is Associate Professor of Mathematics at Purdue University, specializing in geometric measure theory and partial differential equations.

Inhalt
Preface.- 1. Preliminaries.- 2. Real, Cardinal and Ordinal Numbers.- 3. Elements of Topology.- 4. Measure Theory.- 5. Measurable Functions.- 6. Integration.- 7. Differentiation.- 8. Elements of Functional Analysis.- 9. Measures and Linear Functionals.- 10. Distributions.- 11. Functions of Several Variables.- Bibliography.- Index.