Beschreibung:
Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory.
Preface.- Spaces of Summable Functions and Partial Differential Equations.- Convex Sets and Convex Functions.- The Formalism of the Calculus of Variations.- Differential Forms.- Measures and Integrations.- Hausdorff and Radon Measures.- Mathematicians and Other Scientists.- Bibliographical Notes.- Index.