Analysis From Concepts to Applications /

• Main Author: Penot, Jean-Paul (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Universitext,
• Subjects: Mathematics.; Functional analysis.; Measure theory.; Partial differential equations.; Functional Analysis.; Measure and Integration.; Partial Differential Equations.

This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results t...

Table of Contents:

• Sets, Orders, Relations and Measures
• Encounters With Limits
• Elements of Functional Analysis
• Hilbert Spaces
• The Power of Differential Calculus
• A Touch of Convex Analysis
• Integration
• Differentiation and Integration
• Partial Differential Equations
• Evolution Problems
• References
• Index.