Analysis From Concepts to Applications /

• Κύριος συγγραφέας: Penot, Jean-Paul (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Universitext,
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.