Analysis From Concepts to Applications

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...

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Bibliographic Details
Main Author: Penot, Jean-Paul
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Universitext
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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