Banach Fréchet Hilbert and Neumann Spaces 1st Edition by Jacques Simon ISBN 1786300095 978-1786300096

Banach, Fréchet, Hilbert and Neumann Spaces 1st Edition by Jacques Simon – Ebook PDF Instant Download/Delivery: 1786300095, 978-1786300096

Full download Banach, Fréchet, Hilbert and Neumann Spaces 1st Edition after payment

Product details:

ISBN 10: 1786300095 

ISBN 13: 978-1786300096

Author:  Jacques Simon

This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics.

Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fréchet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces.

The author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces.

Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers without restricting or generalizing the results.

Table of contents: 

1. Chapter 1 Prerequisites

2. Chapter 2 Semi-normed Spaces

3. Chapter 3 Comparison of Semi-normed Spaces

4. Chapter 4 Banach, Fréchet and Neumann Spaces

5. Chapter 5 Hilbert Spaces

6. Chapter 6 Product, Intersection, Sum and Quotient of Spaces

7. Chapter 7 Continuous Mappings

8. Chapter 8 Images of Sets Under Continuous Mappings

9. Chapter 9 Properties of Mappings in Metrizable Spaces

10. Chapter 10 Extension of Mappings, Equicontinuity

11. Chapter 11 Compactness in Mapping Spaces

12. Chapter 12 Spaces of Linear or Multilinear Mappings

13. Chapter 13 Duality

14. Chapter 14 Dual of a Subspace

15. Chapter 15 Weak Topology

16. Chapter 16 Properties of Sets for the Weak Topology

17. Chapter 17 Reflexivity

18. Chapter 18 Extractable Spaces

19. Chapter 19 Differentiable Mappings

20. Chapter 20 Differentiation of Multivariable Mappings

21. Chapter 21 Successive Differentiations

22. Chapter 22 Derivation of Functions of One Real Variable

People also search for:

 banach and hilbert spaces
    
banach space and hilbert space
    
banach space theory
    
banach spaces
    
hilbert space and banach space

Tags: Jacques Simon, Banach, Fréchet, Hilbert, Neumann Spaces