Boolean Valued Analysis (Mathematics and Its Applications)

Description

Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different set-theoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the so-called non-standard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the procedures of ascending and descending, the two natural functors acting between a new Boolean valued universe and the von Neumann universe.

This book demonstrates the main advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals, operators to functionals, and vector-functions to numerical mappings. Boolean valued representations of algebraic systems, Banach spaces, and involutive algebras are examined thoroughly.

Audience: This volume is intended for classical analysts seeking powerful new tools, and for model theorists in search of challenging applications of nonstandard models.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Boolean Valued Analysis (Mathematics and Its Applications)" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 2573
2. Set Theory : Boolean-Valued Models and Independence Proofs
3. Set Theory : Boolean-Valued Models and Independence Proofs
4. Norm Estimations for Operator Valued Functions and Their Applications (Pure and Applied Mathematics): Michael Gil
5. Operator-valued Measures and Integrals for Cone-valued Functions
6. Operator-valued Measures and Integrals for Cone-valued Functions
7. Set-Valued Analysis (Modern Birkhäuser Classics)
8. Topological Methods For Set-Valued Nonlinear Analysis
9. Cryptographic Boolean Functions and Applications
10. [share_ebook] Cryptographic Boolean Functions and Applications
11. [share_ebook] Cryptographic Boolean Functions and Applications
12. Infinitesimal Analysis (Mathematics and Its Applications)
13. Vector Optimization: Set-valued and Variational Analysis (Lecture Notes in Economics and Mathematical Systems)
14. Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics
15. Sobolev Spaces in Mathematics II: Applications in Analysis and Partial Differential Equations
16. Topics on Analysis in Metric Spaces (Oxford Lecture Series in Mathematics and Its Applications, 25)