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Applications of Hyperstructure Theory by Piergiulio Corsini, Violeta Leoreanu
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About this book :-
Applications of Hyperstructure Theory written by
Piergiulio Corsini, Violeta Leoreanu
This text is analyzes the theory of normed linear spaces and of linear mappings between such spaces, providing the necessary foundation for further study in many areas of analysis. Strives to generate an appreciation for the unifying power of the abstract linear-space point of view in surveying the problems of linear algebra, classical analysis, and differential and integral equations.
This second edition incorporates recent developments in functional analysis to make the selection of topics more appropriate for current courses in functional analysis. Additions to this new edition include: a chapter on Banach algebras, and material on weak topologies and duality, equicontinuity, the Krein-Milman theorem, and the theory of Fredholm operators. Greater emphasis is also placed on closed unbounded linear operators, with more illustrations drawn from ordinary differential equations.
PIERGIULIO CORSINI, Department of Mathematics and Computer Sciences, University of Udine, Udine, Italy and
VIOLETA LEOREANU, Faculty of Mathematics, "AU Cuza" University, Romania
Book Detail :-
Title: Applications of Hyperstructure Theory
Edition:
Author(s): Piergiulio Corsini, Violeta Leoreanu
Publisher:
Series:
Year:
Pages: 332
Type: PDF
Language: English
ISBN: 978-1-4419-5245, 978-1-4757-3714-1
Country: Italy
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Book Contents :-
Applications of Hyperstructure Theory written by
Piergiulio Corsini, Violeta Leoreanu
cover the following topics.
Introduction
1. Basic notions and results on Hyperstructure Theory
2. Graphs and Hypergraphs
3. Binary Relations
4. Lattices
5. Fuzzy sets and rough sets
6. Automata
7. Cryptography
8. Codes
9. Median algebras, Relation algebras, C-algebras
10. Artificial Intelligence
11. Probabilities
Bibliography
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