Author(s): J.A. Schreiber
Publisher: Mir Publishers, Central Books Ltd
Year: 1975
Language: English
Pages: 279
City: Moscow
Front Cover
Title Page
From the Introduction to the Russian Edition
Preface
Contents
List of Symbols
Introduction
Chapter I RELATIONS
§ 1. How a Relation is Given
§ 2. Functions as Relations
§ 3. Operations on Relations
§ 4. Algebraic Properties of Operations
§ 5. Properties of Relations
§ 6. Invariance of Properties of Relations
Chapter II IDENTITY AND EQUIVALENCE
§ 1. From Identity to Equivalence
§ 2. Formal Properties of Equivalence
§ 3. Operations on Equivalences
§ 4. Equivalence Relations on the Real Axis
Chapter III RESEMBLANCE AND TOLERANCE
§ 1. From Resemblance to Tolerance
§ 2. Operations on Tolerances
§ 3. Tolerance Classes
§ 4. A Further Exploration of the Structure of Tolerances
Chapter IV ORDERING
§ 1. What is Order?
§ 2. Operations on Order Relations
§ 3. Tree Orders
§ 4. Sets with Several Orders
Chapter V RELATIONS IN SCHOOL MATHEMATICS
§ 1. Relations Between Geometric Objects
§ 2. Relations Between Equations
Chapter VI MAPPINGS OF RELATIONS
§ 1. Homomorphisms and Correlations
§ 2. Minimal Image and Canonical Completion of a Relation
Chapter VII EXAMPLES FROM MATHEMATICAL LINGUISTICS
§ 1. Syntactical Structures
§ 2. The General Concept of a Text
§ 3. Compatibility Models
§ 4. A Formal Problem in Decoding Theory
§ 5. On Distributions
APPENDIX
§ 1. Summary of the Main Types of Relations and Their Properties
§ 2. Elementary Facts about Sets
§ 3. What is a Model?
§ 4 . Real Objects and Set-Theoretical Concepts*
Index*
Back Cover
