Boolean algebras in analysis

Foreword to the English Translation. Denis Artem'evich Vladimirov (1929-1994). Preface. Introduction. Part I: General Theory of Boolean Algebras. 0. Preliminaries on Boolean Algebras. 1. The Basic Apparatus. 2. Complete Boolean Algebras. 3. Representation of Boolean Algebras. 4. Topologies on Boolean Algebras. 5. Homomorphisms. 6. Vector Lattices and Boolean Algebras. Part II: Metric Theory of Boolean Algebras. 7. Normed Boolean Algebras. 8. Existence of a Measure. 9. Structure of a Normed Boolean Algebra. 10. Independence. Appendices. Prerequisites to Set Theory and General Topology. 1. General remarks. 2. Partially ordered sets. 3. Topologies. Basics of Boolean Valued Analysis. 1. General remarks. 2. Boolean valued models. 3. Principles of Boolean valued analysis. 4. Ascending and descending. References. Index.