Theorems and counterexamples in mathematics /
Bernard R. Gelbaum, John M.H. Olmsted.
- xxxiv, 305 pages : illustrations ; 25 cm.
- Problem books in mathematics .
- Problem books in mathematics. .
Includes bibliographical references (pages 233-247) and index.
Preface -- Guide -- Algebra -- Group Theory -- Algebras -- Linear Algebra -- Analysis -- Classical Real Analysis -- Measure Theory -- Topological Vector Spaces -- Topological Algebras -- Differential Equations -- Complex Variable Theory -- Geometry/Topology -- Euclidean Geometry -- Topological Spaces -- Exotica in Differential Topology -- Probability Theory -- Independence -- Stochastic Processes -- Transition Matrices -- Foundations -- Logic -- Set Theory -- Bibliography -- Supplemental Bibliography -- Symbol List -- Glossary/Index. 1. 1.1. 1.2. 1.3. 2. 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 3. 3.1. 3.2. 3.3. 4. 4.1. 4.2. 4.3. 5. 5.1. 5.2.