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Preface.- 1. The Haar System: Basic Facts and Classical results.- 2. Projections, Isomorphisms, and Interpolation.- 3. Combinatorics of Colored Dyadic Intervals.- 4. Martingale H^1 Spaces.- 5. Isomorphic Invariants for H^1.- 6. Atomic H^1 Spaces.- Bibliography.- List of Symbols.- Index.