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Streaming data is one of the primary sources of what is known as big data. While data streams and big data have gotten a lot of attention in the recent decade, many research methodologies are often intended for well-behaved controlled problem settings, overlooking major obstacles given by real-world applications. The eight open difficulties for data stream mining are discussed in this book. Our goal is to discover gaps between present research and useful applications, to highlight unresolved issues, and to create new data stream mining research lines that are relevant to applications.