Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The term semi-infinite has several related meanings in various branches of pure and applied mathematics. It typically describes objects which are infinite or unbounded in some but not all possible ways. Generally, a semi-infinite set is bounded in one direction, and unbounded in another. For instance, the natural numbers are semi-infinite considered as a subset of the integers; similarly, the intervals (c,\infty) and (\infty,c) and their closed counterparts are semi-infinite subsets of \R. Half-spaces are sometimes described as semi-infinite regions. Semi-infinite regions occur frequently in the study of differential equations. For instance, one might study solutions of the heat equation in an idealised semi-infinite metal bar.
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