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Transition states play a significant role in the function of enzymes, but to make use of this fact in the design of novel catalysts it is necessary to understand the underlying chemistry of these states. Although other texts touch upon transitions states in relation to enzymes and catalysis this is the first to provide a focused and comprehensive overview of the topic. It discusses how an understanding of transition states impacts drug discovery and the engineering of novel biocatalysts, and highlights key problems in the field that remain to be addressed. Combining both computational and experimental research, this accessible text is a useful reference for those studying enzyme catalysed reactions at a postgraduate level, as well as being a handy primer for the more advanced researcher.