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We summarize a book under publication with his title written by the threepresent authors, on the theory of Zipf's law, and more generally of power laws,driven by the mechanism of proportional growth. The preprint is available uponrequest from the authors.  For clarity, consistence of language and conciseness, we discuss the originand conditions of the validity of Zipf's law using the terminology of firms'asset values. We use firms at the entities whose size distributions are to beexplained. It should be noted, however, that most of the relations discussed inthis book, especially the intimate connection between Zipf's and Gilbrat'slaws, underlie Zipf's law in diverse scientific areas. The same models andvariations thereof can be straightforwardly applied to any of the other domainsof application.

Theory of Zipf's Law and of General Power Law Distributions with Gibrat's law of Proportional Growth