This book aims to perform a critical and broad assessment of the historiography of science produced from the late nineteenth century to the early twenty-first century. It presents its main authors, concepts, ideas, conceptions, and schools. It also analyzes the historical circumstances of the rise of the discipline history of science and the relations of the historiography of science with related areas. These chapters do not understand the historiography of science as a mere description or record of the history of science. Instead, they understand the historiography of science from the epistemological criteria and choices that guided the writing of the history of science in its different contexts. In other words, more than describing the record of the various possibilities of historiographical approaches to science, the chapters carry out an epistemological reflection to assess the bases, possibilities, scope, and limits of different historiographical conceptions, authors, and traditions that have established the writing of the history of science. This book can be conceived as a reference work not only for professional historians and philosophers but also for academics from different backgrounds who are initiating themselves in the universe of history and philosophy of science, be they scientists from different fields or young researchers from different backgrounds who want to start studying the history and philosophy of science.