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PREFACE In this "collection" there is an interesting collaboration between Mathematics and its History, corresponding to Antonio Cipriano the development of the mathematical contents (and the prologue of this volume) and to María José the search and updating of the historical annotations. This book, which is not yet a self-sufficient manual, began its journey in a fragmented way: on the one hand, I had various summaries of the units, on the other, abundant relations of exercises and, finally, historical notes on the development of some themes Of the mattery. As time passed I gathered the first two parts, because it was more comfortable for the classes, and I started to work on that prelibro with the students. As a result of this work I reorganized, I added, I removed, diverse ideas, sometimes nuances, or complete sections. It was not until this year when at the beginning of the course I decided to give definitive form to all the material and to add the historical notes that María had written Joseph. From this perspective, it was a new experience for me to introduce students to a "book" of mathematics with historical reviews, and my surprise has been a big one, because it has been very well received among them and, although the programming requirements are not all The reviews have been able to read and comment in class, I think its inclusion has been a success, as the students as they read some comments or curious details, and his interest encouraged me to read more about the History of Mathematics That excites me) and to Maria Jose to document and write more exciting sections in which some events of the mathematical history are told and its creators are spoken: the mathematicians, "that species of rare beings who like to fill slates and leaves In the blank of symbols which, in general, for the rest of beings are no longer signs without meaning and above all to which they are not seen a clear utility "; And of ideas: mathematical concepts.PREFACE In this "collection" there is an interesting collaboration between Mathematics and its History, corresponding to Antonio Cipriano the development of the mathematical contents (and the prologue of this volume) and to Maria José the search And updating of the historical annotations. This book, which is not yet a self-sufficient manual, began its journey in a fragmented way: on the one hand, I had several summaries of the units, on the other, abundant relations of exercises and, finally, historical notes on the Development of some themes of the mattery. The time passed I gathered the first two parts, because it was more comfortable for the classes, and I started to work on that prelibro with the students. As a result of this work I reorganized, I added, I removed, diverse ideas, sometimes nuances, or complete sections. It was not until this year when the beginning of the course I decided to give definitive form to all the material and to add the historical notes that Maria had written Joseph. From this perspective, it was a new experience for me to introduce students to a "book" of mathematics with historical reviews, and my surprise has been a big one, because it has been very well received among them and although the programming requirements are Not all the reviews have been able to read and comment on class, I think its inclusion has been a success, as the students as they read some comments or curious details, and his interest encouraged to read more about the History of Mathematics That excites Me) and to Maria Jose to document and write more exciting sections in which some events of the mathematical history are told and their creators are spoken: the mathematicians, "that species of rare beings who like to fill slates and leaves In the blank of symbols Which, in general, for the rest of beings are no longer signs without meaning and above all to which they are not seen to clear utility "; And ideas: mathematical concepts.