Una vcz quc dominamos 10s problemas de calcular sumas y muitiplicaciones de nhmeros mtuvimos m condicionm dc aplicar atas operaciones binarias a la solucion de problemas. A menudo lor problemas llevaban a ecuaciones quc contcnian algun numero desconocido x quc era ncaario determinar. La ecuaci6n lineal aditiva sicmpn tiene solucibn numtri- ca; tambib la multiplicativa, siemm que a f 0. Sin embargo, a t o no cs poaible para toda operacibn binaria. No debcmos ncurrir a la resta, p u a lo que nos ocupa es la soluci6n en tirminos de una sola operacion binaria, en es c caso, la suma.
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Shelves: mathematics This is possibly one of the most elegant books on mathematics I have ever read. The best part of this book is the range of difficulty in exercises.
Not only is this book good for learning algebra, it is good for learning the art of doing mathematics.
The only one criticism I have on the book is its glossed hand-waving This is possibly one of the most elegant books on mathematics I have ever read.
The only one criticism I have on the book is its glossed hand-waving treatment for homological algebra which the author could very well have just left out completely which gives a slightly misleading idea on what homological algebra is about.
In my opinion, homological algebra is too sophisticated of a subject to treat in a textbook like this. I used this book for my first step in abstract algebra.
It is clearly written and also well-motivated. Beside the basic part of algbra, it also contains some introductions to Sylow theorem and Galois theory and also some topics related to other areas such as the introduction to algebraic topology.
It offers abundant examples after each definition and theorem and the exercises after each section I believe this is one of the most succesful textbook designed for the beginners of abstract algebra. It offers abundant examples after each definition and theorem and the exercises after each section involving some true-or-false questions to help you clarify your concept.
Most of the problems are not too difficult, and for some harder problems the author also gives hints. In my opinion, this book is appropriate to use both as a class material and as a book for self-studying. To sum up, I recommand this good book to all beginners of abstract algebra!!
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