Infinite Abelian Groups. by Irving Kaplansky (PDF)

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Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Kaplansky explicitly states in the forward that this book is not so much aimed at those wanting to learn about infinite abelian groups, but rather at those wanting to learn about infinite algebra. While this book is certainly a superb introduction to the theory of infinite abelian groups, it does a better job of teaching familiarity with the methods of proof commonly used in more advanced mathematics. As such, the book is extremely accessible, requiring only the absolute basics of group theory. On the other hand, it does require a certain level of “mathematical maturity,” the ability to learn with a minimum of motivation and fill in gaps in proofs. For the specialist looking for a reference on infinite abelian groups, I would recommend both volumes of Laszlo Fuchs’

⭐, which is aimed more at the professional mathematician than the amature.

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