It takes the average reader 1 hour and 54 minutes to read Infinite Abelian Groups by Irving Kaplansky
Assuming a reading speed of 250 words per minute. Learn more
In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory. Starting with examples of abelian groups, the treatment explores torsion groups, Zorn's lemma, divisible groups, pure subgroups, groups of bounded order, and direct sums of cyclic groups. Subsequent chapters examine Ulm's theorem, modules and linear transformations, Banach spaces, valuation rings, torsion-free and complete modules, algebraic compactness, characteristic submodules, and the ring of endomorphisms. Many exercises appear throughout the book, along with a guide to the literature and a detailed bibliography.
Infinite Abelian Groups by Irving Kaplansky is 113 pages long, and a total of 28,589 words.
This makes it 38% the length of the average book. It also has 35% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 36 minutes to read Infinite Abelian Groups aloud.
Infinite Abelian Groups is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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