Theory of Sets by E. Kamke | Amazon

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SUMMARY

The discussion centers on E. Kamke's book "Theory of Sets," which is noted for its accessibility to beginners in set theory. The author reflects on their positive experience with the book during high school, suggesting it serves as a solid introduction before advancing to calculus. Comparisons are drawn between Kamke's work and that of Felix Hausdorff, indicating potential influences in content and structure. The Amazon link provided confirms the similarity in topic headings between the two texts.

PREREQUISITES
  • Basic understanding of set theory concepts
  • Familiarity with calculus fundamentals
  • Knowledge of mathematical notation
  • Interest in mathematical literature and historical context
NEXT STEPS
  • Explore Felix Hausdorff's "Set Theory" for advanced insights
  • Study introductory materials on set theory to reinforce foundational knowledge
  • Research the historical development of set theory and its key contributors
  • Examine calculus textbooks that reference set theory applications
USEFUL FOR

This discussion is beneficial for students of mathematics, educators seeking teaching resources, and anyone interested in foundational texts in set theory.

For those who have used this book

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I read this book in high school and enjoyed and benefited from it, before taking calculus. I am not sure now after over 50 years, but I seem to recall thinking this may have been influenced by (i.e. largely cribbed from) one of the great books on set theory, maybe the one by Hausdorff. (Indeed the amazon link confirms the two books have highly similar topics headings.) I do recall thinking it was a good source for beginners.
 
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