Hints for reading Euler's "Konigsberg" article
Euler's article is short and is mostly text, but it is nevertheless trying
to construct a precise mathematical argument. As you read it, keep the
following questions in mind.
- What is the question Euler is trying to answer? Is it the same
question throughout, or does he address more than one issue?
- How does Euler represent a path through the sequence of bridges? Is
this representation clear? Is it unambiguous?
- Read paragraph 8 carefully--it is a crucial one. Do you understand
it? Has Euler convinced you that his rule is correct?
- In paragraphs 8-14, Euler makes an argument that leads to a specific
method to determine whether the desired path exists. The goal, then, is
to prove that the method which appears in paragraph 14 does answer the
- What happens after paragraph 14. Hasn't he already answered the
question? What is he up to now?
- What do you make of paragraph 21?
Fernando Q. Gouvêa ---- email@example.com
Last modified: Tue Sep 16 09:21:15 1997