Definition talk:Piecewise Continuous Function

The link to the work cited is to the 4th edition. Can someone do some research to establish the chronology of the actual publication dates, in particular the date of its its original publication? --prime mover (talk) 15:42, 18 July 2013 (UTC)

I have done some google searching but have been able to find only the third edition: Tyn Myint-U and Lokenath Debnath: Linear Partial Differential Equations for Scientists and Engineers; (3rd ed.) Springer, New York, NY (2006) Ivar Sand (talk) 08:36, 22 July 2013 (UTC)

Explanation for using "partition":
 * I have checked the references below and found that 2 of 4 use "partition" and the others just use "points".
 * I have also checked the references in the talk page of Piecewise Continuously Differentiable Function and found that 3 of 10 use "partition". Ivar Sand (talk) 07:48, 22 August 2013 (UTC)

Is it an idea to move the subsection "Possible properties of piecewise continuous functions" to here (the talk page)? It just contains a list of possible things to do. I do not know whether the work in that subsection will be done or how long it will take; personally, I would like to do only a fraction of it. Ivar Sand (talk) 09:09, 22 August 2013 (UTC)

Other definitions of piecewise continuous
1. I have searched the list at http://www.proofwiki.org/wiki/ProofWiki:Community_Portal#Magazines for other definitions of "piecewise continuous" and found:

Agarwal and O’Regan: $f$ needs not be defined at $x_i, i$∈{0,…,n}. (The search function of maa.org was used.)

2. I have searched the list at http://www.proofwiki.org/wiki/ProofWiki:Community_Portal#Wikis_and_Encyclopedias for other definitions of "piecewise continuous" and found:

- mathworld.wolfram.com: resorts from being as specific as in (2) and says instead "certain matching conditions are sometimes required".

- planetmath.org: lacks (2).

3. I have found these on the Internet (I have done only a limited search): - Advanced Calculus: MATH 410 Notes on Integrals and Integrability, Professor David Levermore: (2) is replaced by the requirement that $f$ be bounded. Ivar Sand (talk) 10:05, 24 July 2013 (UTC) and 9 August 2013 (UTC)