{"id":204,"date":"2015-05-30T10:39:23","date_gmt":"2015-05-30T15:39:23","guid":{"rendered":"http:\/\/blogs.ams.org\/beyondreviews\/?p=204"},"modified":"2015-07-20T16:52:10","modified_gmt":"2015-07-20T21:52:10","slug":"top-ten-lists","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/beyondreviews\/2015\/05\/30\/top-ten-lists\/","title":{"rendered":"Top Ten Lists"},"content":{"rendered":"

As many in the United States know, David Letterman retired<\/a> from his late-night television show recently. \u00a0Among other things, he was known for his Top Ten Lists. \u00a0 Well, the mathematically inclined do not have to go without, as MathSciNet has Top Ten Lists! \u00a0From the main MathSciNet<\/strong>\u00a0page\u00a0http:\/\/www.ams.org\/mathscinet<\/a>, click on the Citations<\/strong> tab. \u00a0You now have five choices of types of searches ordered by citation, using the citation database built from our Reference List Journals<\/a>. \u00a0<\/p>\n

Pre-packaged Top 10 Lists<\/h3>\n

The tab labelled “Top 10 Lists<\/strong>” will guide you through lists of the most highly cited books or journals\u00a0by citation year<\/em>. \u00a0<\/em>You can also see the journals with the highest “MCQ” by year. \u00a0I will say more about the MCQ, or “Mathematical Citation Quotient”,\u00a0in a future post. \u00a0Note that the lists for Books and Journal Articles are just for citations from a single year. \u00a0If you go to the MathSciNet listing for an item on a Top 10 List, you can see the total citations to that item in the box in the upper right-hand corner. \u00a0For instance, if we look for the ten most highly cited books using 2013 as the citation year, we see the following (only the first six display on my screen):<\/p>\n

\"Screen<\/a><\/p>\n

If you think about it, there is no surprise that none of them is recent. \u00a0Rather, they tend to be standard references in their fields. \u00a0Remember that this list is just the number of citations to these books from articles published in 2013. \u00a0If you want the total number, you should click through to the MathSciNet entry for any of the items. \u00a0For instance, the\u00a0second edition of Gilbarg and Trudinger’s book has a total of 4222 citations (as of May 30, 2015). \u00a0There are another\u00a01235 citations to the first edition.<\/p>\n

\"Screen<\/a><\/p>\n

Search by Subject<\/h3>\n

Now let’s use another tab to make our own Top 10 List. Clicking\u00a0Search by Subject<\/strong>, brings you to:<\/p>\n

 <\/p>\n

\"Screen<\/a><\/p>\n

 <\/p>\n

The subject should be a two-digit MSC (Mathematics Subject Classification). \u00a0Many people know the class for the areas in which they work. \u00a0To find MSCs, you can either go to the MSC page available from the Free Tools for\u00a0MathSciNet page<\/a> or the AMS’s MSC page<\/a>. \u00a0Let’s try the Subject Classification “42 = Fourier Analysis”:<\/p>\n

\"Screen<\/a><\/p>\n

 <\/p>\n

I’m not a specialist in this field, but I certainly recognize most of the authors here. \u00a0 Note that this list is ordered by\u00a0total number of citations<\/em>. \u00a0By changing the number of citations to display, you can also make a top 20, top 50, or top 100 list.<\/p>\n

Search by Year<\/h3>\n

Finally, let’s use the\u00a0Search by Year<\/strong> tab. \u00a0For a given year, this list should say something about important or influential results from that year. \u00a0 Picking the publication year to be 2010 and the type of publication to be a journal article, we obtain<\/p>\n

\"Screen<\/a><\/p>\n

The first article is the Part I of the paper that established a major part of Mori’s<\/a> Minimal Model Program<\/a>. \u00a0Along the way, the authors also prove that\u00a0the canonical ring is finitely generated, another major result.<\/p>\n

Acknowledgment<\/h3>\n

I am happy to thank Steve Miller<\/a> for making the connection from MathSciNet to David Letterman.<\/p>\n

<\/div>","protected":false},"excerpt":{"rendered":"

As many in the United States know, David Letterman retired from his late-night television show recently. \u00a0Among other things, he was known for his Top Ten Lists. \u00a0 Well, the mathematically inclined do not have to go without, as MathSciNet … Continue reading →<\/span><\/a><\/p>\n

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