https://www.youtube.com/channel/UCSoVyBb75Mf9o_eZGuKa2HQ

]]>For your divisibility problem, I would naturally reduce all of the coefficients modulo 7 (choosing equivalent coefficients between 0 and +6), which immediately gives me the answer. While, for me, finding non-trivial values for x and y so that the given expression is divisible by 7 and then substituting those numbers into each expression takes a lot more time.

But the fact that different methods will work is one of the beauties of mathematics!

Thank you for the post!

]]>Gre Preparation In Lahore ]]>

Stay positive and follow your heart. ]]>

MathSciNet has good coverage of applied mathematics. Looking at the data on what we added to the database in 2016, and separating by primary MSCs, more than half the items were in applied mathematics or applications: 42% of the items were in pure math, 19% in physical sciences and engineering, 18% were in computer science, numerical analysis, and information science, 10% were in social sciences, biology, and economics, 9% were in statistics and probability, and 2% were in other areas.

Phys. Rev. A, B, C, D, E, and Phys. Rev. Lett. are all covered in MathSciNet. PLoS Computational Bio is covered, but not PLoS One.

]]>Chad and May mention Google Scholar. I would recommend using the AMS’s powerful research tool, MathSciNet, which has the advantage of being specialized for the research literature in mathematics and the mathematical sciences. BibDesk has the ability to use MathSciNet built right into it, or you can use it directly. MathSciNet has the benefit of being curated by the expert editors at Mathematical Reviews. (I’m the Executive Editor, so I might be biased.) Moreover, MathSciNet includes reviews of many of the papers, which can help you decide the relevance to your own work. It has two types of citations, which help you with Step 5 above. The first type is citations from reference lists, which are the sort discussed in the blog post. The second type is citations from reviews, where a third party – the reviewer – points out a link between this paper and another. With the size of the literature growing exponentially (measured by number of articles published per year), you need all the help you can get when trying to navigate it.

MathSciNet is a subscription service, so your college or university has to subscribe. Most libraries subscribe through consortia, which can bring the cost down dramatically, particularly for four-year colleges.

I have an AMS blog about MathSciNet called “Beyond Reviews”, where you can find out more about the tool. Somewhere on the right-hand side of the page you are reading, there is a link to it.

PS: For an old-school take on literature searches, I recommend Umberto Eco’s “How to Write a Thesis”. Most of the specifics are woefully out of date, but the basis process is the same and the philosophy of why you do it remains absolutely true today. Finally, Eco was a brilliant writer – it is enjoyable to read just about anything he writes.

]]>