SIAM Review

In the pre-Google era, tools for searching the web, such as those provided by AltaVista and Yahoo, placed great emphasis on content. This played into the hands of unscrupulous individuals and companies, who could insert spurious but popular text into their ...

Google's PageRank method was developed to evaluate the importance of web-pages via their link structure. The mathematics of PageRank, however, are entirely general and apply to any graph or network in any domain. Thus, PageRank is now regularly used in ...

This issue contains two Research Spotlights articles, the first of which applies mathematical modeling and analysis to a topic in the social sciences. “Opinion Dynamics and the Evolution of Social Power in Influence Networks," by Peng Jia, Anahita ...

This paper studies the evolution of self-appraisal, social power, and interpersonal influences for a group of individuals who discuss and form opinions about a sequence of issues. Our empirical model combines the averaging rule of DeGroot to describe ...

The amplitude of the gradient of a potential inside a wire cage is investigated, with particular attention to the 2D configuration of a ring of $n$ disks of radius $r$ held at equal potential. The Faraday shielding effect depends upon the wires having finite ...

The SIGEST paper in this issue, “Problems of Minimal Resistance and the Kakeya Problem,” by Alexander Plakhov, is from the SIAM Journal on Mathematical Analysis.

The paper considers the problem of least resistance. This problem was posed by Newton (whom the ...

Here we solve the problem posed by Comte and Lachand-Robert in [SIAM J. Math. Anal., 34 (2002), pp. 101--120]. Take a bounded domain $\Omega \subset \mathbb{R}^2$ and a piecewise smooth nonpositive function $u : \bar\Omega \to \mathbb{R}$ vanishing on $\...

The SIAM Review Education section has many objectives. One of them is to bring contemporary applications to mathematics courses that would otherwise be outside of the mainstream curriculum. Another is to present topics in applied mathematics in new ways ...

Mathematical biology/ecology teaching for undergraduates has generally relied on the Lotka--Volterra competition and predator-prey models to introduce students to population dynamics. Students are provided with an understanding of the application of ...

The greatest challenge of this job is to find just the right reviewer for each book. Personal contacts get one only so far; I know lots of people in or near my own research area, but not so many in the larger applied mathematics community. So where do I ...