Tag Archives: Applied mathematics

History of solving PDE

Posted on March 12, 2015 by Artem Novozhilov

A nice review with a lot of interesting details: Partial Differential Equations in the 20th Century by Brezis and Browder

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A review about progress in dynamical systems

Posted on January 14, 2015 by Artem Novozhilov

NINETY PLUS THIRTY YEARS OF NONLINEAR DYNAMICS: LESS IS MORE AND MORE IS DIFFERENT I review the early (1885–1975) and more recent history of dynamical systems theory, identifying key principles and themes, including those of dimension reduction, normal form transformation and unfolding of degenerate … Continue reading →

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Beyond Mendel: modeling in biology

Posted on January 14, 2015 by Artem Novozhilov

Modeling has a long and distinguished history in biology, and is becoming increasingly important as the growing availability of enormous datasets challenges the ability of biologists to extract understanding from knowledge [1]. The construction of models for biological systems is … Continue reading →

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Middle East Conflict and Applied mathematics

Posted on November 20, 2013 by Artem Novozhilov

Notices recently published several papers about applied mathematics, whose conclusions are disputable. The latest one is titled Principles for Implementing a Potential Solution to the Middle East Conflict, which was widely discussed among mathematicians. Sergey Yakovenko published a blog post Applied Mathematics:How-Not-To in which … Continue reading →

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On the biological insight

Posted on September 1, 2013 by Artem Novozhilov

I claim that I am a researcher in mathematical biology. By this I mostly understand studying biological problems by using the mathematical modeling method. Additionally, I am interested in analyzing properties of mathematical models arising in mathematical biology. I strongly … Continue reading →

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Re-discovery of the Riemann integral

Posted on August 26, 2013 by Artem Novozhilov

Here is a paper A Mathematical Model for the Determination of Total Area Under Glucose Tolerance and Other Metabolic Curves, which has around 200 citations on Google Scholar. The objective of the paper is, according to the abstract, “To develop a … Continue reading →

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What are the origins of Math?

Posted on July 17, 2013 by Artem Novozhilov

THE RECENT DISCOVERY OF THE HIGGS BOSON PARTICLE, which was predicted by mathematical formulas, shows the power of math to describe and predict the world around us–from the helical structure of DNA and the spirals of galaxies, to how rapidly epidemics spread and our universe is … Continue reading →

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Fall 2013: Mathematics of Networks

Posted on May 13, 2013 by Artem Novozhilov

In Fall 2013 I am scheduled to give a graduate course Math 767: Topics in Applied Mathematics, and the topic I chose is Mathematics of Networks. Course theme and course description: Networks are the language that is used today in … Continue reading →

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Richard Courant on Applied Mathematics

Posted on April 26, 2013 by Artem Novozhilov

In his “Acceptance speech for the association’s distinguished service award”: Since my early days in Gottingen I have been concerned with “Applied Mathematics.” Yet until today I have not been able to define what the word means or should mean. … Continue reading →

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Interview with Sergey Petrovich Novikov

Posted on March 20, 2013 by Artem Novozhilov

Sergey Novikov is 75 today. Due to this occasion here is a large interview (in Russian). Just one citation: We had a clear understanding that “pure mathematics” is a wonderful science, subject however to the following condition: To be useful for the society, its … Continue reading →

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