numerical methods for mathematics john h mathews pdf merge

This course provides an introduction to systems of differential equations and dynamical systems, as well as chaotic dynamics, while providing a significant set of connections with phenomena modeled through these approaches in engineering, chemistry, biology, and social sciences. We will not spend time on resume and job application writing, since there is ample opportunity to receive expert help from the career center. At the beginning of the semester there will be a presentation by the UMass career center director. During the last third of the semester there will be group project presentations.Īll writing has to be done in the word processing system LaTex, which is the only word processing system capable of producing a professional layout. The course is structured around writing assignments which will be peer reviewed and/or graded by the instructor and the course TA. We will also explore (in the above context) how mathematics and physics interact, why (whether) mathematics describes the 'physical' universe so accurately, how (whether) aesthetics, art, philosophy has an impact on mathematics, and how mathematical ideas could be conveyed to a non-expert audience. The various ideas and view points humanity had over the past 2000 or so years about those topics will be part of our exploration.There will be lectures on this topic by the instructor and video taped lectures/demonstrations by eminent mathematicians who worked on these problems.

We will study the concept of dimension in geometry and physics beginning from dimension 0 to dimension 3 (and perhaps 4) leading to the Poincare Conjecture, which provides the possible shapes of the spacial 3-dimensional universe.

Numerical methods for mathematics john h mathews pdf merge