A large number of physical phenomena are modeled by nonlinear partial differential equations, subject to appropriate initial/ boundary conditions; these equations, in general, do not admit exact solution. The present monograph gives constructive mathematical techniques which bring out large time behavior of solutions of these model equations. These approaches, in conjunction with modern computational methods, help solve physical problems in a satisfactory manner. The asymptotic methods dealt with here include self-similarity, balancing argument, and matched asymptotic expansions.
Well written and accessible to undergraduates or anybody who would like to obtain a quick but well-rounded introduction to fractal analysis. It is highly recommended and will certainly find a well-deserving place on many bookshelves. -- Peter R. Massopust Mathematical Reviews The subject matter of this book is important to all mathematical scientists... Is this a good book for your library? It's better than that. Put this slim volume in your backpack next time you hiking by the sea. -- Michael F. Barnsley SIAM Review
Mathematics and Beauty: Aesthetic Approaches to Teaching Children
Nathalie Sinclair makes a compelling case for the inclusion of the aesthetic in the teaching and learning of mathematics, and illuminates how the materials and approaches we use in the mathematics classroom can be enriched for the benefit of all learners.
Paper folding not only simplifies the learning of mathematics it also builds an experiential base necessary for further learning. The exercises in this publication, appropriate at various grade levels, lead students to discover and demonstrate such mathematical relationships as reflections, transformations, and symmetry.
Noted expert’s clearly written discussions of essential ideas of highly useful mathematical approach to human behavior and decision-making. Lucid, accessible treatment of such concepts as "utility," "strategy," and the difference between "non-zero" and "zero-sum" games. Minimum of mathematical prerequisites makes it accessible to non-mathematicians.
