Mathematics : Calculus

Graph Directed Markov Systems are a powerful tool with many application areas, including dynamical systems. This text, by acknowledged experts in the field, includes the necessary background material as well as an extensive list of references suggesting further reading. more...

Price: $64.00

Devoted to stationary partial differential equations, this work covers topics that include singular and higher order equations, problems near critically, problems with anisotropic nonlinearities, dam problem, T-convergence and Schauder-type estimates. more...

Price: $200.00

This first comprehensive account of the theory of planar harmonic mappings, meant for non-specialists, treats both the generalizations of univalent analytic functions and the connections with minimal surfaces. Included are background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation. more...

Price: $56.00

The mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered. In particular, important connections between harmonic analysis, wavelet analysis and p-adic analysis have been found recently. This volume reports these findings and guides the reader towards the latest areas for further research. It is divided into two parts: harmonic, wavelet and p-adic analysis and p-adic and stochastic analysis. more...

Price: $140.00

Linear or proportional relationships are a major topic in mathematics education. However, recent research has shown that secondary school students strongly tend to apply the linear model also in situations wherein it is not applicable. This overgeneralization of linearity is sometimes referred to as the "illusion of linearity" and has a strong negative impact on students??? reasoning and problem solving skills. "The Illusion of Linearity: From Analysis to Improvement" presents the reader with a comprehensive overview of the major findings of the recent research on the illusion of linearity. Although the empirical study of students??? improper linear reasoning clearly constitutes a new line of research, it owes a great deal to prior work in mathematics education research community (such as the work of the scholars of the Freudenthal Institute on realistic mathematics education). Based on both quantitative and qualitative research, "The Illusion of Linearity: From Analysis to Improvement" discusses the following issues: (1) how the illusion of linearity appears in diverse domains of mathematics and science and how it is conceptually related to other more general misconceptions identified in the research literature, (2) what are the crucial psychological, mathematical, and educational factors being responsible for the occurrence and persistence of the phenomenon, and (3) how the illusion of linearity can be remedied by appropriate instruction. "The Illusion of Linearity: From Analysis to Improvement" is essential to those working in mathematics education, particularly teacher educators and curriculum research and development. more...

Price: $99.00