In July 2014, the number theory group of the Department of Mathematics at Wurzburg University organized an international summer school on Diophantine analysis. About fifty participants learned in three courses about different topics from Diophantine analysis; a fourth course gave in addition some historical background of some aspects of the early research in this direction. This volume presents…
This book explicates some of the fundamental philosophical tenets underpinning key theoretical frameworks, and demonstrates how these tenets inform particular kinds of research practice in mathematics education research. We believe that a deep understanding of significant theories from the humanities and social sciences is crucial for doing high-quality research in education. For that reason, t…
A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the "lent particle method" it is based on perturbation of the position of particles. Poisson random measures describe phenomena involving random jumps (for instance in mathematical finance) or the random distribution of particles (as in statistical physics). Thanks to the…
This account of my research will begin with an examination of my understandings of the importance of affect (and therefore disaffection) in learning or not learning mathematics. From here, I will review literature and schools of thought on affect in mathematics education, and develop my argument and position that motivation and emotion can be seen as the central foundations of the affect space.…
In her empirical study, Christina Krause investigates how gestures can contribute to epistemic processes in social interactions. She expands the traditional speech-based approach to analyzing social processes of constructing mathematical knowledge by employing a multimodal perspective. Adopting a semiotic approach, she takes into account two functions of gestures as signs used by the participan…
This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concern…
The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. It deals with the theoretical as well as practical …
This book constitutes the proceedings of the 12th International Workshop on Algorithms and Models for the Web Graph, WAW 2015, held in Eindhoven, The Netherlands, in December 2015. The 15 full papers presented in this volume were carefully reviewed and selected from 24 submissions. They are organized in topical sections named: properties of large graph models, dynamic processes on large grap…
This book constitutes the refereed proceedings of the 26th International Symposium on Algorithms and Computation, ISAAC 2015, held in Nagoya, Japan, in December 2015. The 65 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 180 submissions for inclusion in the book. The focus of the volume is on the following topics: computational geometry;…
This book constitutes the refereed conference proceedings of the 9th International Conference on Algorithms and Complexity, CIAC 2015, held in Paris, France, in May 2015. The 30 revised full papers presented were carefully reviewed and selected from 93 submissions and are presented together with 2 invited papers. The papers present original research in the theory and applications of algorith…