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Diophantine analysis : course notes from a summer school
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…
- Edition
- -
- ISBN/ISSN
- 9783319488172
- Collation
- xi, 232 pages
- Series Title
- -
- Call Number
- 515
Alternative Theoretical Frameworks for Mathematics Education Research: Theory…
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…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-33961-0
- Collation
- IX, 193
- Series Title
- -
- Call Number
- 510.07 FRE a
Dirichlet forms methods for Poisson point measures and Lévy processes : wit…
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…
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- ISBN/ISSN
- 9783319258201
- Collation
- xviii, 323 pages
- Series Title
- -
- Call Number
- 510
Disaffection with school mathematics
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.…
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- ISBN/ISSN
- 9789463003315
- Collation
- ix, 177 pages
- Series Title
- -
- Call Number
- 510
Recollections of a Jewish Mathematician in Germany
Abraham A. Fraenkel was a world-renowned mathematician in pre–Second World War Germany, whose work on set theory was fundamental to the development of modern mathematics. A friend of Albert Einstein, he knew many of the era’s acclaimed mathematicians personally. He moved to Israel (then Palestine under the British Mandate) in the early 1930s. In his autobiography Fraenkel describes his earl…
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- ISBN/ISSN
- 978-3-319-30847-0
- Collation
- -
- Series Title
- -
- Call Number
- 510.9
The Mathematics in Our Hands
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…
- Edition
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- ISBN/ISSN
- 978-3-658-11948-5
- Collation
- XIX, 350
- Series Title
- -
- Call Number
- -
All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics…
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…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-94-017-9334-6
- Collation
- XV, 386
- Series Title
- -
- Call Number
- 510.07 GEM a
The Mathematics Behind Biological Invasions
This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to in…
- Edition
- -
- ISBN/ISSN
- 978-3-319-32043-4
- Collation
- XVI, 362
- Series Title
- Interdisciplinary Applied Mathematics
- Call Number
- 510
The Mathematical Theory of Time-Harmonic Maxwell's Equations
This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpf…
- Edition
- -
- ISBN/ISSN
- 978-3-319-11086-8
- Collation
- XIII, 337
- Series Title
- -
- Call Number
- 510
Discontinuous Galerkin method : analysis and applications to compressible flow
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 …
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- -
- ISBN/ISSN
- 9783319192673
- Collation
- -
- Series Title
- -
- Call Number
- 519
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