Geometry and Billiards (Student Mathematical Library)Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary.
A Concise Introduction to Mathematical Logic, Third edition (Universitext)
Traditional logic as a part of philosophy is one of the oldest scientific disciplines and can be traced back to the Stoics and to Aristotle. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, and others to create a logistic foundation for mathematics. It steadily developed during the twentieth century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguistics and philosophy.
Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms (Mathematics Education Library)
Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.
“Differential Equations with MATLAB” (2nd ed.) is a supplemental text that can enrich and enhance any first course in ordinary differential equations. Designed to accompany Wiley’s ODE texts written by Boyce/DiPrima, Borrelli/Coleman and Lomen/Lovelock, this supplement helps instructors move towards an earlier use of numerical and geometric methods, place a greater emphasis on systems (including nonlinear ones), and increase discussions of both the benefits and possible pitfalls in numerical solution of ODEs.
This is the proceedings of an international workshop on knot theory held in July 1996 at Waseda University Conference Centre. It was organized by the International Research Institute of Mathematical Society of Japan. The workshop was attended by nearly 180 mathematicians from Japan and 14 other countries. Most of them were specialists in knot theory.
