This textbook presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a...

This textbook provides a broad and solid introduction to mathematical statistics, including the classical subjects hypothesis testing, normal regression analysis, and normal analysis of variance. In addition, non-parametric statistics and vectorial statistics are considered, as well as applications of stochastic analysis in modern statistics, e.g., Kolmogorov-Smirnov testing, smoothing techniques, robustness and density estimation.

• For students with some elementary mathematical background.
• With many exercises.
• Updated, completeSolutions Manual available on request...

The reader is introduced to higher mathematics in an experimental way. He works with numerous interactive Java- simulations treating mathematical topics from number theory to infinitesimal calculus and partial differential equations. On the way he playfully learns the EJS simulation technique. Beyond the mathematics simulations the data pool contains a structured collection of over 2,000 physics simulations.

The unique, extensive and well documented data pool can be operated comfortably online or with files stored at the hard disk. (For download of the digital package or questions...

This book now in its second revised and extended edition is a self-contained exposition of the theory of compact right semigroupsfor discrete semigroups and the algebraic properties of these objects. The methods applied in the book constitute a mosaic of infinite combinatorics, algebra, and topology. The reader will find numerous combinatorial applications of the theory, including the central sets theorem, partition regularity of matrices, multidimensional Ramsey theory, and many more.

This textbook now in its second revised and extended edition introduces the topology of 3- and 4-dimensional manifolds. It also considers new developments especially related to the Heegaard Floer and contact homology. The book is accessible to graduate students in mathematics and theoretical physics familiar with some elementary algebraic topology, including the fundamental group, basic homology theory, and Poincare duality on manifolds.

This graduate-level textbook in a new revised edition treats the basic chemistry of high energy materials - primary and secondary explosives, propellants, rocket fuel and pyrotechnics - andprovides a review of new research developments. Applications in both military and civil fields are discussed. The book also offers new insights into "green" chemistry requirements and strategies for military applications. This work should be of interest to advanced students in chemistry, materials science and engineering, as well as all those working indefense technology.

This collection links the use of media to the larger socio-cultural processes involved in collective memory-making. The focus in particular is on 'mediation' and 'remediation' as two fundamental aspects of media use, and on the dynamics between them. Key questions are:
What role do media play in the production and circulation of cultural memories? How do mediation, remediation and intermediality shape objects and acts of cultural remembrance? How can new, emergent media redefine or transform what is collectively remembered?

This book first appeared as a hardback volume in the...

This book deals with the general topic "Numerical solution of partial differential equations (PDEs)" with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like "Numerical Analysis in Modern Scientific Computing" by Deuflhard and Hohmann should suffice as a prerequisite. The emphasis lies on elliptic and parabolic systems. Hyperbolic conservation laws are treated only on an elementary level excluding turbulence.

Numerical Analysis is clearly understood as part of Scientific Computing. The focus is on the efficiency of algorithms, i.e....