This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and "n"-th order ordinary differential equations.
In 10 chapters and one appendix, it provides a comprehensive treatment from abstract foundations to applications in physics and engineering. The focus is on non-self-adjoint problems. Bounded operators are associated to these problems, and Chapter 1 provides an in depth investigation of eigenfunctions and associated functions for bounded Fredholm valued operators in Banach spaces. Since every "n"-th order differential equation is equivalent
to a first order system, the main techniques are developed for systems. Asymptotic fundamental
systems are derived for a large class of systems of differential equations. Together with boundary
conditions, which may depend polynomially on the eigenvalue parameter, this leads to the definition of Birkhoff and Stone regular eigenvalue problems. An effort is made to make the conditions relatively easy verifiable; this is illustrated with several applications in chapter 10.
The contour integral method and estimates of the resolvent are used to prove expansion theorems.
For Stone regular problems, not all functions are expandable, and again relatively easy verifiable
conditions are given, in terms of auxiliary boundary conditions, for functions to be expandable.
Chapter 10 deals exclusively with applications; in nine sections, various concrete problems such as
the Orr-Sommerfeld equation, control of multiple beams, and an example from meteorology are investigated.

Key features:
Expansion Theorems for Ordinary Differential Equations
Discusses Applications to Problems from Physics and Engineering
Thorough Investigation of Asymptotic Fundamental Matrices and Systems
Provides a Comprehensive Treatment
Uses the Contour Integral Method
Represents the Problems as Bounded Operators
Investigates Canonical Systems of Eigen- and Associated Vectors for Operator Functions
"

"Citizenship is highly topical and relevant to a number of disciplines including law, politics and sociology. What can a linguistic study contribute to the debate? In this impressive volume a combination of theorists -- linguists, historians and lawyers -- address the subject of citizenship testing in language proficiency and 'cultural' knowledge"--

Following the first two volumes "Dendrimers" (TCC vol. 197) and "Dendrimers II" (TCC vol. 210), the third volume dealing with this topic is now appearing in print (the "tetralogy" on dendrimers will soon be completed with the fourth volume). The present volume comprises a collection of up-to-date reviews written by renowned pioneers of research in the dendrimer field, three of whom lectured at the 1. International Dendrimer Symposium (IDS-1 1999) in Frankfurt. A focus of this volume is the variety of material properties of soft and shape-persistent dendrimers. As its predecessors did, this volume breaks through the frontiers to neighboring disciplines and, in an interdisciplinary approach, addresses topics such as polydisperse, hyperbranched macromolecules (dendritic polymers), the analysis of shape and density by small-angle scattering techniques, finely dispersed metals (dendrimers as catalysts), and nanotechnology close to potential applications.

Taking as its point of departure the fundamental observation that games are both technical and symbolic, this collection investigates the multiple intersections between the study of computer games and the discipline of technical and professional writing. Divided into five parts, Computer Games and Technical Communication engages with questions related to workplace communities and gamic simulations; industry documentation; manuals, gameplay, and ethics; training, testing, and number crunching; and the work of games and gamifying work. In that computer games rely on a complex combination of written, verbal, visual, algorithmic, audio, and kinesthetic means to convey information, technical and professional writing scholars are uniquely poised to investigate the intersection between the technical and symbolic aspects of the computer game complex. The contributors to this volume bring to bear the analytic tools of the field to interpret the roles of communication, production, and consumption in this increasingly ubiquitous technical and symbolic medium.

Taking as its point of departure the fundamental observation that games are both technical and symbolic, this collection investigates the multiple intersections between the study of computer games and the discipline of technical and professional writing. Divided into five parts, Computer Games and Technical Communication engages with questions related to workplace communities and gamic simulations; industry documentation; manuals, gameplay, and ethics; training, testing, and number crunching; and the work of games and gamifying work. In that computer games rely on a complex combination of written, verbal, visual, algorithmic, audio, and kinesthetic means to convey information, technical and professional writing scholars are uniquely poised to investigate the intersection between the technical and symbolic aspects of the computer game complex. The contributors to this volume bring to bear the analytic tools of the field to interpret the roles of communication, production, and consumption in this increasingly ubiquitous technical and symbolic medium.

Pt. A: NMR and other Spectroscopic Methods. Pt. B: Mechanical Methods

Following the first two volumes "Dendrimers" (TCC vol. 197) and "Dendrimers II" (TCC vol. 210), the third volume dealing with this topic is now appearing in print (the "tetralogy" on dendrimers will soon be completed with the fourth volume). The present volume comprises a collection of up-to-date reviews written by renowned pioneers of research in the dendrimer field, three of whom lectured at the 1. International Dendrimer Symposium (IDS-1 1999) in Frankfurt. A focus of this volume is the variety of material properties of soft and shape-persistent dendrimers. As its predecessors did, this volume breaks through the frontiers to neighboring disciplines and, in an interdisciplinary approach, addresses topics such as polydisperse, hyperbranched macromolecules (dendritic polymers), the analysis of shape and density by small-angle scattering techniques, finely dispersed metals (dendrimers as catalysts), and nanotechnology close to potential applications.

Ernst Ludwig Kirchner's move from Dresden to Berlin in 1911 marked a turning point in his art. Under the influence of the most modern metropolis in Europe, during the years between 1912 and 1915 the artist created works whose exaggerated and condensed styl e could be regarded as a true metaphor for the attitude to life during the early years of the twentieth century. During this time of rapid change the capital of the German Empire promised progress and countless opportunities, but also danger and profound e xistential fear. The city was not only the centre of industry, which continued to grow unchecked, but also of increasing motorised traffic and, with three million inhabitants, it was the biggest "city of tenement blocks" in Europe. But Berlin was also the metropolis of the arts, of hedonism, prostitution and accordingly of a sexuality that could be lived to the full as never before. Berlin vibrated with challenging energy and intellectual challenges. In this melting pot of opportunities and risks Kirchner c reated pictures of breathless, existential directness which he launched unerringly at the conventions of the Wilhelminian age. The main area of focus of the publication will lie on this dialectic and the resulting tension. It will reproduce Kirchner's grea test masterpieces, and in order to demonstrate the profound changes in his style, a representative selection of his early works from Dresden will also be shown alongside the paintings, drawing s and prints from the time in Berlin.

The collection of Rolf Horn is one of the most important private collections of German art of classical modernism. To Rolf Horn, the direct expressiveness of a piece of art was the decisive test of his purchasing decisions. Works by Emil Nolde, Christian Rohlfs and Kathe Kollwitz, as well as sculptures created by Ernst Barlach in Guestrow, Germany are part of the collection that has been housed in the Schleswig-Holstein Gottorf Castle since 1995. As beneficence to the Gottorfer Castle, a generous selection is now for the first time available for public viewing in the Berlin Bruecke Museum. This illustrious catalog is equipped with compact monographs on individual artists and creates an intensive compendium of essays on German art in the first half of the 20th Century and arouses interest in the artifacts of distant nations. German text.

Ernst Ludwig Kirchner's years in Berlin mark his ascent to being considered Germany's foremost Expressionist artist. His works from this period abound with a new dynamism that mirrors the turbulent life and lifestyles of the capital. Dance, cabaret, circus, prostitutes and grandiose cityscapes are the dominating topics and belong to the key works of German 20th-century art. German text.

Unmittelbar und unverfalscht... prasentiert einen Querschnitt aus der Graphischen Sammlung des Berliner Brucke-Museums.

This volume is centered around the pastel drawings of Karl Schmitt-Rottluff that he executed during the early 1940s, when he was banned from painting by the regime of the Third Reich. German text.