This lively, beginning German text is the perfect choice for those who want to move in a more communicative direction without abandoning a focus on grammar. Deutsch: Na Klar! uses a solid four-skills approach with a difference: the vocabulary, grammar, and reading sections are integrated with authentic materials, allowing students to learn language and culture simultaneously. German materials (advertisements, menus, newspaper articles, etc.) are used to present new vocabulary, introduce grammar points, and launch communicative activities. A listening-comprehension tape is tied to the text-book to help students improve listening skills.

This volume reflects the proceedings of the International Conference on Representations of Affine and Quantum Affine Algebras and Their Applications held at North Carolina State University (Raleigh). In recent years, the theory of affine and quantum affine Lie algebras has become an important area of mathematical research with numerous applications in other areas of mathematics and physics. Three areas of recent progress are the focus of this volume: affine and quantum affine algebras and their generalizations, vertex operator algebras and their representations, and applications in combinatorics and statistical mechanics. Talks given by leading international experts at the conference offered both overviews on the subjects and current research results. The book nicely presents the interplay of these topics recently occupying "centre stage" in the theory of infinite dimensional Lie theory.

Investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories, such as those of semigroups, groups, rings, and fields. The authors also investigate automata networks as products of automata, that is, as compositions of automata obtained by cascading without feedback or with feedback of various restricted types or, most generally, with the feedback dependencies controlled by an arbitrary directed graph. They survey and extend the fundamental results in regard to automata networks, including the main decomposition theorems of Letichevsky, of Krohn and Rhodes, and of others.

This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

Dieses Buch wendet sich an aIle, die durch Neigung oder Pflicht mit der Mathematik verbunden sind: Es so11 Studierende der Mathematik in Haupt-und Nebenfach, Lehrer fUr Mathematik oder Physik an weiterfUhrenden Schulen, ausgebildete Mathematiker und cum grano salis, interessierte Laien ansprechen. Aus ihm kann man als Anfiinger die Grundzuge der linearen Algebra und der analytischen Geometrie lernen. Es eignet sich dann gleichermaBen zur Weiterbildung, zur Vorbereitung auf Prufungen im Hochschulbereich und als bescheidenes Nachschlagewerk fUr grundlegende algebraische und geometrische Begriffe. Selbst manche Begriffe und Ergebnisse der Analysis findet man in die line are Algebra eingeordnet. Das Kapitel 4 (Elementar-Geometrie) und Teile der Kapitel I, 2 und 7 sind daruber hinaus fUr Aufbau- und Leistungskurse in weiterfUhrenden Schulen sowie fUr Proseminare gut geeignet. Aber auch der ausgebildete Mathematiker wird hin und wieder neue Ge sichtspunkte der linearen Algebra oder analytischen Geometrie entdecken und historische Bezuge kennenlernen. Das ausfUhrliche Inhaltsverzeichnis gibt eine gute Ubersicht uber den behandelten Stoff. Vom Inhalt her unterscheidet sich das vorliegende Buch von den meisten Buchern zur linearen Algebra: Der algebraische Teil ist nicht Selbstzweck, sondern versucht die Aspekte der linearen Algebra hervorzuheben, die auch fUr andere Teilgebiete der Mathema tik wesentlich sind. Von Anfang an wird auf wichtige Beispiele aus der Analysis besonderer Wert gelegt. Der Matrizen-und Determinantenkalkiil wird in teilweise neuer Form dar gestellt. Die analytische Geometrie in der Ebene und im Anschauungsraum hat neben den euklidischen Vektorriiumen ihren Platz. Die sphiirische Geometrie kann als Anwendung des Vektorproduktes kurz dargestellt werden.

STAIRS 2006 is the third European Starting AI Researcher Symposium, an international meeting aimed at AI researchers, from all countries, at the beginning of their career: PhD students or people holding a PhD for less than one year. This work includes topics which range from traditional AI areas to AI applications.

This book constitutes the refereed proceedings of the 9th European Conference on Logics in Artificial Intelligence, JELIA 2004, held in Lisbon, Portugal, in September 2004. The 52 revised full papers and 15 revised systems presentation papers presented together with the abstracts of 3 invited talks were carefully reviewed and selected from a total of 169 submissions. The papers are organized in topical sections on multi-agent systems; logic programming and nonmonotonic reasoning; reasoning under uncertainty; logic programming; actions and causation; complexity; description logics; belief revision; modal, spatial, and temporal logics; theorem proving; and applications.