Polyvinylpyrrolidone is widely used in medicine, pharmaceuticals, cosmetics, foods, printing inks, textiles, and many more diverse applications. This book describes the 50 years of research, published and unpublished, on the absorption, distribution, storage, and excretion of PVP. The toxicology of PVP is critically evaluated. The author's involvement in the recent reevaluation of PVP by the Joint Expert Committee on Food Additives of the World Health Organization (WHO) and the Food and Agriculture Organization (FOA) led them to undertake this comprehensive review of all the information on the subject. This book will be invaluable for anyone who is involved with polyvinylpyrrolidone. Included is a broad review of the toxicological studies performed on PVP, including acute, subchronic, chronic, reproductive, mutagenicity, and carcinogenicity studies. There is also an appendix listing the key studies, with references, on the absorption, renal elimination, distribution, acute toxicity, subchronic toxicity, chronic toxicity, teratogenicity, mutagenicity, and carcinogenicity of PVP.

Polyvinylpyrrolidone is widely used in medicine, pharmaceuticals, cosmetics, foods, printing inks, textiles, and many more diverse applications. This book describes the 50 years of research, published and unpublished, on the absorption, distribution, storage, and excretion of PVP. The toxicology of PVP is critically evaluated. The author's involvement in the recent reevaluation of PVP by the Joint Expert Committee on Food Additives of the World Health Organization (WHO) and the Food and Agriculture Organization (FOA) led them to undertake this comprehensive review of all the information on the subject. This book will be invaluable for anyone who is involved with polyvinylpyrrolidone. Included is a broad review of the toxicological studies performed on PVP, including acute, subchronic, chronic, reproductive, mutagenicity, and carcinogenicity studies. There is also an appendix listing the key studies, with references, on the absorption, renal elimination, distribution, acute toxicity, subchronic toxicity, chronic toxicity, teratogenicity, mutagenicity, and carcinogenicity of PVP.

Design automation of electronic and hybrid systems is a steadily growing field of interest and a permanent challenge for researchers in Electronics, Computer Engineering and Computer Science. System Design Automation presents some recent results in design automation of different types of electronic and mechatronic systems. It deals with various topics of design automation, ranging from high level digital system synthesis, through analogue and heterogeneous system analysis and design, up to system modeling and simulation. Design automation is treated from the aspects of its theoretical fundamentals, its basic approach and its methods and tools. Several application cases are presented in detail. The book consists of three chapters: High-Level System Synthesis (Digital Hardware/Software Systems). Here embedded systems, distributed systems and processor arrays as well as hardware-software codesign are treated. Also three special application cases are discussed in detail; Analog and Heterogeneous System Design (System Approach and Methodology). This chapter copes with the analysis and design of hybrid systems comprised of analog and digital, electronic and mechanical components; System Simulation and Evaluation (Methods and Tools). In this chapter object-oriented Modelling, analog system simulation including fault-simulation, parameter optimization and system validation are regarded. The contents of the book are based on material presented at the Workshop System Design Automation (SDA 2000) organised by the Sonderforschungsbereich 358 of the Deutsche Forschungsgemeinschaft at TU Dresden.

Design automation of electronic and hybrid systems is a steadily growing field of interest and a permanent challenge for researchers in Electronics, Computer Engineering and Computer Science. System Design Automation presents some recent results in design automation of different types of electronic and mechatronic systems. It deals with various topics of design automation, ranging from high level digital system synthesis, through analogue and heterogeneous system analysis and design, up to system modeling and simulation. Design automation is treated from the aspects of its theoretical fundamentals, its basic approach and its methods and tools. Several application cases are presented in detail. The book consists of three chapters: High-Level System Synthesis (Digital Hardware/Software Systems). Here embedded systems, distributed systems and processor arrays as well as hardware-software codesign are treated. Also three special application cases are discussed in detail; Analog and Heterogeneous System Design (System Approach and Methodology). This chapter copes with the analysis and design of hybrid systems comprised of analog and digital, electronic and mechanical components; System Simulation and Evaluation (Methods and Tools). In this chapter object-oriented Modelling, analog system simulation including fault-simulation, parameter optimization and system validation are regarded. The contents of the book are based on material presented at the Workshop System Design Automation (SDA 2000) organised by the Sonderforschungsbereich 358 of the Deutsche Forschungsgemeinschaft at TU Dresden.

Erinnern Sie sich an eine Alltagssituation, in der es Ihnen gelungen ist, aus einem Problem eine Aufgabe zu machen, die Sie erfolgreich bewaltigen konnten? Und haben Sie dabei vom Einsatz geeigneter Werkzeuge profitiert? Solche Szenarien pragen den beruflichen Alltag aller Studierenden mathematischer Fachrichtungen. Man sieht sich permanent mit mathematischen Problemen konfrontiert, zu deren Loesung es einer guten Idee bedarf; oft findet man diese aber nicht, weil man sich der Werkzeuge nicht bewusst ist, mit denen man die Loesungsidee freilegen kann. Dieses Buch soll hier Abhilfe schaffen. Anhand von ca. 70 Beispielen aus der Diskreten Mathematik, der Arithmetik, der Zahlentheorie, der Stochastik, der Geometrie, der Linearen Algebra, der reellen Analysis, der Funktionentheorie, der Kombinatorik und der Mathematikgeschichte wird eine umfangreiche Auswahl heuristischer Vorgehensweisen erlautert, denen die Rolle des Werkzeugs in Problemloeseprozessen zufallt. Die heuristischen Strategien des Problemloesens werden strukturell systematisiert und nach Moeglichkeit prozessual den verschiedenen Phasen des Problemloeseprozesses nach Polya zugeordnet; dadurch entsteht nicht nur Ordnung im heuristischen Werkzeugkasten, sondern auch eine Verfeinerung des Polya'schen Phasenmodells des Problemloesens.

Das Buch richtet sich an Studierende in Lehramtsstudiengangen aller Schulstufen sowie an Lehrende des Faches Mathematik. Es enthalt den fachwissenschaftlichen Hintergrund der Geometrie des aktuellen Mathematikunterrichts einschliesslich rechnerischer Methoden, streift aber auch zahlreiche daruber hinausfuhrende Themen wie die Geometrie der komplexen Zahlen, die spharische Trigonometrie, die Graphentheorie, endliche Geometrien und Modelle nichteuklidischer Geometrien. Zahlreiche Anwendungsbeispiele und ca. 300 Aufgaben mit Loesungen machen das Buch zu einer effektiven Arbeitsgrundlage. Die vorliegende 5. Auflage ist vollstandig uberarbeitet. Inhaltlich wurde der Themenkreis Bandornamente ausgebaut, und das Thema projektive Geometrie wurde neu aufgenommen. Stimme zum Buch: "Ein vielseitiges Buch, das alle Facetten der Elementargeometrie aufgreift und Bezuge aufzeigt. Geeignet, den Horizont zu erweitern und zum Studieren und Entdecken anzuregen." Prof. Dr. Andreas Filler, Humboldt-Universitat Berlin

Das Buch richtet sich an Studierende der Mathematik in LehramtsstudiengAngen aller Schulstufen und in polyvalent angelegten Bachelor-StudiengAngen. Es vermittelt die Grundlagen der Linearen Algebra und der Analysis, also derjenigen mathematischen Gebiete, welche einerseits fA1/4r die Anwendungen und andererseits fA1/4r den weiteren Aufbau der Mathematik von zentraler Bedeutung sind.

Die Relevanz der behandelten Themen wird an zahlreichen Beispielen demonstriert.

Die Lineare Algebra und die Analysis sind in zwei unabhAngigen Teilen dargestellt. Allerdings werden in der Linearen Algebra einfache Beispiele aus der Analysis zur Motivation der Begriffsbildungen herangezogen und umgekehrt werden einige Begriffe aus der Linearen Algebra in der Analysis eingesetzt.

In etwa 320 Aufgaben kann der dargestellte Stoff eingeA1/4bt, vertieft und auch weitergefA1/4hrt werden. Zu allen Aufgaben sind knappe LAsungen oder LAsungshinweise angegeben.

The theme of this book is the characterization of certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related multiplicative functions. They also prove the mean-value theorems of Wirsing and Halasz and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative coefficients are included, along with exercises and an extensive bibliography.