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The subject of this book is the ordinal and symbolic approach to data analysis that has particularly emphasized the intentional background of data which is necessary for validation, interpretation and communication. Since many observed or experimental data sets (including sequential, textual, spatial, relational) are of symbolic or ordinal nature, it has become increasingly clear that ordinal and symbolic data analysis has applications in a large number of areas including information technologies, data retrieval, social sciences, economics, medicine, biology, agronomy etc

"Data Analysis" in the broadest sense is the general term for a field of activities of ever-increasing importance in a time called the information age. It covers new areas with such trendy labels as, e.g., data mining or web mining as well as traditional directions emphazising, e.g., classification or knowledge organization. Leading researchers in data analysis have contributed to this volume and delivered papers on aspects ranging from scientific modeling to practical application. They have devoted their latest contributions to a book edited to honor a colleague and friend, Hans-Hermann Bock, who has been active in this field for nearly thirty years

Das Buch beinhaltet die wichtigsten mathematischen Konzepte und Methoden für ein erfolgreiches Studium der Betriebs- oder Volkswirtschaftslehre. Dabei ist es umfassender als aktuell erscheinende, rein auf Bachelorstudiengänge ausgerichtete Werke und stellt daher einen zuverlässigen Begleiter vom Bachelor bis zum Master dar. Bewusst werden die Inhalte nicht nur anhand zahlreicher Beispiele erläutert, sondern mathematische Sachverhalte auch formal dargestellt und bewiesen. Behandelt werden elementare und formale Grundlagen der Mathematik, Methoden der linearen Algebra, der Analysis von Funktionen einer und mehrerer Variablen sowie einfache Differenzen- und Differentialgleichungen. Darüber hinaus enthält die vorliegende 12. Auflage des Buches eine erweiterte Darstellung der Finanzmathematik sowie einen Überblick über Modelle und Methoden der linearen, nichtlinearen und ganzzahligen Optimierung.

1 Scalar-Valued Production Functions: Homotheticity, Quasilinearity, and Technical Progress -- Invariant Relationships for Homothetic Production Functions -- Characterization of the CES Production Functions by Quasilinearity -- Technical Progress, Neutral Inventions, and Cobb-Douglas -- A Characterization of Hicks Neutral Technical Progress -- On Linear Expansion Paths and Homothetic Production Functions -- Neutral Inventions and CES Production Functions -- 2 Linear Multisectoral Production Models -- Production Duality and the von Neumann Theory of Growth and Interest -- A Note on a Production Problem in a Multisectoral Economic Model -- A Dynamic Input-Output Model with Variable Production Structure -- Disaggregated Production Functions -- 3 Nonlinear Multisectoral Production Models -- Balanced Growth of Open Economies under Variable Degree of Homogeneity -- On Weak Homogeneity -- 4 Production Correspondences -- Continuity of Production Correspondences and a Relation between Efficient Input and Output Vectors -- On Efficient Points of a Stochastic Production Correspondence -- Production Correspondences and Convex Algebra -- Semi-Homogeneous Production Functions and Scaling of Production -- The Law of Diminishing Returns -- 5 Topics Related to Production Theory -- A Category of Production Decision Models -- Value and Cost of Information Systems -- On The Problem of Product Life Cycle -- Author Index.