Mathematical Signs and Symbols -- Logic -- Arithmetic -- Algebra -- Linear Algebra -- Combinatorics -- Financial Mathematics -- Optimisation of Linear Models -- Functions -- Differential Calculus -- Integral Calculus -- Elasticities -- Economic Functions -- The Peren Theorem - The Mathematical...

Mathematical Signs and Symbols -- Logic -- Arithmetic -- Algebra -- Linear Algebra -- Combinatorics -- Financial Mathematics -- Optimisation of Linear Models -- Functions -- Differential Calculus -- Integral Calculus -- Elasticities -- Economic Functions -- The Perem Theorem - The Mathematical...

Vorwort -- Mathematische Zeichen und Symbole -- Logik -- Arithmetik -- Algebra -- Lineare Algebra -- Kombinatorik -- Finanzmathematik -- Optimierung linearer Modelle -- Funktionen -- Differentialrechnung -- Integralrechnung -- Elastizitäten -- Ökonomische Funktionen -- Peren-Theorem --...

1. Modeling -- 2. Sensitivity Analysis -- 3. Indexed Sensitivity Analysis -- 4. Scenario Analysis -- 5. Simulation Analysis -- 6. Customized Input Distributions -- 7. Decision Analysis – Expected Value Maximization -- 8. Decision Analysis – Advanced Topic -- 9. Optimization: Decisions With...

Vorwort -- 1. Mathematische Zeichen und Symbole -- 2. Logik -- 3. Arithmetik -- 4. Algebra -- 5. Lineare Algebra -- 6. Kombinatorik -- 7. Finanzmathematik -- 8. Optimierung linearer Modelle -- 9. Funktionen -- 10. Differentialrechnung -- 11. Integralrechnung -- 12. Elastizitäten -- 13....

Mathematical Signs and Symbols -- Logic -- Arithmetic -- Algebra -- Linear Algebra -- Combinatorics -- Financial Mathematics -- Optimisation of Linear Models -- Functions -- Differential Calculus -- Integral Calculus -- Elasticities -- Economic Functions -- The Peren Theorem - The Mathematical...

This paper proposes an analytic representation of perturbations in heterogeneous agent economies with aggregate shocks. Treating the underlying distribution as an explicit state variable, a single value function defined on an infinite-dimensional state space provides a fully recursive...

Chapter 1. Preliminaries -- Chapter 2. Topology -- Chapter 3. Metric Spaces -- Chapter 4. Normed Spaces -- Chapter 5. Sequences and Series -- Chapter 6. Differential Calculus of functions of one variable -- Chapter 7. Functions of several variables -- Chapter 8. Integral Calculus -- Chapter 9....

1. Introduction -- 2. Basic Statistics and Functions using R -- 3. Regression Fundamentals -- 4. Simple Linear Regression -- 5. Multiple Regression -- 6. Estimation Intervals and Analysis of Variance -- 7. Predictor Variable Transformations -- 8. Model Diagnostics -- 9. Variable Selection.

This elementary introduction was developed from lectures by the authors on business mathematics and the lecture "Analysis and Linear Algebra" for Bachelor's degree programmes. It is designed for courses in business administration and business informatics at universities, universities of applied...

Mathematik ist ein wichtiger methodischer Bestandteil im wirtschaftswissenschaftlichen Studium an Universitäten, Hochschulen sowie Berufsakademien. Schließlich stellt die Mathematik Modelle zur Beschreibung wirtschaftswissenschaftlicher Erscheinungen bereit, so dass komplexe Zusammenhänge...

This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders....

The topics studied in this Special Issue include a wide range of areas in finance, economics, tourism, management, marketing, and education. The topics in finance include stock market, volatility and excess returns, REIT, warrant and options, herding behavior and trading strategy, supply...

Matrices, their products, linear systems, and the underlying geometric ideas are presented in an intuitive and practical way for economics students and other students of the social sciences. Python Jupyter notebooks are used to present examples that enforce the geometric ideas

The topics studied in this Special Issue include a wide range of areas in finance, economics, tourism, management, marketing, and education. The topics in finance include stock market, volatility and excess returns, REIT, warrant and options, herding behavior and trading strategy, supply...

This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders....

This volume is a monograph on the geometric structure of a certain class of ("comprehensive") compact polyhedra called Cephoids. A Cephoid is a Minkowski sum of finitely many standardized simplices. The emphasis rests on the Pareto surface of Cephoids which consists of certain translates of...

A fundamental assumption in most of economic modeling is that people maximize their utility subject to a budget constraint. This, as well as many other economic problems, mathematically translate into problems of maximization with constraints. A powerful and widely used method to tackle some of...

In this paper we present some elements of calculus for economics: the chain rule and extended chain rule for calculation of derivatives of composite functions, and differentiation of functions defined implicitly. The emphasis, as always in this series, is in providing a pedagogical, intuitive...

This volume is a monograph on the geometric structure of a certain class of ("comprehensive") compact polyhedra called Cephoids. A Cephoid is a Minkowski sum of finitely many standardized simplices. The emphasis rests on the Pareto surface of Cephoids which consists of certain translates of...

Mathematische Methoden und Anwendungen haben einen festen Stellenwert in der Wirtschaftstheorie und -praxis. Finanz- und wirtschaftsmathematische Kenntnisse sind zwingend erforderlich, um den Anforderungen in Studium und Beruf zu genügen. Für Studierende der Wirtschaftswissenschaften stellt...

1. Introduction to R -- 2. Linear Algebra -- 3. Functions of one variable -- 4. Dierential Calculus -- 5. Integral Calculus -- 6. Multivariable Calculus -- 7. Constrained Optimization -- 8. Trigonometry -- 9. Complex numbers -- 10. Difference equations -- 11. Differential equations.

Mathematical foundations 1 -- Mathematical foundations 2 -- Mathematical foundations 3 -- Mathematical foundations 4 -- Global and local extrema of real-valued functions -- Global extrema of real-valued functions -- Local extrema of real-valued functions -- Convex and concave real-valued...

Vorwort -- 1. Mathematische Zeichen und Symbole -- 2. Logik -- 3. Arithmetik -- 4. Algebra -- 5. Lineare Algebra -- 6. Kombinatorik -- 7. Finanzmathematik -- 8. Optimierung linearer Modelle -- 9. Funktionen -- 10. Differentialrechnung -- 11. Integralrechnung -- 12. Elastizitäten -- 13....

This 2nd edition compendium contains and explains essential statistical formulas within an economic context. Expanded by more than 100 pages compared to the 1st edition, the compendium has been supplemented with numerous additional practical examples, which will help readers to better understand...

Die Ökonometrie nimmt bei der empirischen Fundierung ökonomischer Hypothesen und Theorien eine herausragende Stellung ein. Dieses Lehrbuch vermittelt anwendungsreife Methoden; Beispiele aus den Bereichen der Wirtschaftstheorie dienen ihrer Illustration und bieten Anhaltspunkte für eine...

Dieses Lehrbuch stellt die theoretischen Modelle der Volkswirtschaftslehre durch grundlegende mathematische Konzepte dar. Während eine wirtschaftswissenschaftliche akademische Karriere ohne fundierte Methodenkenntnisse undenkbar erscheint, sind in der akademischen Lehre die theoretischen...

"The book offers an overview of credit risk modeling and management. A three-step approach is adopted with the contents, after introducing the essential concepts of both mathematics and finance. Initially the focus is on the modeling of credit risk parameters mainly at the level of individual...

Preface AuthorSymbols and Abbreviations 1. Mathematical Foundations 1 2. Mathematical Foundations 2 3. Mathematical Foundations 3 4. Mathematical Foundations 4 5. Global and Local Extrema of Real-Valued Functions 6. Global Extrema of Real-Valued Functions 7. Local Extrema of Real-Valued...

Little is known about the relationship between Carl Menger, founder of the Austrian School of Economics and one of the three fathers of marginal utility theory, and Karl Menger, whose Vienna Mathematical Colloquium was crucial to the development of mathematical economics. The present paper...

Grundlagen -- Lineare Funktionen -- Lineare Gleichungssysteme -- Funktionen -- Ableitungen von Funktionen -- Anwendung der Differentialrechnung -- Funktionen mit mehreren Variablen -- Optimierung ohne und mit Nebenbedingungen -- Integralrechnung -- Matrizenrechnung.