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Mathematics and Methodology for Economics
Applications, Problems and Solutions
Taschenbuch von Winfried Gleißner (u. a.)
Sprache: Englisch

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Beschreibung
This book about mathematics and methodology for economics is the result of the lifelong experience of the authors. It is written for university students as well as for students of applied sciences. This self-contained book does not assume any previous knowledge of high school mathematics and helps understanding the basics of economic theory-building. Starting from set theory it thoroughly discusses linear and non-linear functions, differential equations, difference equations, and all necessary theoretical constructs for building sound economic models. The authors also present a solid introduction to linear optimisation and game theory using production systems. A detailed discussion on market equilibrium, in particular on Nash Equilibrium, and on non-linear optimisation is also provided. Throughout the book the student is well supplied with numerous examples, some 2000 problems and their solutions to apply the knowledge to economic theories and models.
This book about mathematics and methodology for economics is the result of the lifelong experience of the authors. It is written for university students as well as for students of applied sciences. This self-contained book does not assume any previous knowledge of high school mathematics and helps understanding the basics of economic theory-building. Starting from set theory it thoroughly discusses linear and non-linear functions, differential equations, difference equations, and all necessary theoretical constructs for building sound economic models. The authors also present a solid introduction to linear optimisation and game theory using production systems. A detailed discussion on market equilibrium, in particular on Nash Equilibrium, and on non-linear optimisation is also provided. Throughout the book the student is well supplied with numerous examples, some 2000 problems and their solutions to apply the knowledge to economic theories and models.
Über den Autor

Wolfgang Eichhornis professor at the Karlsruhe Institute of Technology (KIT, formerly University of Karlsruhe(TH)), Faculty of Economics. His fields of research are economics, mathematics, operations research, mathematical modelling in economics, particularly in practise and theory of production, growth, distribution of wealth, games, prices, and price indices. He also published papers in statistics, especially on measurement in economics, and in insurance, mainly on macroeconomic aspects of risk management. He was research counsel for the German Research Foundation, the German Federal Cartel Office, the Munich Reinsurance Company, and for several national and international Scientific Publishing Companies. His research inspired his teaching: more than forty years mostly at Karlsruhe, but also, among others, at the Universities of Berkeley (UC), Bonn, Fribourg, Lisboa (TU), Los Angeles (USC), Rio de Janeiro (UF), Vancouver (UBC), Vienna (WU), Waterloo (UofW), Würzburg.

Winfried Gleißner is a member of the Faculty of Business Administration at the University of Applied Sciences in Landshut, where he is responsible for mathematics and information technology. He is specialized on computer and network security. His fields of research are mathematical modelling in economics, particularly in the theory of growth, measurement in economics, taxes, distribution of wealth, price indices. He developped a model

for the spread of computer viruses, which was recognized in the medical world. This influenced his teaching experience: some twenty years, mostly in Landshut, but also at the Technical Universites of Karlsruhe and Munich, the University of Applied Sciences in Rosenheim. Further he is a forensic expert in computer and network security, among others in credit cards.
Zusammenfassung

Provides the core knowledge required for a mathematical approach to economics

Includes more than 2,000 examples and exercises with applications and answers

Helps in understanding the role of mathematics in methodology for economics

Inhaltsverzeichnis

Sets, Numbers and Vectors.- Production Systems.- Mappings, Functions.- Affine and Linear Functions.- Linear Optimisation, Duality. Zero-Sum Games.- Functions, Their Limits, and Their Derivatives.- Nonlinear Functions.- Nonlinear Optimisation.- Set Valued Functions. Equilibria. Games.- Integrals.- Differential Equations.- Difference Equations.- Models and Theories in Economics.

Details
Erscheinungsjahr: 2019
Fachbereich: Volkswirtschaft
Genre: Recht, Sozialwissenschaften, Wirtschaft
Rubrik: Recht & Wirtschaft
Medium: Taschenbuch
Reihe: Springer Texts in Business and Economics
Inhalt: xix
630 S.
143 farbige Illustr.
630 p. 143 illus. in color.
ISBN-13: 9783319794723
ISBN-10: 3319794728
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Gleißner, Winfried
Eichhorn, Wolfgang
Auflage: Softcover reprint of the original 1st ed. 2016
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Texts in Business and Economics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 35 mm
Von/Mit: Winfried Gleißner (u. a.)
Erscheinungsdatum: 21.03.2019
Gewicht: 0,972 kg
Artikel-ID: 115103154
Über den Autor

Wolfgang Eichhornis professor at the Karlsruhe Institute of Technology (KIT, formerly University of Karlsruhe(TH)), Faculty of Economics. His fields of research are economics, mathematics, operations research, mathematical modelling in economics, particularly in practise and theory of production, growth, distribution of wealth, games, prices, and price indices. He also published papers in statistics, especially on measurement in economics, and in insurance, mainly on macroeconomic aspects of risk management. He was research counsel for the German Research Foundation, the German Federal Cartel Office, the Munich Reinsurance Company, and for several national and international Scientific Publishing Companies. His research inspired his teaching: more than forty years mostly at Karlsruhe, but also, among others, at the Universities of Berkeley (UC), Bonn, Fribourg, Lisboa (TU), Los Angeles (USC), Rio de Janeiro (UF), Vancouver (UBC), Vienna (WU), Waterloo (UofW), Würzburg.

Winfried Gleißner is a member of the Faculty of Business Administration at the University of Applied Sciences in Landshut, where he is responsible for mathematics and information technology. He is specialized on computer and network security. His fields of research are mathematical modelling in economics, particularly in the theory of growth, measurement in economics, taxes, distribution of wealth, price indices. He developped a model

for the spread of computer viruses, which was recognized in the medical world. This influenced his teaching experience: some twenty years, mostly in Landshut, but also at the Technical Universites of Karlsruhe and Munich, the University of Applied Sciences in Rosenheim. Further he is a forensic expert in computer and network security, among others in credit cards.
Zusammenfassung

Provides the core knowledge required for a mathematical approach to economics

Includes more than 2,000 examples and exercises with applications and answers

Helps in understanding the role of mathematics in methodology for economics

Inhaltsverzeichnis

Sets, Numbers and Vectors.- Production Systems.- Mappings, Functions.- Affine and Linear Functions.- Linear Optimisation, Duality. Zero-Sum Games.- Functions, Their Limits, and Their Derivatives.- Nonlinear Functions.- Nonlinear Optimisation.- Set Valued Functions. Equilibria. Games.- Integrals.- Differential Equations.- Difference Equations.- Models and Theories in Economics.

Details
Erscheinungsjahr: 2019
Fachbereich: Volkswirtschaft
Genre: Recht, Sozialwissenschaften, Wirtschaft
Rubrik: Recht & Wirtschaft
Medium: Taschenbuch
Reihe: Springer Texts in Business and Economics
Inhalt: xix
630 S.
143 farbige Illustr.
630 p. 143 illus. in color.
ISBN-13: 9783319794723
ISBN-10: 3319794728
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Gleißner, Winfried
Eichhorn, Wolfgang
Auflage: Softcover reprint of the original 1st ed. 2016
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Texts in Business and Economics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 35 mm
Von/Mit: Winfried Gleißner (u. a.)
Erscheinungsdatum: 21.03.2019
Gewicht: 0,972 kg
Artikel-ID: 115103154
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