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This 4th edition revised and extended compendium contains and explains essential mathematical formulas within an economic context. Newly added content introduces non-linear optimization, focusing on maximizing or minimizing real problems using at least one non-linear function and continuous variables. It explains how non-linear programs may include various constraints, are influenced by the properties of the objective functions and the admissible domain, and are characterized by iterative solution processes that ideally converge to feasible, locally optimized solutions.
A broad range of aids and supportive examples will help readers to understand the formulas and their practical applications. This mathematical formulary is presented in a practice-oriented, clear, and understandable manner, as it is needed for meaningful and relevant application in global business, as well as in the academic setting and economic practice. The topics presented include but are not limited to mathematical signs and symbols, logic, arithmetic, algebra, linear algebra, combinatorics, and financial mathematics, including an international comparison between different national methods used in the calculation of interest, optimization of linear models, functions, differential calculus, integral calculus, elasticities, annuity calculation, economic functions, and the Peren Theorem.
Given its scope, the book offers an indispensable reference guide and is a must-read for undergraduate and graduate students, as well as managers, scholars, and lecturers in business, politics, and economics.
List of contents
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 Frame in Which We Live.
About the author
Franz W. Peren is a professor of business administration at the Bonn-Rhein-Sieg University, Germany, specializing in quantitative methods. He has been teaching business mathematics, business statistics, and quantitative methods in planning, taxation, and controlling within operational and strategic management since 1993, mainly at German universities of applied sciences. He has also taught and conducted research as a visiting professor at the University of Victoria in Victoria, BC, Canada, and at Columbia University in New York City, USA.
Summary
This 4th edition revised and extended compendium contains and explains essential mathematical formulas within an economic context. Newly added content introduces non-linear optimization, focusing on maximizing or minimizing real problems using at least one non-linear function and continuous variables. It explains how non-linear programs may include various constraints, are influenced by the properties of the objective functions and the admissible domain, and are characterized by iterative solution processes that ideally converge to feasible, locally optimized solutions.
A broad range of aids and supportive examples will help readers to understand the formulas and their practical applications. This mathematical formulary is presented in a practice-oriented, clear, and understandable manner, as it is needed for meaningful and relevant application in global business, as well as in the academic setting and economic practice. The topics presented include but are not limited to mathematical signs and symbols, logic, arithmetic, algebra, linear algebra, combinatorics, and financial mathematics, including an international comparison between different national methods used in the calculation of interest, optimization of linear models, functions, differential calculus, integral calculus, elasticities, annuity calculation, economic functions, and the Peren Theorem.
Given its scope, the book offers an indispensable reference guide and is a must-read for undergraduate and graduate students, as well as managers, scholars, and lecturers in business, politics, and economics.
