Mathematical Formulas for Economists
This collection of formulas constitutes a compendium of mathematics for eco nomics and business. It contains the most important formulas, statements and algorithms in this significant subfield of modern mathematics and addresses primarily students of eco
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Bernd Luderer • Volker NoUau Klaus Vetters
Mathematical Formulas for Economists Second Edition
With 62 Figures and 6 Tables
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Professor Dr. Bernd Luderer Chemnitz University of Technology Department of Mathematics Reichenhainer Strafie 41 09126 Chemnitz Germany [email protected] Professor Dr. Volker Nollau Dr. Klaus Vetters Dresden University of Technology Department of Mathematics and Science Zellescher Weg 12-14 01069 Dresden Germany [email protected] [email protected]
ISBN-10 3-540-27916-4 Springer Berlin Heidelberg New York ISBN-13 978-3-540-27916-7 Springer Berlin Heidelberg New York ISBN
3-540-42616-7 1st edition Springer Berlin Heidelberg New York
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Preface
This collection of formulas constitutes a compendium of mathematics for economics and business. It contains the most important formulas, statements and algorithms in this significant subfield of modern mathematics and addresses primarily students of economics or business at universities, colleges and trade schools. But people dealing with practical or applied problems will also find this collection to be an efiicient and easy-to-use work of reference. First the book treats mathematical symbols and constants, sets and statements, number systems and their arithmetic as well as fundamentals of combinatorics. The chapter on sequences and series is followed by mathematics of finance, the representation of functions of one and several independent variables, their differential and integral calculus and by differential and difference equations. In each case special emphasis is placed on applications and models in economics. The chapter on linear algebra deals with matrices, vectors, determinants and systems of linear equations. This is followed by the representation of structures and algorithms of linear programming. Finally, the reader finds formulas on descri
