apl. Prof. Dr. Frank Werner

Otto-von-Guericke Universität Magdeburg

Institut für Mathematische Optimierung

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Textbook: Mathematics of Economics and Business

Authors: Frank Werner and Yuri N. Sotskov

Publisher: Routledge, Taylor & Francis Ltd, Abingdon (UK), New York (USA), 2006, First Edition

ISBN of paperback version: 0-415-33281-8    (ISBN-13: 9-78-0-415-33281-1)

ISBN of hardcover version: 0-415-33280-X    (ISBN-13: 9-78-0-415-33280-4)


The textbook has 536 pages, 73 tables and 87 b&w line drawings (and 301 examples). The first edition has been released on 23 February 2006.

The PAPERBACK version of the book can be ordered using e.g. the BookFinder4U, or Eurobuch or AllDiscountBooks or DirectTextbook or Buchpreis24 or Addall (which all compare current prices in several shops). The complete textbook can also be downloaded as an Ebook under eBooks.com, at Taylor & Francis eBooks or under iTunes.

When looking for the HARDCOVER version, one can use e.g. the BookFinder4U, or AllDiscountBooks or DirectTextbook.

Further sites and shops (date: September 2020):

  • Google Play    (4.7/5)
  • Weltbild    (5/5)
  • Amoye    (4.6/5)

    In book shops (e.g. Coppenrath & Boeser in house 22 of the university campus in Magdeburg), it has to be ordered in advance. At WorldCat, you can get an information in which libraries of particular countries (e.g. USA, Australia, Canada, UK, Hong Kong) the book is available as a printed or E-book.

    New: In 2017, Taylor & Francis sent me the request to include the EBOOK into the open archive so that it can be FREELY DOWNLOADED. I accepted and one can download it e.g. from: Taylor & Francis Group
    or recently also FREELY AT ALL AMAZON KINDLE STORES, e.g. under Amazon.com or under Amazon.de or under Amazon.in.

    Below you can view into the book at 'Google books' and find the table of contents. At the end, a list of identified misprints in the first edition is given (which will be periodically updated if necessary).

  • A selection of universities, where the book is on the reading list:

  • Robert Gordon University Aberdeen / UK
  • Patkai Christian College / India
  • University of Gdansk / Poland
  • West Pomeranian Business School Sczcecin / Poland
  • Korea University Business School / Korea
  • Edge Hill University Ormskirk / UK
  • Nagaland University Hqs. Lumami / India
  • Institute of Business Administration Karachi / Pakistan
  • University of London (School of Oriental and African Studies) / UK
  • Norton University Phnom Penh / Cambodia
  • Tilburg University / Netherlands
  • Holy Cross of Davao College, Davao City / Philippines
  • STAIN Palopo / Indonesia
  • Frankfurt School of Finance and Management / Germany
  • Chinese University of Hong Kong / China
  • ISA - International Studies Abroad; Seoul / South Korea
  • Comenius University Bratislava / Slovakia
  • Barcelona GSE / Spain
  • Max Planck Institute / Germany
  • Barcelona Graduate School of Economics / Spain

    View into the book at Google Books

    Bestselling List of BestBookBuys from November 2011 (Rank 4 of 153 books under the keywords 'Mathematics Economics')

    Sales Information at Amazon.de from October 2014

    Table of Contents

    1 Introduction
    1.1 Logic and Propositional Calculus
    1.1.1 Propositions and their Composition
    1.1.2 Universal and Existential Propositions
    1.1.3 Types of Mathematical Proof
    1.2 Sets and Operations on Sets
    1.2.1 Basic Definitions
    1.2.2 Operations on Sets
    1.3 Combinatorics
    1.4 Real and Complex Numbers
    1.4.1 Real Numbers
    1.4.2 Complex Numbers

    2 Sequences, Series, Finance
    2.1 Sequences
    2.1.1 Basic Definitions
    2.1.2 Limit of a Sequence
    2.2 Series
    2.2.1 Partial Sums
    2.2.2 Series and Convergence of Series
    2.3 Finance
    2.3.1 Simple Interest and Compound Interest
    2.3.2 Periodic Payments
    2.3.3 Loan Repayments, Redemption Tables
    2.3.4 Investment Projects
    2.3.5 Depreciation

    3 Relations, Mappings, Functions of a Real Variable
    3.1 Relations
    3.2 Mappings
    3.3 Functions of a Real Variable
    3.3.1 Basic Notions
    3.3.2 Properties of Functions
    3.3.3 Elementary Types of Functions

    4 Differentiation
    4.1 Limit and Continuity
    4.1.1 Limit of a Function
    4.1.2 Continuity of a Function
    4.2 Difference Quotient and the Derivative
    4.3 Derivatives of Elementary Functions, Differentiation Rules
    4.4 Differential, Rate of Change and Elasticity
    4.5 Graphing Functions
    4.5.1 Monotonicity
    4.5.2 Extreme Points
    4.5.3 Convexity and Concavity
    4.5.4 Limits
    4.5.5 Further Examples
    4.6 Mean-Value Theorem
    4.7 Taylor Polynomials
    4.8 Approximate Determination of Zeroes

    5 Integration
    5.1 Indefinite Integrals
    5.2 Integration Formulas and Methods
    5.2.1 Basic Integration Formulas
    5.2.2 Integration by Substitution
    5.2.3 Integration by Parts
    5.3 The Definite Integral
    5.4 Approximation of Definite Integrals
    5.5 Improper Integrals
    5.5.1 Infinite Limits of Integration
    5.5.2 Unbounded Integrands
    5.6 Some Applications of Integration
    5.6.1 Present Value of a Continuous Future Income Flow
    5.6.2 Lorenz Curves
    5.6.3 Consumer and Producer Surplus

    6 Vectors
    6.1 Preliminaries
    6.2 Operations on Vectors
    6.3 Linear Dependence and Independence
    6.4 Vector Spaces

    7 Matrices and Determinants
    7.1 Matrices
    7.2 Matrix Operations
    7.3 Determinants
    7.4 Linear Mappings
    7.5 The Inverse Matrix
    7.6 An Economic Application: Input-Output Model

    8 Linear Equations and Inequalities
    8.1 Systems of Linear Equations
    8.1.1 Preliminaries
    8.1.2 Existence and Uniqueness of a Solution
    8.1.3 Elementary Transformations, Solution Procedures
    8.1.4 General Solution
    8.1.5 Matrix Inversion
    8.2 Systems of Linear Inequalities
    8.2.1 Preliminaries
    8.2.2 Properties of Feasible Solutions
    8.2.3 A Solution Procedure

    9 Linear Programming
    9.1 Preliminaries
    9.2 Graphical Solution
    9.3 Properties of a Linear Programming Problem, Standard Form
    9.4 Simplex Algorithm
    9.5 Two-Phase Simplex Algorithm
    9.6 Duality, Complementary Slackness
    9.7 Dual Simplex Algorithm

    10 Eigenvalue Problems and Quadratic Forms
    10.1 Eigenvalues and Eigenvectors
    10.2 Quadratic Forms and their Sign

    11 Functions of Several Variables
    11.1 Preliminaries
    11.2 Partial Derivatives, Gradient
    11.3 Total Differential
    11.4 Generalized Chain Rule, Directional Derivatives
    11.5 Partial Rate of Change and Elasticity, Homogeneous Functions
    11.6 Implicit Functions
    11.7 Unconstrained Optimization
    11.7.1 Optimality Conditions
    11.7.2 Method of Least Squares
    11.7.3 Extreme Points of Implicit Functions
    11.8 Constrained Optimization
    11.8.1 Local Optimality Conditions
    11.8.2 Global Optimality Conditions
    11.9 Double Integrals

    12 Differential Equations and Difference Equations
    12.1 Differential Equations of the First Order
    12.1.1 Graphical Solution
    12.1.2 Separable Differential Equations
    12.2 Linear Differential Equations of Order n
    12.2.1 Properties of Solutions
    12.2.2 Differential Equations with Constant Coefficients
    12.3 Systems of Linear Differential Equations of the First Order
    12.4 Linear Difference Equations
    12.4.1 Definitions and Properties of Solutions
    12.4.2 Linear Difference Equations of the First Order
    12.4.3 Linear Difference Equations of the Second Order

    List of identified misprints in the first edition (date: 10 March 2017)


    English version Last updated: 1 Oct 2019