Mathematical Methods for Management

Mathematical Methods for Management / Veerachamy, R.

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Bibliographic Details
Main Author: Veerachamy, R.
Format: eBook
Language:English
Published: [Place of publication not identified] New Age International, 2011.
Subjects:
Management > Mathematical models.
Industrial management > Mathematical models.
Industrial management > Mathematical models
Management > Mathematical models
Online Access:Click for online access
Table of Contents:
  • Cover; Preface; Contents; Chapter 1 Introduction to Mathematical Methods; 1.1 The Changing Scenario of Business; 1.2 Mathematics and Management Decisions; 1.3 Advantages of Using Mathematics in Business; 1.4 Disadvantages of Using Mathematics in Business ; 1.5 Problem Solving and Decision-Making ; Exercises; Chapter 2 The Theory of Sets ; 2.1 Introduction; 2.2 Definition of a Set; 2.3 Basic Operations on Sets; 2.4 The Cartesian Product Set; 2.5 Relations; 2.6 Functions; Chapter 3 Linear and Non-Linear Functions ; 3.1 Generalized Mathematical Form of a Function; 3.2 Types of Functions.
  • 3.3 Linear Functions3.4 Application of Linear Functions in Microeconomics; 3.5 Use of Linear Functions in International Trade; 3.6 Application of Linear Functions in Macroeconomics; 3.7 Linear Equations and their Solutions; 3.8 Second Degree or Quadratic Functions; 3.9 Second Degree or Quadratic Equations and their Solutions ; 3.10 Use of Cubic Functions; 3.11 Power Functions; 3.12 Exponential Functions; 3.13 Use of Exponential Functions in Interest Compounding; 3.14 Nominal vs. Effective Annual Interest Rates ; 3.15 The Time Value of Money (Discounding Principle); 3.16 Annuities.
  • 3.17 Use of Exponential Function in the Theory of Growth and Decay3.18 Logarithmic Functions; Exercises; Chatper 4 AP, GP and Their Applications ; 4.1 Sequence; 4.2 Arithmetic Progression; 4.3 The nth term of an AP; 4.4 Sum of the First n Terms of a Given AP; 4.5 Food Grain Production and AP; 4.6 Important Characteristic of an AP; 4.7 Geometric Progression; 4.8 The nth term of the GP; 4.9 Convenient Method for Representing consecutive Terms of a GP; 4.10 ImportantCharacteristic of a GP; 4.11 Population Growth and GP; 4.12 Multiplier and GP; 4.13 Cournot Model and GP ; Exercises.
  • Chapter 5 Metric Algebra and Its Applications 5.1 Definition of a Matrix; 5.2 Elementary Operations in Matrices; 5.3 Types of Matrices; 5.4 Linear Equations in Matrix Form; 5.5 Gaussian Elimination Method ; 5.6 Augmented Matrix Method; 5.7 The Echelon Form; 5.8 Consistent and Inconsistent Linear Systems; 5.9 The Rank of the System; 5.10 Unit Matrix Method; 5.11 The Square Linear System and Inverse Matrix Solution; Exercises; Chapter 6 Determinants and Its Applications ; 6.1 Definition of a Determinant; 6.2 Some Important Properties of Determinants; 6.3 Cramer's Rule; Exercises.
  • Chapter 7 Limits and Continuity7.1 Introduction; 7.2 The Concept Limit; 7.3 Definition of Limit; 7.4 Left Hand Limit; 7.5 Right Hand Limit; 7.6 Working Rule for Getting the Limit; 7.7 Theorems on Limit; 7.8 Continuity of Functions; Exercises; Chapter 8 Differential Calculus; 8.1 Introduction; 8.2 The Derivative or the Differential Coefficient; 8.3 The Meaning of the Concept Derivative: A Diagrammatic Illustration ; 8.4 Diagrammatic Meaning of the Concept Derivative; 8.5 Rules for Obtaining the Derivatives; 8.6 Application of Derivatives in Economics.

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