## Book description

Chapters and topics have been organized in a reader-friendly manner. Ample number of solved examples and exercise problems included in each chapter. Extensive coverage of applications of mathematical modeling in business. Ideal text for all levels with real-life applications.

## Table of contents

1. Cover
2. Title page
3. Brief Contents
4. Contents
5. About the Author
6. Dedication
7. Foreword
8. Preface
9. CHAPTER 1 Introduction to Business Mathematics
1. 1.1 Introduction to Business Mathematics
2. 1.2 Scope and Importance
3. 1.3 Number System
4. 1.4 Positive and Negative Integers
5. 1.5 Fractions
6. 1.6 Rational and Irrational Numbers
7. 1.7 Real Numbers
8. 1.8 Sum of First n Natural Numbers
9. 1.9 Sum of Square and Sum of Cube of First n Natural Numbers
10. CHAPTER 2 Algebra
1. 2.1 Algebra
2. 2.2 Algebraic Identities
3. 2.3 Simple Factorizations
4. 2.4 Equations
5. 2.5 Linear and Quadratic Equations
6. 2.6 Indices and Surds
7. 2.7 Logarithms and Their Properties
8. 2.8 Problems Based on Logarithms
9. 2.9 Inequality in Graphs
10. 2.10 Remainder Theorem and Factor Theorem
11. Exercise
11. CHAPTER 3 Theory of Sets and Its Business Applications
1. 3.1 Set Theory
2. 3.2 Representation of Sets
3. 3.3 Union of Sets
4. 3.4 Intersection of Two Sets
5. 3.5 Complement of a Set
6. 3.6 Subset
7. 3.7 Null Set/Empty Set/Void Set
8. 3.8 Difference of a Set
9. 3.9 De Morgan’s Law
10. 3.10 Universal Set
11. 3.11 Basic Operations on Set
12. 3.12 Cartesian Products
13. 3.13 Laws of Set Algebra
14. 3.14 Cardinal Numbers
15. 3.15 Venn Diagram
16. 3.16 Business Applications
17. Exercise
12. CHAPTER 4 Ratio
1. 4.1 Ratio
2. 4.2 Proportion
3. 4.3 Types of Proportion
4. 4.4 Ratio, Proportion and Its Type of Comparison
5. 4.5 Variations
6. 4.6 Percentage
7. 4.7 Annexing Zeros and Removing Decimal Signs
8. 4.8 Average (Arithmetic Mean)
9. 4.9 Computation of Mean for Grouped Series
10. 4.10 Mean of Composite Group
11. Exercise
13. CHAPTER 5 Functions and Graphs
1. 5.1 Introduction
2. 5.2 Function
3. 5.3 Domain and Range of a Function
4. 5.4 Continuous and Discrete Functions
5. 5.5 Composition and Inverse Functions
6. 5.6 Classification of Functions
7. 5.7 Exponential and Logarithmic Functions
8. 5.8 Graphs
9. 5.9 Modulus Function
10. Exercise
14. CHAPTER 6 Quadratic Functions and Theory of Quadratic Equations
15. CHAPTER 7 Permutation and Combination
1. 7.1 Fundamental Counting Principl
2. 7.2 Factorial
3. 7.3 Permutation
4. 7.4 Restricted Permutation
5. 7.5 Circular Permutations
6. 7.6 Combination
7. 7.7 Restricted Combinations
8. 7.8 Division into Groups
9. 7.9 Mixed Problems on Permutation and Combination
10. Exercise
16. CHAPTER 8 Mathematical Induction and Binomial Theorem
17. CHAPTER 9 Sequence and Series–Its Application to Business
1. 9.1 General Idea and Different Types of Sequences
2. 9.2 Different Types of Sequence
3. 9.3 Kinds of Sequence
4. 9.4 Arithmetic and Geometric Means
5. 9.5 Arithmetic Progression (AP)
6. 9.6 Geometric Progression (GP)
7. 9.7 Harmonic Progression (HP)
8. Exercise
18. CHAPTER 10 Compound Interest and Annuities
1. 10.1 Interest
2. 10.2 Present Value and Amount of a Sum
3. 10.3 Annuity and Its Types
4. 10.4 Present Value of an Annuity (PVA)
5. 10.5 Debenture
6. Exercise
19. CHAPTER 11 Coordinate Geometry
20. CHAPTER 12 Locus and Equation to a Locus
21. CHAPTER 13 Straight Line
1. 13.1 Introduction
2. 13.2 Definitions of the Terms
3. 13.3 Different Forms of the Equation of a Straight Line
4. 13.4 Distance of a Point from a Straight Line
5. 13.5 Angle Between Two Lines and Condition of Parallelism and Perpendicularityof Lines
6. 13.6 Point of Intersection of Two Lines
7. 13.7 Condition for Concurrency of Three Given Straight Lines
8. 13.8 Position of a Point with Respect to a Given Line
9. Exercise
22. CHAPTER 14 Circle
1. 14.1 Introduction
2. 14.2 Standard Form/General Form/Center Radius Form of the Equation of a Circle
3. 14.3 Finding the Centre and Radius of a Circle
4. 14.4 Position of a Point with Respect to a Given Circle
5. 14.5 Condition for a Line to be a Tangent
6. 14.6 Diameter Form of the Equation of a Circle
7. 14.7 Tangents
8. 14.8 Points of Intersection of a Circle and a Straight Line
9. 14.9 To Find the Length of the Tangent from P(x1, y1) to the Circle
10. 14.10 Condition for Two Circles to Touch Each Other
11. 14.11 Normal
12. 14.12 Equations of the Circles in Some Special Cases
13. 14.13 Angle of Intersection of Two Circles
14. 14.14 Equation of the Common Chord (Radical Axis) of the Two Circles
15. 14.15 Family of Circles
16. Exercise
23. CHAPTER 15 Matrix and Its Applications to Business
1. 15.1 Introduction
2. 15.2 Definitions and Notations
3. 15.3 Operations on Matrices
4. 15.4 Conversion of a Business Problem into a Linear System of Equations (LSE) (Figure 15.1)
5. 15.5 Determinant of a Square Matrix
6. 15.6 Matrix Equation
7. 15.7 Methods to Solve Linear System of Equations
8. Exercise
24. CHAPTER 16 Application of Matrix Concept
1. 16.1 Input-Output Analysis
2. 16.2 Markov Analysis
3. Exercise
25. CHAPTER 17 Differential Calculus and Its Business Applications
1. 17.1 Introduction
2. 17.2 Limit of a Function and Rules for Evaluating the Limit of a Function
3. 17.3 Continuous Function
4. 17.4 Slope and Rate of Change
5. 17.5 Method for Evaluating the Differential Coefficient Using the First Principle and Standard Results
6. 17.6 Differentiation of an Implicit function
7. 17.7 Parametric Differentiation
8. 17.8 Logarithmic Differentiation
9. 17.9 Applications of Differential Calculus
10. 17.10 Successive Differentiation
11. 17.11 Concept of Maxima and Minima
12. 17.12 Lagrangian Method for Equality Constraints
13. 17.13 Constrained Optimization with Inequality Constraints: Kuhn−Tucker Conditions
14. 17.14 Differential Equation
15. Exercise
26. CHAPTER 18 Applications of Integral Calculus to Business
1. 18.1 Introduction
2. 18.2 Constant of Integration
3. 18.3 List of Standard Integrals
4. 18.4 Standard Results
5. 18.5 Definite Integral
6. 18.6 Integration by Substitution
7. 18.7 Method of Partial Fractions
8. 18.8 Method of Integration by Parts
9. 18.9 Application of Integral Calculus to Business
10. 18.10 Learning Curves
11. Exercise
27. CHAPTER 19 Functions and Their Applications to Business
1. 19.1 Introduction
2. 19.2 Function
3. 19.3 Functions Related to Commerce and Economic Theory
4. Exercise
28. CHAPTER 20 Linear Programming and Its Application to Business
1. 20.1 Introduction
2. 20.2 General Model of the Linear Programming Problem
3. 20.3 Characteristics of a Linear Programming Problem
4. 20.4 Assumptions of Linear Programming
5. 20.5 Formulation of Linear Programming Program
6. 20.6 Standard Form of an LPP
7. 20.7 Solution to an LPP
8. 20.7.1 Types of Possible Solutions to an LPP
9. 20.8 Convex Set and Extreme Point
10. 20.9 Graphical Solution to an LPP
11. 20.10 Simplex Methods
12. Exercise
29. CHAPTER 21 Transportation Problem
1. 21.1 Introduction
2. 21.2 Conversion of a TP into an Equivalent LPP Form
3. 21.3 Formulation of a Transportation Problem
4. 21.4 Concept of Feasibility, Basicness and Degeneracy
5. 21.5 Methods Used to Find the Solution to a Transportation Problem
6. 21.6 Description of Various Methods to Find the Initial Basic Feasible Solution
7. 21.7 Stepping Stone Method/Modified Distributive Method
8. 21.8 Transshipment Problems
9. 21.9 Sensitivity Analysis for Transportation Problem
10. 21.10 Introduction to Assignment Programming Problem
11. 21.11 Introduction to Game Theory
12. Exercise
30. CHAPTER 22 Probability Theory
1. 22.1 Introduction
2. 22.2 Definition for Certain Key Terms
3. 22.3 Meaning of Probability
4. 22.4 Baye’s Theorem
5. 22.5 Random Variables and Expectation
6. 22.6 Probability Distribution
7. 22.7 Mathematical Expectation
8. 22.8 Discrete Probability Distribution (Binomial and Poisson Distributions)
9. 22.9 Poisson Distribution
10. 22.10 Continuous Probability Distribution (Normal Distribution)
11. Exercise
31. CHAPTER 23 Correlation and Regression Analysis
1. 23.1 Introduction
2. 23.2 Correlation
3. 23.3 Karl Pearson Coefficient of Correlation
4. 23.4 Coefficient of Correlation for a Grouped Data
5. 23.5 Probable Error of the Coefficient of Correlation
6. 23.6 Rank Correlation
7. 23.7 Regression Equations
8. Exercise
32. CHAPTER 24 Concept of Shares
1. 24.1 Shares
2. 24.2 Stock Exchange
3. 24.3 Nature of Shares
4. 24.4 Different Types of Shares
5. 24.5 Bonus Share
33. Acknowledgements
34. Copyright
35. Back Cover

## Product information

• Title: Business Mathematics
• Author(s): P. Mariappan
• Release date: April 2015
• Publisher(s): Pearson Education India
• ISBN: 9789332558380