Business Mathematics 3e

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Published by Vijay Nicole Imprints Private Limited

Publication Date: Sat Mar 01 00:00:00 UTC 2014 Available in all formats

ISBN: 9789393161680

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ISBN: 9788182092037 Price: INR 210.00

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Description

Table of contents

Biographical note

User Reviews

This book Business Mathematics designed for B.Com Students covers the syllabus prescribed by the Madras University. To make the subject more interesting, we have followed a logical organization of chapters. The numerous solved problems given in this book follow a step-by-step approach and virtually all patterns of questions are included to make this book student-friendly.

Cover
Halftitle Page
Title Page
Copyright Page
Preface
Contents
Chapter 1 Set Theory
- Sets
  - Finite and Infinite Sets
  - Equality of Sets
  - Null Set
  - Subset
  - Proper Subset
  - Universal Set
  - Power Set
  - Disjoint Sets
- Venn Diagram
- Set Operations
  - Union
  - Intersection
  - Difference
  - Complement
  - Symmetric Difference
  - Demorgan Laws
- Functions
  - Equal Functions
  - Range of a Function
  - One-to-One Function
  - Onto Function
  - Identity Function
  - Constant Function
  - Composite Function or Product Function
  - Inverse Function
- Ordered Pairs
  - Product Sets
  - Graph of a Function
  - Propositional Function—Open Sentences
- Relations
  - Solution Sets
  - Inverse Relations
  - Reflexive Relations
  - Symmetric Relations
  - Antisymmetric Relations
  - Transitive Relations
  - Equivalence Relations
  - Index Sets
- Partitions
- Sets of Numbers
  - Natural Numbers (N)
  - Integers (Z)
  - Rational Numbers (Q)
  - Irrational Numbers (Q')
  - Real Numbers (R)
  - Complex Numbers (C)
- Worked Examples
- Exercise
- Answers
Chapter 2 Ratio, Proportion and Variation
- Ratio
- Proportion
- Variation
  - Direct Variation
  - Inverse Variation
  - Joint Variation
- Worked Examples
- Exercise
- Answers
Chapter 3 Permutations and Combinations
- Introduction
- Permutations
- Combinations
- Worked Examples
- Exercise
- Answers
Chapter 4 Binomial Theorem
- Binomial Theorem (Positive Integral Index)
- Worked Examples
- Exercise
- Answers
- Exponential and Logarithmic Series
  - Introduction
- Worked Examples
- Exercise
- Answers
Chapter 5 Differential Calculus
- Definition
  - Rules of Differentiation
- Worked Examples
- Exercise
- Answers
- Higher Order Derivatives
- Worked Examples
- Exercise
- Answers
- Maxima and Minima
  - Working Rule for Finding
- Worked Examples
- Exercises
- Answers
- Points of Inflexion
- Worked Examples
- Exercise
- Answers
Chapter 6 Interest, Annui ties and Discount
- Simple Interest
- Compound Interest
- The amount of an Annuity Left Unpaid
  - Important Formulae
- Freehold Estate and Leasehold Estate
  - Sinking Fund
  - Amortization
  - Discount
- Worked Examples
- Exercise
- Answers
Chapter 7 Plane Analytical Geometry
- Introduction
- Length of a Line Segment
  - Section Formula
- Gradient or Slope of a Line
  - Various Forms of Equation of a Straight Line
- Worked Examples
- Exercise
- Answers
- Circle
  - Equation of a Circle
- Worked Examples
- Exercise
- Answers
- Conics
  - Parabola
- Worked Examples
- Exercise
- Answers
  - Ellipse
- Worked Examples
- Exercise
- Answers
  - Hyperbola
- Worked Examples
- Exercise
- Answers
Chapter 8 Progressions
- Arithmetic Progression (A.P.)
  - Sum to n Terms of an A.P.
- Arithmetic Mean (A.M.)
- Geometric Progression (G.P.)
  - Sum to n Terms of a G.P.
- Geometric Mean (G.M.)
- Harmonic Progression (H.P.)
  - Harmonic Means (H.M.)
- Relation Between G.M., A.M. and H.M.
- Worked Examples
- Exercise
- Answers
Chapter 9 Integral Calculus
- Rules of Integeration
- Some Standard Results
- Worked Examples
- Exercise
- Answers
Chapter 10 Interpolation
- Numerical Methods
  - Interpolation
  - Newton’s Forward Interpolation Formula
- Worked Examples
  - Backward Differences
  - Newton’s Backward Interpolation Formula
- Worked Examples
- Missing Terms (Equal Intervals)
- Worked Examples
- Exercise
- Answers
Chapter 11 Matrices
- Definition
- Various Types of Matrices
  - Square Matrix
  - Diagonal Matrix
  - Scalar Matrix
  - Unit Matrix
  - Null Matrix or Zero
  - RowMatrix
  - ColumnMatrix
  - Transpose of a Matrix
  - Symmetric Matrix
  - Skew Symmetric Matrix
- Algebraic Operations
  - Addition of Matrices
  - Scalar Product
  - Multiplication of Two Matrices
  - Determinant of a Square Matrix
  - Singular Matrix
  - Nonsingular Matrix
  - Submatrix
  - Minors and Cofactors
  - Cofactor Matrix and Adjoint Matrix
  - Inverse of a Matrix
- Solution to System of Linear Equations
- Worked Examples
- Exercise
- Answers

Dr S P Rajagopalan was the former Principal and Head, Postgraduate & Research Department of Computer Science and Applications, DG Vaishnav College, Chennai.

Dr R Sattanathan is Reader & Head postgraduate Department of Mathematics, DG Vaishnav College, Chennai.

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Description

Table of contents

Cover
Halftitle Page
Title Page
Copyright Page
Preface
Contents
Chapter 1 Set Theory
- Sets
  - Finite and Infinite Sets
  - Equality of Sets
  - Null Set
  - Subset
  - Proper Subset
  - Universal Set
  - Power Set
  - Disjoint Sets
- Venn Diagram
- Set Operations
  - Union
  - Intersection
  - Difference
  - Complement
  - Symmetric Difference
  - Demorgan Laws
- Functions
  - Equal Functions
  - Range of a Function
  - One-to-One Function
  - Onto Function
  - Identity Function
  - Constant Function
  - Composite Function or Product Function
  - Inverse Function
- Ordered Pairs
  - Product Sets
  - Graph of a Function
  - Propositional Function—Open Sentences
- Relations
  - Solution Sets
  - Inverse Relations
  - Reflexive Relations
  - Symmetric Relations
  - Antisymmetric Relations
  - Transitive Relations
  - Equivalence Relations
  - Index Sets
- Partitions
- Sets of Numbers
  - Natural Numbers (N)
  - Integers (Z)
  - Rational Numbers (Q)
  - Irrational Numbers (Q')
  - Real Numbers (R)
  - Complex Numbers (C)
- Worked Examples
- Exercise
- Answers
Chapter 2 Ratio, Proportion and Variation
- Ratio
- Proportion
- Variation
  - Direct Variation
  - Inverse Variation
  - Joint Variation
- Worked Examples
- Exercise
- Answers
Chapter 3 Permutations and Combinations
- Introduction
- Permutations
- Combinations
- Worked Examples
- Exercise
- Answers
Chapter 4 Binomial Theorem
- Binomial Theorem (Positive Integral Index)
- Worked Examples
- Exercise
- Answers
- Exponential and Logarithmic Series
  - Introduction
- Worked Examples
- Exercise
- Answers
Chapter 5 Differential Calculus
- Definition
  - Rules of Differentiation
- Worked Examples
- Exercise
- Answers
- Higher Order Derivatives
- Worked Examples
- Exercise
- Answers
- Maxima and Minima
  - Working Rule for Finding
- Worked Examples
- Exercises
- Answers
- Points of Inflexion
- Worked Examples
- Exercise
- Answers
Chapter 6 Interest, Annui ties and Discount
- Simple Interest
- Compound Interest
- The amount of an Annuity Left Unpaid
  - Important Formulae
- Freehold Estate and Leasehold Estate
  - Sinking Fund
  - Amortization
  - Discount
- Worked Examples
- Exercise
- Answers
Chapter 7 Plane Analytical Geometry
- Introduction
- Length of a Line Segment
  - Section Formula
- Gradient or Slope of a Line
  - Various Forms of Equation of a Straight Line
- Worked Examples
- Exercise
- Answers
- Circle
  - Equation of a Circle
- Worked Examples
- Exercise
- Answers
- Conics
  - Parabola
- Worked Examples
- Exercise
- Answers
  - Ellipse
- Worked Examples
- Exercise
- Answers
  - Hyperbola
- Worked Examples
- Exercise
- Answers
Chapter 8 Progressions
- Arithmetic Progression (A.P.)
  - Sum to n Terms of an A.P.
- Arithmetic Mean (A.M.)
- Geometric Progression (G.P.)
  - Sum to n Terms of a G.P.
- Geometric Mean (G.M.)
- Harmonic Progression (H.P.)
  - Harmonic Means (H.M.)
- Relation Between G.M., A.M. and H.M.
- Worked Examples
- Exercise
- Answers
Chapter 9 Integral Calculus
- Rules of Integeration
- Some Standard Results
- Worked Examples
- Exercise
- Answers
Chapter 10 Interpolation
- Numerical Methods
  - Interpolation
  - Newton’s Forward Interpolation Formula
- Worked Examples
  - Backward Differences
  - Newton’s Backward Interpolation Formula
- Worked Examples
- Missing Terms (Equal Intervals)
- Worked Examples
- Exercise
- Answers
Chapter 11 Matrices
- Definition
- Various Types of Matrices
  - Square Matrix
  - Diagonal Matrix
  - Scalar Matrix
  - Unit Matrix
  - Null Matrix or Zero
  - RowMatrix
  - ColumnMatrix
  - Transpose of a Matrix
  - Symmetric Matrix
  - Skew Symmetric Matrix
- Algebraic Operations
  - Addition of Matrices
  - Scalar Product
  - Multiplication of Two Matrices
  - Determinant of a Square Matrix
  - Singular Matrix
  - Nonsingular Matrix
  - Submatrix
  - Minors and Cofactors
  - Cofactor Matrix and Adjoint Matrix
  - Inverse of a Matrix
- Solution to System of Linear Equations
- Worked Examples
- Exercise
- Answers

Biographical note

Dr S P Rajagopalan was the former Principal and Head, Postgraduate & Research Department of Computer Science and Applications, DG Vaishnav College, Chennai.

Dr R Sattanathan is Reader & Head postgraduate Department of Mathematics, DG Vaishnav College, Chennai.

User Reviews

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