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

Description

Table of contents

Biographical note

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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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Rating