Business Mathematics
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.
| Autor principal: | |
|---|---|
| Autor Corporativo: | |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Noida :
Pearson India
2015.
|
| Edición: | 1st ed |
| Colección: | Always learning.
|
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009820525606719 |
Tabla de Contenidos:
- Cover
- Copyright
- Brief Contents
- Contents
- Foreword
- Preface
- Acknowledgement
- About the Author
- Chapter 1: Introduction to Business Mathematics
- 1.1 Introduction to Business Mathematics
- 1.2 Scope and Importance
- 1.2.1 Steps in Quantitative Analysis Approach
- 1.3 Number System
- 1.3.1 Natural Numbers
- 1.3.2 Whole Numbers
- 1.4 Positive and Negative Integers
- 1.4.1 Positive Integers
- 1.4.2 Negative Integers
- 1.5 Fractions
- 1.5.1 Proper Fraction
- 1.5.2 Improper Fraction
- 1.6 Rational and Irrational Numbers
- 1.6.1 Rational Numbers
- 1.6.2 Irrational Numbers
- 1.7 Real Numbers
- 1.8 Sum of First n Natural Numbers
- 1.9 Sum of Square and Sum of Cube of First n Natural Numbers
- Chapter 2: Algebra
- 2.1 Algebra
- 2.2 Algebraic Identities
- 2.3 Simple Factorizations
- 2.4 Equations
- 2.5 Linear and Quadratic Equations
- 2.5.1 Linear Equations
- 2.5.2 Simultaneous Linear Equations
- 2.5.3 Quadratic Equation
- 2.6 Indices and Surds
- 2.6.1 Indices
- 2.6.2 Surds
- 2.7 Logarithms and Their Properties
- 2.7.1 Definition
- 2.7.2 Properties
- 2.7.3 Common Logarithms
- 2.8 Problems Based on Logarithms
- 2.9 Inequality in Graphs
- 2.10 Remainder Theorem and Factor Theorem
- 2.10.1 Remainder Theorem
- 2.10.2 Factor Theorem
- Exercise
- Chapter 3: Theory of Sets and Its Business Applications
- 3.1 Set Theory
- 3.2 Representation of Sets
- 3.2.1 Tabulation Method
- 3.2.2 Set Builder Form
- 3.2.3 Cardinal Number
- 3.2.4 Element of a Set
- 3.2.5 Order of a Set
- 3.2.6 Finite Set
- 3.2.7 Infinite Set
- 3.2.8 Singleton Set
- 3.3 Union of Sets
- 3.4 Intersection of Two Sets
- 3.5 Complement of a Set
- 3.6 Subset
- 3.6.1 Identical/Equal Set
- 3.6.2 Equivalent Set
- 3.6.3 Disjoint Set
- 3.6.4 Universal Set
- 3.7 Null Set/Empty Set/Void Set
- 3.8 Difference of a Set.
- 3.9 De Morgan's Law
- 3.10 Universal Set
- 3.11 Basic Operations on Set
- 3.11.1 Union of Sets
- 3.11.2 Intersection of Two Sets
- 3.11.3 Difference of a Set
- 3.11.4 Complement of a Set
- 3.12 Cartesian Products
- 3.13 Laws of Set Algebra
- 3.14 Cardinal Numbers
- 3.15 Venn Diagram
- 3.16 Business Applications
- Exercise
- Chapter 4: Ratio
- 4.1 Ratio
- 4.2 Proportion
- 4.3 Types of Proportion
- 4.3.1 Direct Proportion
- 4.3.2 Inverse Proportion
- 4.3.3 Indirect Proportion
- 4.4 Ratio, Proportion and its Type of Comparison
- 4.4.1 Addition and Subtraction of Ratios
- 4.5 Variations
- 4.5.1 Direct Variation
- 4.5.2 Inverse Variation
- 4.5.3 Joint Variation
- 4.6 Percentage
- 4.6.1 Uses of Percentages
- 4.6.2 Converting Fractions into Percentage
- 4.6.3 Problem Based on Quantity Application
- 4.6.4 Problem Based on Election Application
- 4.6.5 Problem Based on Examination Application
- 4.6.6 Price Mixture
- 4.6.7 Decimal Fraction
- 4.7 Annexing Zeros and Removing Decimal Signs
- 4.7.1 Annexing Zeros
- 4.8 Average (Arithmetic Mean)
- 4.8.1 Discrete Data
- 4.8.2 Discrete Data with Frequency
- 4.9 Computation of Mean for Grouped Series
- 4.10 Mean of Composite Group
- Exercises
- Chapter 5: Functions and Graphs
- 5.1 Introduction
- 5.2 Function
- 5.2.1 Constant
- 5.2.2 Variable
- 5.3 Domain and Range of a Function
- 5.4 Continuous and Discrete Functions
- 5.4.1 Continuous Function
- 5.4.2 Discrete Function
- 5.5 Composition and Inverse Functions
- 5.5.1 Composition Functions
- 5.5.2 Order of Composition
- 5.5.3 Decomposition of a Function
- 5.5.4 Inverse Function
- 5.6 Classification of Functions
- 5.7 Exponential and Logarithmic Functions
- 5.7.1 Exponential Functions
- 5.7.2 Logarithmic Functions
- 5.8 Graphs
- 5.8.1 The General Idea of Curve Sketching and Graphs of Straight Lines.
- 5.9 Modulus Function
- Exercise
- Chapter 6: Quadratic Functions and Theory of Quadratic Equations
- 6.1 Quadratic Functions
- 6.1.1 Quadratic Modeling
- 6.2 Evaluating the Solutions of the Quadratic Equation ax2 + bx + c = 0
- 6.3 Nature of the Roots of Quadratic Equation
- 6.4 Sum and Product of the Roots
- 6.5 Relations Between the Roots
- 6.6 Condition for the Existence of a Common Root
- 6.7 To form the Equation Whose Roots are r1 and r2
- 6.8 Graph of the Function f(x) = ax2 + bx + c
- a ≠ 0
- 6.9 Sign of the Expression f(x) = ax2 + bx + c
- 6.10 Maximum/Minimum Values of a Quadratic Function
- 6.11 Solution of Quadratic Inequalities
- 6.12 Additional Problems
- Exercise
- Chapter 7: Permutation and Combination
- 7.1 Fundamental Counting Principle
- 7.2 Factorial
- 7.3 Permutation
- 7.3.1 Permutation of n Different Things
- 7.3.2 Permutation of n Things not all Different (Taken all Together)
- 7.4 Restricted Permutation
- 7.5 Circular Permutations
- 7.6 Combination
- 7.6.1 To Find the Number of Ways of Selecting r Things Out of n Things
- 7.6.2 Complementary Combination
- 7.6.3 Different Formulas on Combination
- 7.7 Restricted Combinations
- 7.8 Division into Groups
- 7.9 Mixed Problems on Permutation and Combination
- Exercise
- Chapter 8: Mathematical Induction and Binomial Theorem
- 8.1 Principle of Mathematical Induction
- 8.2 Binomial Theorem for a Positive Integral Index
- 8.3 Properties of the Binomial Coefficients
- 8.4 General Term in Binomial Expansion
- 8.5 Middle Term in the Binomial Expansion
- 8.6 Greatest Term in the Binomial Expansion
- 8.7 Binomial Theorem for Any Index
- 8.7.1 Binomial Theorem for a Rational Index
- Exercise
- Chapter 9: Sequence and Series-Its Application to Business
- 9.1 General Idea and Different Types of Sequences
- 9.2 Different Types of Sequence.
- 9.2.1 Finite Sequence
- 9.2.2 Infinite Sequence
- 9.2.3 Fibonacci Sequence
- 9.3 Kinds of sequence
- 9.3.1 Arithmetic Sequence
- 9.3.2 Geometric Sequence
- 9.4 Arithmetic and Geometric Means
- 9.5 Arithmetic Progression (AP)
- 9.6 Geometric Progression (GP)
- 9.6.1 Sum to Infinity of a Geometric Series
- 9.6.2 Recurring Decimals as Geometric Progression
- 9.7 Harmonic Progression (HP)
- 9.7.1 Harmonic Mean
- 9.7.2 Special Case
- 9.7.3 Method of Differences
- Exercise
- Chapter 10: Compound Interest and Annuities
- 10.1 Interest
- 10.1.1 Simple Interest
- 10.1.2 Compound Interest/Continuous Compounding
- 10.2 Present Value and Amount of a Sum
- 10.3 Annuity and Its Types
- 10.4 Present Value of an Annuity (PVA)
- 10.5 Debenture
- Exercise
- Chapter 11: Coordinate Geometry
- 11.1 Fundamentals
- 11.2 Rectangular Cartesian Coordinates/Cartesian Coordinates System
- 11.3 Polar Coordinates
- 11.4 Distance Formula
- 11.5 Section Formula
- 11.5.1 To Find the Mid-point of the Line Joining (x1, y1) and (x2, y2)
- 11.6 Centroid of a Triangle
- 11.7 Area of a Triangle
- Exercise
- Chapter 12: Locus and Equation to a Locus
- 12.1 Locus
- 12.2 Equation to a Locus
- Exercise
- Chapter 13: Straight Line
- 13.1 Introduction
- 13.2 Definitions of the Terms
- 13.2.1 To Find the Equation of a Line Parallel to the x-axis
- 13.3 Different Forms of the Equation of a Straight Line
- 13.3.1 Gradient/Slope-intercept Form
- 13.3.2 Point Slope Form
- 13.3.3 Intercept Form of the Equation of a Straight Line
- 13.3.4 Normal Form of the Equation of a Straight Line
- 13.3.5 Distance Form of the Equation of a Straight Line
- 13.3.6 General Form ax + by + c = 0
- 13.4 Distance of a Point from a Straight Line
- 13.4.1 To Find the Length of the Perpendicular from the Origin on the Line ax + by + c = 0.
- 13.5 Angle Between Two Lines and Condition of Parallelism and Perpendicularity of Lines
- 13.5.1 Angle Between Two Lines
- 13.5.2 Condition for Parallelism of Two Lines
- 13.5.3 Condition for Perpendicularity of Two Lines
- 13.5.4 Equations of Straight Lines Parallel or Perpendicular to the Given Line
- 13.6 Point of Intersection of Two Lines
- 13.6.1 General Form of the Equation of a line
- 13.7 Condition for Concurrency of Three Given Straight Lines
- 13.8 Position of a Point with Respect to a Given Line
- Exercise
- Chapter 14: Circle
- 14.1 Introduction
- 14.2 Standard Form/General Form/Center Radius Form of the Equation of a Circle
- 14.3 Finding the Centre and Radius of a Circle
- 14.4 Position of a Point with Respect to a Given Circle
- 14.5 Condition for a Line to be a Tangent
- 14.5.1 Condition for a Line to Touch the Circle with Centre O(0, 0)
- 14.5.2 Condition for a Line to Be Tangent to the Circle with Centre C(g, f)
- 14.6 Diameter Form of the Equation of a Circle
- 14.7 Tangents
- 14.7.1 Equations of Tangents to the Circle of the Form x2 + y2 = a2
- 14.7.2 Equations of Tangents to the Circle of the Form x2 + 2gx + y2 + 2fy + c = 0
- 14.8 Points of Intersection of a Circle and a Straight Line
- 14.9 To Find the Length of the Tangent from P(x1, y1) to the Circle
- 14.10 Condition for Two Circles to Touch Each Other
- 14.11 Normal
- 14.12 Equations of the Circles in Some Special Cases
- 14.12.1 The Equation of a Circle of Radius r, Passing Through the Origin and Having Its Center on the (i) x-axis and (ii) y-axis
- 14.12.2 Equation of a Circle of Radius r and Touching Both the Axes
- 14.12.3 Equation of a Circle on the Join of A (x1, y1) and B (x2, y2) as a Diameter
- 14.12.4 Equation of a Circle Passing Through the Origin and Making Intercepts a and b on the Axis
- 14.13 Angle of Intersection of Two Circles.
- 14.13.1 Orthogonal Circles.
