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3-D Analytical Geometry and Probability  
Published by Vijay Nicole Imprints Private Limited
Publication Date:  Available in all formats
ISBN: 9789394681583

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ISBN: 9788182090897 Price: INR 180.00
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Table of contents

Biographical note

This book offers a graduate level exposition of selected topics in 3-D Analytical Geometry and Probability. It is designed to cover the requirements of the new syllabi for second year B.Sc. Mathematics students of all universities in Tamil Nadu. Even a beginner who likes to get an expertise in Solid Geometry and Probability Theory can find this book very useful and enriching.

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Description

This book offers a graduate level exposition of selected topics in 3-D Analytical Geometry and Probability. It is designed to cover the requirements of the new syllabi for second year B.Sc. Mathematics students of all universities in Tamil Nadu. Even a beginner who likes to get an expertise in Solid Geometry and Probability Theory can find this book very useful and enriching.

Table of contents
  • Cover
  • Title Page
  • Copyright Page
  • Preface
  • Contents
  • Part I 3-D Analytical Geometry
    • Chapter 1 Introduction
      • Introduction
      • Coordinate Axes and Coordinate Planes
        • Coordinates of a Point
        • Distance Between Two Points
        • Definition—Tetrahedron
      • Angle Between Two Lines
        • Direction Angles and Direction Cosines of a Line
        • Definition—Direction Cosines
        • Direction Cosines of Coordinate Axes
        • Relation Between Direction Cosines of a Straight Line
        • Direction Ratios
        • Direction Ratios of the Line Joining Two Points
        • Angle Between Two Lines
        • Condition for Parallelism and Perpendicularity of Two Lines
    • Chapter 2 The Plane
      • Plane
        • Definition
        • General Form of the Equation of a Plane
        • Intercept Form
        • Normal Form
        • Angle Between Two Planes
        • Equation of a Plane Passing through the Line of Intersection of Two Given Planes
    • Chapter 3 The Straight Lines
      • General Form of Equation of a Line
      • Symmetrical Form of the Equations of a Line
      • Transformation of General Form into Symmetrical Form
      • The Plane and the Straight Line
        • Angle Between a Line and a Plane
        • A Line of Greatest Slope in a Plane
      • Coplanar Lines
        • First Method
        • Second Method
      • Lines Intersecting Two Given Lines
      • Skew Lines
        • Definition—Skew Lines
      • Shortest Distance Between the Lines
        • Definition
    • Chapter 4 The Sphere
      • Definition
      • Equation of a Sphere whose Centre and Radius are Given
      • General Form of Equation of a Sphere
      • Plane Section of a Sphere
      • Equation of a Circle
      • Equation of a Sphere Passing through a Given Circle
        • The Intersection of Two Spheres
      • Tangent and Tangent Plane
        • Equation of the Tangent Plane to a Sphere
        • Length of the Tangent from an External Point to a Sphere
      • Orthogonal Spheres
        • Condition for the Two Spheres to Cut Orthogonally
  • Part II Probability
    • Chapter 5 Introduction
      • Historically
      • Basic Terms
      • Measurement of Probability
        • Classical Approach
        • Axiomatic Approach to Probability
      • Probability Function
        • Set Theoretic Notations
      • Addition Theorem of Probability
        • Boole’s Inequality
      • Conditional Probability
        • Some Results on Independent Events
      • Multiplication Theorem on Probability
        • Multiplication Theorem of Probability for Independent Events
        • Some Theorems on Conditional Probability
        • Baye’s Theorem
    • Chapter 6 Random Variables
      • Introduction
      • Random Variable (R.V.)
        • Distribution Function
        • Discrete Random Variables
        • Continuous Random Variables
        • Two-dimensional Random Variables
        • Independent Random Variables
    • Chapter 7 Mathematical Expectation
      • Definition
      • Properties of Expectation
        • Addition Theorem of Expectation
        • Multiplication Theorem of Expectation
      • Moment, Mean and Standard Deviation
    • Chapter 8 Moment and Probability Generating Functions
      • Moment Generating Functions
        • Definition
        • Deficiencies of Moment Generating Functions
        • Properties of Moment Generating Function
        • Standard Variate
        • Chebychev’s Inequality
      • Probability Generating Function
        • Definition
        • Probability Generating Function for Two Variables X1 and X2
        • Simple Results on Probability Generating Function
        • Probability Generating Function for Different Distributions
Biographical note

Dr S Santha is currently Lecturer, Department of Mathematics, Sri Meenakshi Government College for Women, Madurai.Prior to this,she was the Head,Department of Mathematics , Noorul Islam College of Engineering , Kanyakumari . She has over 21 years of experience in teaching Mathematics.

T Pathinathan is Senior Scale Lecturer, Department of Mathematics, Loyola College, Chennai. He has 16 years of experience in teaching mathematics at various levels.

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