Analytical Geometry

350

Authors: Arumugam S, Thangapandi Isaac A, Somasundaram A

ISBN: 9789388005173

Copy Right Year: 2020

Pages:  552

Binding: Soft Cover

Publisher:  Yes Dee Publishing

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Description

This is a textbook designed to meet the requirements of undergraduate students in Mathematics. It can be covered in two semesters. The content has been tested in the classroom by several professors over the past four decades and the book has been well received by the student community.

Additional information

Weight 0.5 kg
Dimensions 22 × 15 × 3 cm

Table of Content

Chapter 1 STRAIGHT LINES

1.1 Introduction

1.2 Coordinate System
1.3 Slope of a Line
1.4 Equation of a Line: Different Forms

Chapter 2 PAIR OF STRAIGHT LINES
2.1 Introduction
2.2 Pair of Straight Lines
Chapter 3 CIRCLE
3.1 Circle
3.1.1 Centre-radius Form
3.1.2 General Form of a Circle
3.1.3 Diameter Form of a Circle
3.1.4 More about Circles
Chapter 4 SYSTEM OF CIRCLES
4.1 Radical Axis
4.1.1 Coaxal Circles
Chapter 5 CONICS
5.1 Introduction
5.2 Conics: Standard Forms
5.3 Conics: Tangents and Normals
5.4 Conics:
5.5 Pair of Tangents and Chord in Terms of Mid Points
5.6 Conics: Parametric Coordinates
Chapter 6 MORE ABOUT CONICS
6.1 Diameters
6.2 Asymptotes of a Hyperbola
6.3 The Conjugate Hyperbola
6.4 Rectangular Hyperbola
6.5 Parametric Coordinates
Chapter 7 POLAR EQUATIONS
7.1 Introduction
7.2 Polar Coordinates
7.3 Equation of a Straight Line
7.4 Equation of Circle in Polar Form
7.5 Polar Equation of a Conic
Chapter 8 TRACING OF CONICS
8.1 Introduction
8.2 Transformation of Coordinates
8.3 Tracing of Central Conics (Ellipse and Hyperbola)
8.4 Tracing of Parabola
8.5 Tracing of Conics
Chapter 9 COORDINATE  SYSTEM
9.1 Introduction
9.2 Rectangular Cartesian Coordinates
9.3 Distance between Two Points
9.4 Direction Cosines
Chapter 10 PLANES
10.1 Equation of a Plane
10.2 Angle between Two Planes
10.3 Angle Bisectors of Two Planes
Chapter 11 STRAIGHT LINES IN SPACE
11.1 Equation of a Straight Line
11.2 A Plane and a Line
11.3 Equations of Two Skew Lines in a Simple Form
11.4 The Intersection of Three Planes
11.5 Volume of a Tetrahedron
Chapter 12 THE SPHERE
12.1 Introduction
12.2 Equation of a Sphere
12.2.1 Centre Radius Form
12.2.2 General Form of a Sphere
12.2.3 Diameter Form
12.3 Tangent Line and Tangent Plane
12.4 Section of a Sphere
Chapter 13 CONE AND CYLINDER
13.1 Cone
13.2 Cylinder
Chapter 14 GEOGEBRA A DYNAMIC MATHEMATICS
                       SOFTWARE

 

About The Authors

Dr. S. Arumugam is currently senior professor (research) and director, National Centre for Advanced research in Mathematics (n-CARDMATH), Kalasalingam Academy of Research and Education, Krishnankoil, India. He has completed 50 years of academic life and has authored 30 books including two textbooks in Tamil. He has organized 27 conferences and workshops and has edited 12 proceedings. He has guided 44 Ph.D candidates and has published around 250 papers in national and international journals. His areas of research interest are graph theory and applications, biological networks, social networks, visual cryptography and topological projective planes. He has served as visiting/adjunct/conjoint professor in several universities in Australia, UK and USA. He has visited more than 20 countries for delivering invited talks in conferences. He is the founder editor-in-chief of AKCE International Journal of Graphs and Combinatorics.

Mr. A. Thangapandi Isaac, who got retired as head of the department of Mathematics, St. John’s College, Palayamkottai has 30 years of experience in teaching. He is also a coauthor of around 20 books along with Professor S. Arumugam.

Dr. A. Somasundaram is presently working as an associate professor at Birla Institute of Technology and Science Pilani – Dubai campus. He is having 22 years of experience in teaching and research in Mathematics. His research areas include fuzzy graphs, domination in graphs and network science. He has to his credit several publications in standard international journals. He is also a coauthor of five textbooks.

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