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ANALYTICAL GEOMETRY of Two & Three Dimensions (Advanced Level)
Dr. Arup Mukherjee & Dr. Naba Kumar Bej
First Published: 2010
Third Edition: 2019
Reprints: 5
ISBN: 978-81-941732-2-9
Pages: 966
CONTENTS
Part I : Analytial Geometry of 2-Dimensions
- Preliminary Discussions
- Transformation of Rectangular Axes
- Pair of Straight Lines
- General Equation of Second Degree
- Polar Equations
Part II : Analytical Geometry of 3-Dimensions
- Preliminary Discussions
- Plane
- Straight Line
- Change of Axes: Invariants
- Sphere, Cone, Cylinder, and Conicoids
- Tangent, Normal Enveloping Cone, Enveloping Cylinder, Pole and Polar
- Generating Lines
- Plane Section of Conicoids
- Reduction of General Equation of Second Degree
- Cylindri and Spherical (Polar) Coordinate Systems
- Appendix
ABOUT THE BOOK: This book is divided into two parts — Part I and Part II. In Part I, Two-dimensional geometry has been discussed. In the introductory chapter, it is has been tried to given the full preliminary knowledge of the subject and in the consequent chapters, advanced level discussions on this subject have been made. More than Two hundred and Fifty problems has been added as solved examples. In Part II, Three-dimensional Geometry has been discussed. In the preliminary chapter, it
has been tried to given a thorough systematic discussion on the subject. In the consequent chapters, this subject has been discussed in preliminary as well as advanced level. More than Three Hundred and Fifty solved problems have been added in a different chapter.
ABOUT THE AUTHOR:
Dr. Arup Mukherjee, M.Sc., D.Phil, (Retired) Associate Professor and Head Department of Mathematics Vivekananda Mahavidhyalaya, Burdwan, Formerly Lecturer, R.K. Mission Vivekananda Centenary College, Rahara, 24-Parganas (North), Guest Lecturer, I.S.F., Burdwan University, Formerly Lecturer of North Bengal University.
Dr. Naba Kumar Bej, M.Sc, Ph.D., Associate Professor of Mathematics, Dr. Bhupendranath Dutta Smriti Mahavidyalaya, Hatgobindapur, Burdwan, Formerly Senior Lecturer and Head, Rabindra Satabarsiki Mahavidyalaya, Ghatal, Paschim Medinipur
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