Advanced Analytical Geometry & Vector Analysis by Dr. B.K. Kar
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Advanced Analytical Geometry & Vector Analysis
Dr. B.K. Kar
First Published: 2008
Reprints: 2
ISBN: 978-81-87134-07-7
Pages: 1010
CONTENTS
PART I: ANALYTICAL GEOMETRY OF 2-DIMENSIONS
- A Historical Note and Basic Concepts
- Transformation of Axes
- Pair of Straight Lines
- The Circle
- Conics in General, Associated Points, Lines and Conics–Canonical Forms
- Loci in Polar Coordinates
PART II: ANALYTICAL GEOMETRY OF 3-DIMENSIONS
- Basic Concepts, Orthogonal Projection, Rectangular Cartesian Frame, Coordinates
- Locus, Surfaces, Planes, and Straight Lines
- Transformation of Axes
- Sphere
- Quadrics in Standard Forms
- Tangents and Normals
- Cone, Cylinder, and Surface of Revolution
- Ruled Surface
- General Second Degree Equation Reduction to Canonical Form
- Plane Sections of Conicoids
- Cylindrical and Spherical Polar Coordinates
PART III: VECTOR ALGEBRA AND VECTOR ANALYSIS
- Addition and Scalar Multiplication of Vectors
- Product of Vectors
- Applications of Vector Algebra
- Differential Calculus of Vector
- Integral Calculus of Vector
ABOUT THE BOOK: This book is meant for Mathematics (Hons./Major) students of different Indian Universities and covers the undergraduate CBCS Syllabus for Mathematics.
ABOUT THE AUTHOR: Dr. B.K. Kar, M.Sc. (Medalist) (Pure Maths, C.U.), Ph.D. (App. Maths. ISMU), Formerly, Indian School of Mines University, Dhanbad, Ramkrishna Mission Residential College, Narendrapur, Scottish Church College, Kolkata.
