Differential Calculus
Description
This book has been designed to meet the requirements of undergraduate students of BA and BSc courses. it commences with a brief outline of development of real numbers, their expression as infinte decimals and their representation by points along a line. While the first part of the book is analytical, the latter part deals with the geometrical applications of the subject. Numerous examples and exercises have been provided to support student's understanding.
1. Analytical geometrical interpretation of results has been provided
2. Principles and methods profusely illustrated with the help of numerous solved examples
3. A Chapter on Some Important Curves which acquaints the students with different kinds of curves helping them understand their properties
Chapter-1: Real Numbers
Chapter-2: Functions and Graphs – Elementary Functions
Chapter-3: Continuity and Limit
Chapter-4: Differentiation
Chapter-5: Successive Differentiation
Chapter-6: Expansion of Functions
Chapter-7: Tangents and Normals
Chapter-8: Mean Value Theorems
Chapter-9: Maxima and Minima
Chapter-10: Indeterminate Forms
Chapter-11: Partial Differentiation
Chapter-12: Jacobians
Chapter-13: Concavity and Points of Inflexion
Chapter-14: Curvature and Evolutes
Chapter-15: Asymptoes
Chapter-16: Singular Points
Chapter-17: Curve Tracing
Chapter-18: Envelopes
Chapter-19: Change of Independent Variables
Chapter-2: Functions and Graphs – Elementary Functions
Chapter-3: Continuity and Limit
Chapter-4: Differentiation
Chapter-5: Successive Differentiation
Chapter-6: Expansion of Functions
Chapter-7: Tangents and Normals
Chapter-8: Mean Value Theorems
Chapter-9: Maxima and Minima
Chapter-10: Indeterminate Forms
Chapter-11: Partial Differentiation
Chapter-12: Jacobians
Chapter-13: Concavity and Points of Inflexion
Chapter-14: Curvature and Evolutes
Chapter-15: Asymptoes
Chapter-16: Singular Points
Chapter-17: Curve Tracing
Chapter-18: Envelopes
Chapter-19: Change of Independent Variables
