A Course of Calculus by A. N. Das (published by NCBA),

Name: A Course of Calculus by A. N. Das (published by NCBA), - Booksbp.com
SKU: 9788173817601
Price: 160.00 INR
Availability: InStock

Original price was: ₹195.00.Current price is: ₹160.00.

SKU: 9788173817601

Key Core Topics Covered:-

The curriculum balances deep foundational concepts with practical mathematical problem-solving across two primary areas of calculus:

Real Number System & Functions: Foundations of the continuum, sets, intervals, bounds, and definitions of a function.
Limits & Continuity: Evaluation of standard limits, continuity proofs, and classifying different types of mathematical discontinuities.
Differential Calculus: Formal definitions of the derivative, geometric meanings, explicit differentiation techniques, and successive high-order derivatives (including Leibniz’s theorem).
Mean Value Theorems: Comprehensive applications of Rolle’s, Lagrange’s, and Cauchy’s mean value theorems.
Infinite Series Expansion: Infinite series behavior, Taylor’s series, and Maclaurin’s expansions for transcendental functions.
Applications of Derivatives: Finding maxima and minima points, establishing rectilinear asymptotes, identifying points of inflection, and computing curvature.
Multivariable Calculus Foundations: Functions of multiple variables, limits, partial differentiation, and applications of Euler’s theorem on homogeneous equations.
Integral Calculus: Methods of evaluation for standard indefinite and definite integrals, reduction formulas, and integration applications.