An Introduction to Analysis: Differential Calculus Part-1 by Ram Krishna Ghosh and Kantish Chandra Maity (NCBA)

Name: An Introduction to Analysis: Differential Calculus Part-1 by Ram Krishna Ghosh and Kantish Chandra Maity (NCBA) - Booksbp.com
SKU: 9788173814372
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SKU: 9788173814372

Core Topics Covered

Real Numbers & Sequences: Foundational concepts of real analysis, bounds, and convergence of sequences.
Limits & Continuity: Definitional limit concepts ( ε – δ approach), properties of continuous functions, and uniform continuity.
Differentiability & Successive Differentiation: Basic derivative mechanisms, higher-order derivatives, and applications of Leibniz’s theorem.
Mean Value Theorems: Detailed treatments of Rolle’s Theorem, Lagrange’s Mean Value Theorem, Cauchy’s Mean Value Theorem, and Taylor’s/Maclaurin’s expansions.
Partial Differentiation: Functions of multiple variables, Euler’s theorem on homogeneous functions, Jacobians, and extrema.
Geometrical Applications: In-depth analytical geometry applied to calculus, encompassing tangents and normals, curvature, asymptotes, envelopes, and singular points.
Maxima and Minima: Optimization techniques for functions of single and multiple independent variables.