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Rapidsol CALCULUS (Pbi.U.)

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The present book provides a comprehensive treatment of the concepts and topics by giving a vast variety of examples fully solved. The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for a better understanding of the subject.

Description

Successive differentiation, Asymptotes, Multiple points, Tests for concavity and convexity, Points of inflexion, Tracing of curves in Cartesian, parametric and polar forms. Curvature, Radius of Curvature, Centre of Curvature.

       Integration of hyperbolic and inverse hyperbolic functions, Reduction Formulae, Application of definite integral to find quadrature, Length of an arc, Improper integrals and their convergence, Comparison tests, Absolute and conditional convergence, Abel’s and Dirichlet’s tests. Frullani integral. Integral as a function of a parameter. Beta-Gamma Functions and their convergence.

Additional information

Binding

Paperback

Language

English

Edition

2

Publication Year

2016

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