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Precize CALCULUS – I (Pbi.U.)

292.00

The entire subject matter in the book 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. Well-planned and exhaustive exercises have been given in each chapter.

Description

Properties of Real Numbers : Order properties of real numbers, bounds, l.u.b. and g.l.b., order completeness property of real numbers, Archimedean property of real numbers.

Limits: epsilon delta definition of the limit of a function, basic properties of limits, infinite limits, indeterminate forms.

Continuity : Continuous functions, types of discontinuities, continuity of composite functions, continuity of, sign of a function in a neighborhood of a point of continuity, intermediate value theorem, maximum and minimum value theorem.

Mean value theorems: Rolle’s Theorem, Lagrange’s mean value theorem, Cauchy’s mean value theorem, their geometric interpretation and applications, Taylor’s theorem, Maclaurin’s theorem with various forms of remainders and their applications.

Hyperbolic, inverse hyperbolic functions of a real variable and their derivatives, successive differentiations, Leibnitz’s theorem.

Applications of Derivatives : Tangents and normals, Differentials and Approximations, Errors.

Additional information

ISBN

9789382295266

Binding

Paperback

Language

English