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Precize CALCULUS & TRIGONOMETRY

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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

Real number system and its properties, l.u.b., g.l.b. of sets of real numbers, limit of a function, Basic properties of limits. Continuous functions and classification of discontinuities. Uniform continuities, differentiation of hyperbolic functions. Successive differentiation. Leibnitz theorem. Taylor’s and Maclaurin’s theorem with various forms of remainders. Indeterminate forms.

De-Moivre’s theorem and its applications, circular and hyperbolic functions and their inverses. The exponential and logarithmic function of complex numbers, Expansion of trigonometric functions, Gregory’s series, Summation of series.

Additional information

Binding

Paperback

Language

English

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