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Precize ANALYSIS I (P.U.)

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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

Countable and uncountable sets.
Riemann integral. Integrability of continuous and monotonic functions. Properties of integrable functions. The fundamental theorem of integral calculus. Mean value theorems of integral calculus. Beta and Gamma functions.
Improper integrals and their convergence, Comparison tests, Absolute and conditional convergence, Abel’s and Dirichlet’s tests. Frullani’s integral.
Integral as a function of a parameter. Continuity, derivability and integrability of an integral of a function of a parameter.

Additional information

ISBN

9789382295038

Language

English

Binding

Paperback

Year of Publication

2019

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