Sale!

Precize ANALYSIS (G.N.D.U.)

270.00

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

Definition of a sequence. Theorems on limits of sequences. Bounded and monotonic sequences. Cauchy’s convergence criterion. Series of non-negative terms. Comparison tests. Cauchy’s integral tests. Ratio tests. Cauchy’s root test. Raabe’s test logarithmic test. De’morgan’s and Bertrand’s tests. Kummer’s test, Cauchy Condensation test, Gauss test, alternative series. Leibnitz’s test, absolute and conditional convergence.

Partitions, Upper and lower sums. Upper and lower integrals, Riemann integrability. Conditions of existence of Riemann integrability of continuous functions and of monotone functions. Algebra of integrable functions. Improper integrals and statements of their conditions of existence. Test of the convergence of improper integrals. Beta and Gamma functions.

Additional information

ISBN

9789382295297

Language

English

Binding

Paperback