A Course in Real Analysis

Product Description

Now in its second editon A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus. It proceeds gradually from an axiomatic characterization of the real number system to the study of differentiation and integration on m-dimensional surfaces. Proofs of theorems are given in detail and many examples are provided to illustrate the concepts expressed in the theorems. The book consists of three parts. Part I treats the calculus of functions of one variable. Traditional topics such as sequences continuity differentiability Riemann integrability numerical series and the convergence of sequences and series of functions are covered. Optional sec…