Methods of Real Analysis

Product Description

Methods of Real Analysis "After a typical calculus course in one real variable, you will find in this book an optimal, rigourous and clear introduction to real analysis. That means a closer inspection and generalization of old concepts (limit, convergence, continuiity, differentiaility, integrability... ) as well as encountering new mathematical objects and wider horizons in the same classic context). The work starts with sequences and series of real numbers. Then it says what a metric spaces M is and defines compactness, connectedness and completeness. as well as what means for a function to be continous at a given point of its domain. Later it reviews the Riemann integral and the basic pr…