Books like Vorlesungen über Differential- und Integralrechnung by Richard Courant

A comprehensive bridge from elementary calculus to advanced real and complex function theory, this textbook introduces the abstract reasoning characteristic of modern mathematical analysis.

A thorough introduction to real analysis, covering limits, series, differentiation, and integration on the real line and in Euclidean spaces.

A Beginners choice for learning Real Analysis.

This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and graduate students whose studies include mathematical analysis or mathematical physics will strongly benefit from this material. Mathematicians involved in research and teaching in areas related to calculus, advanced calculus and real analysis will find it invaluable.The volume contains numerous solved examples and problems for the reader. These examples can be used in classwork or for home assignments, as well as a supplement to student projects and student research.