This textbook presents all the basics for the first two years of a
course in mathematical analysis, from the natural numbers to
Stokes-Cartan Theorem. The main novelty which distinguishes this
book is the choice of introducing the Kurzweil-Henstock integral
from the very beginning. Although this approach requires a small
additional effort by the student, it will be compensated by a
substantial advantage in the development of the
theory, and later on when learning about more advanced
topics. The text guides the reader with clarity in the discovery of
the many different subjects, providing all necessary tools – no
preliminaries are needed. Both students and their instructors will
benefit from this book and its novel approach, turning their course
in mathematical analysis into a gratifying and successful
experience.
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