Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications. The book contains many remarkable * complete avoidance of /epsilon-/delta arguments by using sequences instead * definition of the integral as the area under the graph, while area is defined for every subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book.
Sequence of Events The sequence of events in the book follows a traditional chronological order. This linearity makes it easy to track the progress of the narrative and the changes that occur. The connections between different events are explained clearly and logically. Click here to view a timeline of the major events. >>> https://script.google.com/macros/s/AK...