Introduction to Calculus and Classical Analysis

Intended for an honours calculus course or for an introduction to analysis, this text involves rigorous analysis, computational dexterity, and a breadth of applications. It contains the following features: 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; applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and more. It also contains 344 problems with solutions in the back of the book.