Introduction to Calculus and Classical Analysis

This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors.
The book contains many remarkable features:
- complete avoidance of /epsilon-/delta arguments by instead using sequences,
- 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,
- interesting applications, many of which are not usually found in advanced calculus. This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. The book contains many remarkable features: - complete avoidance of /epsilon-/delta arguments by instead using sequences, - 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, - interesting applications, many of which are not usually found in advanced calculus books
About the first edition:
"The treatment, however, is far from standard, and many topics are included, especially in the last chapter, that are not available in other modern elementary texts This is a rigorous book with good motivational material and explanatory remarks. It includes 347 problems, with solutions given in a 73-page