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Includes interesting applications, many of which are not usually found in advanced calculus books
Class tested and contains a wide variety of challenging exercises
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. This second edition includes corrections as well as some additional material.
Some features of the text:
The text is completely self-contained and starts with the real number axioms
the integral is defined as the area under the graph, while the area is defined for every subset of the plane
there is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero
there are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more
traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals
there are 366 problems.ISBN
9788132204824
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Pages : 352
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