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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Introduction to Calculus and Classical Analysis (Paperback, Softcover reprint of hardcover 3rd ed. 2011)
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Introduction to Calculus and Classical Analysis (Paperback, Softcover reprint of hardcover 3rd ed. 2011)
Series: Undergraduate Texts in Mathematics
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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 third edition includes corrections
as well as some additional material. Some features of the text
include: 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; and There are 385 problems with all the solutions
at the back of the text.
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