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文件名:  Introduction to Calculus and Classical Analysis.pdf
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图书名称:
Introduction to Calculus and Classical Analysis,4e
作者:Jason Bock

出版社:Springer

页数:427
出版时间:2016

语言:English

格式:pdf
内容简介:
This text is intended for an honors calculus course or for an introduction toanalysis. Involving rigorous analysis, computational dexterity, and a breadth ofapplications, it is ideal for undergraduate majors. This third edition includescorrections as well as some additional material.
Some features of the text include: The text is completely self-contained and starts with the real numberaxioms; The integral is defined as the area under the graph, while the area isdefined for every subset of the plane; There is a heavy emphasis on computational problems, from the high-schoolquadratic formula to the formula for the derivative of the zeta function atzero; There are applications from many parts of analysis, e.g., convexity, theCantor 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 infiniteproducts, the Bernoulli series, and the zeta functional equation, is developedover the reals; and There are 385 problems with all the solutions at the back of the text.

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