Introduction to calculus and classical analysis
著者
書誌事項
Introduction to calculus and classical analysis
（Undergraduate texts in mathematics）
Springer, c1997
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注記
Includes bibliographical references (p. [307]) and index (p. [309]-313)
内容説明・目次
内容説明
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.
目次
Contents: The Set of Real Numbers.- Continuity.- Differentiation.- Integration.- Applications.
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