Elementary Analysis through Examples and Exercises:
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Bibliographic Details
Main Author: Schmeelk, John (Author)
Format: Electronic eBook
Language:English
Published: Dordrecht Springer Netherlands 1995
Series:Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series 10
Subjects:
Online Access:Volltext
Item Description:It is hard to imagine that another elementary analysis book would contain material that in some vision could qualify as being new and needed for a discipline already abundantly endowed with literature. However, to understand analysis, beginning with the undergraduate calculus student through the sophisticated mathematically maturing graduate student, the need for examples and exercises seems to be a constant ingredient to foster deeper mathematical understanding. To a talented mathematical student, many elementary concepts seem clear on their first encounter. However, it is the belief of the authors, this understanding can be deepened with a guided set of exercises leading from the so called "elementary" to the somewhat more "advanced" form. Insight is instilled into the material which can be drawn upon and implemented in later development. The first year graduate student attempting to enter into a research environment begins to search for some original unsolved area within the mathematical literature. It is hard for the student to imagine that in many circumstances the advanced mathematical formulations of sophisticated problems require attacks that draw upon, what might be termed elementary techniques. However, if a student has been guided through a serious repertoire of examples and exercises, he/she should certainly see connections whenever they are encountered
Physical Description:1 Online-Ressource (IX, 321 p)
ISBN:9789401585897
9789048145904
ISSN:0927-4529
DOI:10.1007/978-94-015-8589-7

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