Elementary Analysis through Examples and Exercises

John Schmeelk, Djurdjica Takaci, Arpad Takaci (Autoren)

Buch | Softcover

321 Seiten

2010 | 1st ed. Softcover of orig. ed. 1995
Springer (Verlag)
9789048145904 (ISBN)

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It is hard to imagine that another elementary analysis book would contain ma terial that in some vision could qualify as being new and needed for a discipline already abundantly endowed with literature. However, to understand analysis, be ginning with the undergraduate calculus student through the sophisticated math ematically 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.

1 Real numbers.- 2 Functions.- 3 Sequences.- 4 Limits of functions.- 5 Continuity.- 6 Derivatives.- 7 Graphs of functions.

Erscheint lt. Verlag	7.12.2010
Reihe/Serie	Texts in the Mathematical Sciences ; 10
Zusatzinfo	1 Illustrations, black and white; IX, 321 p. 1 illus.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-13	9789048145904 / 9789048145904
Zustand	Neuware