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Foundations of Analysis (Pure and Applied Undergraduate Texts: Sally) The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum.Analysis plays a crucial role in the undergraduate c

Foundations of Analysis (Pure and Applied Undergraduate Texts: Sally)


Title:Foundations of Analysis (Pure and Applied Undergraduate Texts: Sally)
Author:Joseph L. Taylor
Rating:4.68 (284 Votes)
Id Book:0821889842
Format Type:Hardcover
Number of Pages:398 Pages
Publish Date:2012-10-04
Type File:PDF, DOC, RTF, ePub


Analysis plays a crucial role in the undergraduate curriculum. Building upon the familiar notions of calculus, analysis introduces the depth and rigor characteristic of higher mathematics courses. Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical. Each section contains a number of examples designed to illustrate the material in the section and to teach students how to approach the exercises for that section. The list of topics cov
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