Foundations Of Analysis

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Foundations of Analysis

Author: Joseph L. Taylor
language: en
Publisher: American Mathematical Soc.
Release Date: 2012
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. --Book cover.
Foundations of Mathematical Analysis

Author: Richard Johnsonbaugh
language: en
Publisher: Courier Corporation
Release Date: 2012-09-11
Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.
Number Systems and the Foundations of Analysis

Author: Elliott Mendelson
language: en
Publisher: Dover Books on Mathematics
Release Date: 2008
Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.