1549901369-Elements_of_Real_Analysis__Denlinger_

ELEMENTS OF ...

The Jones and Bartlett Publishers Series in Mathematics Geometry Geometry with an Introduction to Cosmic Topology Hitchman (978- ...

The Way of Analysis, Revised Edition Strichartz (978-0- 7637 - 1497-0) © 2000 Topology Foundations of Topology, Second Edition P ...

The Jones and Bartlett Publish ers International Series in Mathematics Mathematical Modeling with Excel Albright (978-0- 763 7- ...

ELEMENTS OF CHARLES G. DENLINGER Millersville University JONES AND BARTLETT PUBLISHERS Sudbury, Massachusetts BOSTON TORONTO LON ...

World Headquarters Jones and Bartlett Publishers 40 Tall Pine Drive Sudbury, MA 978-443- [email protected] http://www.jbpub.com Jon ...

Dedicated to Nick and Josh, and the memory of Tyler. ...

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Contents Preface To the Student To the Instructor 1 2 3 The Real Number System 1.1 The Field Properties 1.2 The Order Properties ...

x Contents 4 5 6 7 8 3.4 *The Cantor Set. Limits of Functions 4.1 Definition of Limit for Functions. 4.2 Algebra of Limits of Fu ...

Contents xi 9 8. 8. 8. 8. Series of Products. Power Series.... Analytic Functions *Elementary Transcendental Functions (Project) ...

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Preface Elementary real analysis has earned its place as a core subject in the undergrad- uate mathematics curriculum. It deserv ...

xiv Preface tends toward this style. Many of my students find such textbooks indigestible, despite t heir excellence, so I decid ...

Preface xv Efficiently organized; ideas introduced early are used later. Many illustrative examples. Generous exercise sets, in ...

xvi Preface AN OVERVIEW OF THE BOOK Every student should read the "To the Student" section that follows. It provides some motiva ...

Preface xvii Chapter 4 focuses on limits of functions. The c-6 techniques are discussed early and used extensively. The sequenti ...

xviii Preface tests are discussed in detail, as well as Raabe's test, Dirichlet's test, and Abel's test. A little more attention ...

Preface xix from several outstanding mathematics teachers and mentors who have had last- ing impact on my life, especially E. Ma ...

To the Student OUR SUBJECT IS CALLED "ANALYSIS" Analysis is the mathematical subject that underlies and extends the theory of ca ...