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Elementary Analysis through Examples and Exercises

  • John Schmeelk
  • Djurdjica Takači
  • Arpad Takači

Part of the Kluwer Texts in the Mathematical Sciences book series (TMS, volume 10)

Table of contents

  1. Front Matter
    Pages i-ix
  2. John Schmeelk, Djurdjica Takači, Arpad Takači
    Pages 1-44
  3. John Schmeelk, Djurdjica Takači, Arpad Takači
    Pages 45-81
  4. John Schmeelk, Djurdjica Takači, Arpad Takači
    Pages 83-140
  5. John Schmeelk, Djurdjica Takači, Arpad Takači
    Pages 141-180
  6. John Schmeelk, Djurdjica Takači, Arpad Takači
    Pages 181-212
  7. John Schmeelk, Djurdjica Takači, Arpad Takači
    Pages 213-284
  8. John Schmeelk, Djurdjica Takači, Arpad Takači
    Pages 285-312
  9. Back Matter
    Pages 313-321

About this book

Introduction

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.

Keywords

Elementary Analysis Mathematica calculus derivative differential calculus mathematical analysis mathematical induction real number

Authors and affiliations

  • John Schmeelk
    • 1
  • Djurdjica Takači
    • 2
  • Arpad Takači
    • 2
  1. 1.Department of Mathematical SciencesVirginia Commonwealth UniversityRichmondUSA
  2. 2.Institute of MathematicsUniversity of Novi SadNovi SadYugoslavia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8589-7
  • Copyright Information Springer Science+Business Media B.V. 1995
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4590-4
  • Online ISBN 978-94-015-8589-7
  • Series Print ISSN 0927-4529
  • Buy this book on publisher's site
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