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A course in real analysis

Author: Hugo D Junghenn
Publisher: Boca Raton, FL : CRC Press, [2015]
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Functions of One Variable The Real Number System From Natural Numbers to Real Numbers Algebraic Properties of R Order Structure of R Completeness Property of R Mathematical Induction Euclidean Space Numerical Sequences Limits of Sequences Monotone Sequences Subsequences. Cauchy Sequences Limit Inferior and Limit Superior Limits and Continuity on R Limit of a Function Limits Inferior and Superior Continuous Functions  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Junghenn, Hugo D.
A Course in Real Analysis.
Hoboken : CRC Press, ©2015
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hugo D Junghenn
ISBN: 9781482219289 148221928X
OCLC Number: 944175685
Description: 1 online resource
Contents: Front Cover; Contents; Preface; List of Figures; List of Tables; List of Symbols; Part I: Functions of One Variable; Chapter 1: The Real Number System; Chapter 2: Numerical Sequences; Chapter 3: Limits and Continuity on R; Chapter 4: Differentiation on R; Chapter 5: Riemann Integration on R; Chapter 6: Numerical Infinite Series; Chapter 7: Sequences and Series of Functions; Part II: Functions of Several Variables; Chapter 8: Metric Spaces; Chapter 9: Differentiation on Rn; Chapter 10: Lebesgue Measure on Rn; Chapter 11: Lebesgue Integration on Rn; Chapter 12: Curves and Surfaces in Rn. Chapter 13: Integration on SurfacesPart III: Appendices; Appendix A: Set Theory; Appendix B: Linear Algebra; Appendix C: Solutions to Selected Problems; Bibliography; Back Cover.
Responsibility: Hugo D. Junghenn.

Abstract:

Functions of One Variable The Real Number System From Natural Numbers to Real Numbers Algebraic Properties of R Order Structure of R Completeness Property of R Mathematical Induction Euclidean Space Numerical Sequences Limits of Sequences Monotone Sequences Subsequences. Cauchy Sequences Limit Inferior and Limit Superior Limits and Continuity on R Limit of a Function Limits Inferior and Superior Continuous Functions Some Properties of Continuous Functions Uniform Continuity Differentiation on R Definition of Derivative. Examples The Mean Value Theorem Convex Functions Inverse Functions L'Hospi.

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"... intended for a first course in real analysis. ... It could also be used to support an advanced calculus course. ... The approach is theoretical and the writing rigorously mathematical. There are Read more...

 
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