http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Real Number SystemAlgebra of the Real Number System Upper and Lower Bounds LUB Property and Its Applications Absolute Value and Triangle Inequality Sequences and Their Convergence Sequences and Their Convergence Cauchy Sequences Monotone Sequences Sandwich Lemma Some Important Limits Sequences Diverging to Subsequences Sequences Defined Recursively Continuity Continuous Functions Definition of Continuity Intermediate Value Theorem .Extreme Value Theorem Monotone Functions Limits Uniform Continuity Continuous Extensions Differentiation Differentiability of Functions Mean Value Theorems L'Hospit
Front Cover; Contents; Preface; To the Students; About the Authors; List of Figures; Chapter 1: Real Number System; Chapter 2: Sequences and Their Convergence; Chapter 3: Continuity; Chapter 4: Differentiation; Chapter 5: Infinite Series; Chapter 6: Riemann Integration; Chapter 7: Sequences and Series of Functions; Appendix A: Quantifiers; Appendix B: Limit Inferior and Limit Superior; Appendix C: Topics for Student Seminars; Appendix D: Hints for Selected Exercises; Bibliography; Back Cover.