Book contents
- Frontmatter
- Preface
- Contents
- 1 Preliminaries
- 2 Basic Concepts in Metric Spaces
- 3 Sequences in Metric Spaces
- 4 Limits and Continuity
- 5 Completeness
- 6 Compactness
- 7 Connectedness
- 8 Approximations
- 9 Fixed Point Theorems and Their Applications
- 10 A Construction of Real Number System
- Appendix A Definition of Sets as Cumulative Type Structures
- Appendix B Bibliography
- Index
Appendix B - Bibliography
Published online by Cambridge University Press: 05 April 2012
- Frontmatter
- Preface
- Contents
- 1 Preliminaries
- 2 Basic Concepts in Metric Spaces
- 3 Sequences in Metric Spaces
- 4 Limits and Continuity
- 5 Completeness
- 6 Compactness
- 7 Connectedness
- 8 Approximations
- 9 Fixed Point Theorems and Their Applications
- 10 A Construction of Real Number System
- Appendix A Definition of Sets as Cumulative Type Structures
- Appendix B Bibliography
- Index
Summary
A. A. Franklin, Y. Bar-Hillel and A. Levy, Foundations of Set Theory, North Holland, Amsterdam (1973).
A. Brown and C. Pearcy, An Introduction to Analysis (GTM), Springer Verlag, New York (1995).
A. G. Hamilton, Numbers, Sets and Axioms, Cambridge University Press, UK (1983).
A. Tarski, Introduction to Logic and to the Methodology of Deductive Sciences, Oxford University Press, New York (1965).
B. Ram, Metric Spaces, Vinayak Publications, Delhi (2005).
B. Rotman and G. T. Kneebone, The Theory of Sets and Transfinite Numbers, Oldbourne, London (1972).
C. G. C. Pitts, Introduction to Metric spaces, Oliver and Boyd, Edinburgh (1972).
C. W. Burrill, Foundation of Real Numbers, McGraw-Hill, New York (1967).
C. W. Dodge, Numbers and Mathematics, Prindle, Weber and Schmidt Inc., Boston (1975).
E. Kreyszig, Introductory Functional Analysis with Application, John Willey Sons, New York (1978).
E. Mendelson, Introduction to Mathematical Logic, D. Van Nostrand Company Inc., Princeton (1964).
E. T. Copson, Metric Spaces, Cambridge University Press, UK (1968).
G. Bachman and L. Larski, Functional Analysis, Academic Press, New York (1966).
G. Birkoff, Lattice Theory, A.M.S. Colloqium Publ. XXV, New York (1981).
G. Cohen, A Course in Modern Analysis and its Applications, Cambridge University Press, UK (2003).
G. D. Barru, Measure Theory and Integration, New Age International (P) Limited, New Delhi (1981).
G. F. Simmons, Introduction to Topology and Modern Analysis, McGraw-Hill (1963).
G. Gratzer, General Lattice Theory, Birkhauser Verlag, Basel (2003).
G. L. Cain, Introduction to General Topology, Addison Wesley Publishing Company, Massachusetts (1994).
- Type
- Chapter
- Information
- First Course in Metric Spaces , pp. 348 - 349Publisher: Foundation BooksPrint publication year: 2010
- 1
- Cited by