Introduction to real analysis
Bartle, Robert G.
creator
author
Sherbert, Donald R.
author
text
bibliography
nju
New Delhi
Wiley
2015
2011
4th ed.
monographic
eng
xiii, 402 pages : illustrations ; 24 cm.
This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals and drawing student attention to possible applications wherever possible.
Ch. 1. Preliminaries --
Ch. 2. The Real Numbers --
Ch. 3. Sequences and series --
Ch. 4. Limits --
Ch. 5. Continuous functions --
Ch. 6. Differentiation --
Ch. 7. The Riemann integral --
Ch. 8. Sequences of functions --
Ch. 9. Infinite series --
Ch. 10. The generalized Riemann integral --
Ch. 11. A glimpse into topology --
Appendix A. Logic and proofs --
Appendix B. Finite and countable sets --
Appendix C. The Riemann and Lebesgue criteria --
Appendix D. Approximate integration --
Appendix E. Two examples.
Robert G. Bartle and Donald R. Sherbert.
Includes index.
Mathematical analysis
Functions of real variables
515 B289
9788126551811
ISI Library
101022
20170717133401.0
C26540