02069cam a22002654a 4500
C26540
ISI Library, Kolkata
20170717133401.0
101022s2011 njua b 001 0 eng
9788126551811
ISI Library
515
23
B289
Bartle, Robert G.,
author
Introduction to real analysis /
Robert G. Bartle and Donald R. Sherbert.
4th ed.
New Delhi :
Wiley,
2015.
xiii, 402 pages :
illustrations ;
24 cm.
Includes index.
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.
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.
Mathematical analysis.
Functions of real variables.
Sherbert, Donald R.,
author
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2017-06-20
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515 B289
C26540
2017-09-23
2017-08-24
2017-08-24
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