Introduction to real analysis / Robert G. Bartle and Donald R. Sherbert.
By: Bartle, Robert G [author].
Contributor(s): Sherbert, Donald R [author].
Material type: BookPublisher: New Delhi : Wiley, 2015Edition: 4th ed.Description: xiii, 402 pages : illustrations ; 24 cm.ISBN: 9788126551811.Subject(s): Mathematical analysis  Functions of real variablesDDC classification: 515Item type  Current location  Call number  Status  Date due  Barcode  Item holds  

Books 
ISI Library, Kolkata

515 B289 (Browse shelf)  Checked out  23/09/2017  C26540 
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 userfriendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing pointset 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.
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