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P:50 WILEYBartle keying1301096prelimsprelims dvi

INSTRUCTOR S MANUAL TO ACCOMPANYINTRODUCTION TO REAL ANALYSISFourth EditionRobert G. BartieEastern Michigan UniversityDonald R. SherbertUniversity of

P:50 WILEYBartle keying1301096prelimsprelims dvi Illinois©...........JOHN WILEY & SONS, INC.Nev/ York • Chichester • Weinheim • Brisbane • Singapore • TorontoCopyright (ệ) 2000, 2010 by John Wiley &

Sow, Inc.Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or instructional purposes on P:50 WILEYBartle keying1301096prelimsprelims dvi

ly to students enrolled in courses for which the textbook has been adopted. Any other reproduction or translation of this work beyond that permitted b

P:50 WILEYBartle keying1301096prelimsprelims dvi

y Sections 107 or Í08 of the 1976 United States Copyright 4ct without the permission of the copyright owner is unlawfid. Requests for permission or fu

INSTRUCTOR S MANUAL TO ACCOMPANYINTRODUCTION TO REAL ANALYSISFourth EditionRobert G. BartieEastern Michigan UniversityDonald R. SherbertUniversity of

P:50 WILEYBartle keying1301096prelimsprelims dvi , Fax (201) 748-6008, Website http://www.wiley.wm/go/permissions.ISBN 978-0-471-44799-3vAvw.pdfgrip.comPREFACEThis Iiiajuia.1 is offered as an aid ill

using the rourt.li edition of InlrtHÍuclion to Real Analysis as a text. Both of US have frequently taught courses from the earlier editions of the te P:50 WILEYBartle keying1301096prelimsprelims dvi

xt and we share here our experience and thoughts as to how to use the txM)k. We hope our comments will be useful.We also provide partial solutions for

P:50 WILEYBartle keying1301096prelimsprelims dvi

almost all of the exercises in the book. Complete solutions arc almost never presented here, but we hope that enough is given so that, a complete sol

INSTRUCTOR S MANUAL TO ACCOMPANYINTRODUCTION TO REAL ANALYSISFourth EditionRobert G. BartieEastern Michigan UniversityDonald R. SherbertUniversity of

P:50 WILEYBartle keying1301096prelimsprelims dvi e also repeat the graphs that were given in the manual for the previous editions, which were prepared for US by Professor Horacio Porta, whom we wish

to thank again.Robert G. BartieDonald R. SherbertNovember 20. 2010vAvw.pdfgrip.comCONTENTSChapter 1Preliminaries ..................................... P:50 WILEYBartle keying1301096prelimsprelims dvi

............1Chapter 2The Real Numbers ..............................................7Chapter 3Sequences .............................................

P:50 WILEYBartle keying1301096prelimsprelims dvi

.......17Chapter 4Limits........................................................28Chapter 5Continuous Functions ......................................

INSTRUCTOR S MANUAL TO ACCOMPANYINTRODUCTION TO REAL ANALYSISFourth EditionRobert G. BartieEastern Michigan UniversityDonald R. SherbertUniversity of

P:50 WILEYBartle keying1301096prelimsprelims dvi 1Chapter 8Sequences of Functions........................................61Chapter 9Infinite Series ..............................................68Cha

pter 10The Generalized Riemann Integral ............................77Chapter 11A Glimpse into Topology......................................88Selecte P:50 WILEYBartle keying1301096prelimsprelims dvi

d Graphs...........................................................95

INSTRUCTOR S MANUAL TO ACCOMPANYINTRODUCTION TO REAL ANALYSISFourth EditionRobert G. BartieEastern Michigan UniversityDonald R. SherbertUniversity of