Table Of Content

STUDENT MATHEMATICAL LIBRARY Volume 12 Problems in Mathematical Analysis II Continuity and Differentiation W. J. Kaczor M. T. Nowak Selected Titles in This Series 12 W. J. Kaczor and M. T. Nowak, Problemsinmathematicalanalysis II:Continuityanddifferentiation,2001 11 Michael Mesterton-Gibbons, Anintroductiontogame-theoretic modelling,2000 10 John Oprea, Themathematicsofsoapfilms:ExplorationswithMaple(cid:2)r, 2000 9 David E. Blair, Inversiontheoryandconformalmapping,2000 8 Edward B. Burger, Exploringthenumberjungle:Ajourneyinto diophantineanalysis,2000 7 Judy L. Walker, Codesandcurves,2000 6 G´erald Tenenbaum and Michel Mend`es France, Theprimenumbers andtheirdistribution,2000 5 Alexander Mehlmann, Thegame’safoot!Gametheoryinmythand paradox,2000 4 W. J. Kaczor and M. T. Nowak, Problemsinmathematicalanalysis I:Realnumbers,sequencesandseries,2000 3 Roger Knobel, Anintroductiontothemathematicaltheoryofwaves, 2000 2 Gregory F. Lawler and Lester N. Coyle, Lecturesoncontemporary probability,1999 1 Charles Radin, Milesoftiles,1999 Problems in Mathematical Analysis II Continuity and Differentiation STUDENT MATHEMATICAL LIBRARY Volume 12 Problems in Mathematical Analysis II Continuity and Differentiation W. J. Kaczor M. T. Nowak Editorial Board David Bressoud Carl Pomerance Robert Devaney, Chair Hung-Hsi Wu Originallypublished in Polish,as Zadania z Analizy Matematycznej. Cze(cid:2)´s´c Druga Funkcje Jednej Zmiennej—Rachunek R´oz˙niczowy (cid:2)c 1998, Wydawnictwo Uniwersytetu Marii Curie–Sk(cid:2)lodowskiej, Lublin. Translated, revised and augmented by the authors. 2000 Mathematics Subject Classification. Primary00A07; Secondary 26A06, 26A15, 26A24. Library of Congress Cataloging-in-Publication Data Kaczor,W.J.(WieslawaJ.),1949– [Zadaniazanalizymatematycznej. English] Problems in mathematical analysis. I. Real numbers, sequences and series / W.J.Kaczor,M.T.Nowak. p.cm. —(Studentmathematicallibrary,ISSN1520-9121;v.4) Includesbibliographicalreferences. ISBN0-8218-2050-8(softcover;alk.paper) 1. Mathematical analysis I. Nowak, M. T. (Maria T.), 1951– II. Title. III.Series. QA300K32513 2000 515(cid:2).076–dc21 99-087039 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passagesfromthispublicationinreviews,providedthecustomaryacknowledgmentof thesourceisgiven. Republication,systematiccopying,ormultiplereproductionofanymaterialinthis publicationispermittedonlyunderlicensefromtheAmericanMathematicalSociety. Requests for such permission should be addressed to the Assistant to the Publisher, AmericanMathematicalSociety,P.O.Box6248,Providence,RhodeIsland02940-6248. [email protected]. (cid:2)c 2001bytheAmericanMathematicalSociety. Allrightsreserved. TheAmericanMathematicalSocietyretainsallrights exceptthosegrantedtotheUnitedStatesGovernment. PrintedintheUnitedStatesofAmerica. (cid:2)∞ Thepaperusedinthisbookisacid-freeandfallswithintheguidelines establishedtoensurepermanenceanddurability. VisittheAMShomepageatURL:http://www.ams.org/ 10987654321 060504030201 Contents Preface xi Notation and Terminology xiii Problems Chapter (cid:2)(cid:3) Limits and Continuity (cid:2)(cid:3)(cid:2)(cid:3) The Limit of a Function (cid:4) (cid:2)(cid:3)(cid:5)(cid:3) Properties of Continuous Functions (cid:6) (cid:2)(cid:3)(cid:4)(cid:3) Intermediate Value Property (cid:2)(cid:7) (cid:2)(cid:3)(cid:7)(cid:3) Semicontinuous Functions (cid:2)(cid:8) (cid:2)(cid:3)(cid:9)(cid:3) Uniform Continuity (cid:5)(cid:7) (cid:2)(cid:3)(cid:10)(cid:3) Functional Equations (cid:5)(cid:11) (cid:2)(cid:3)(cid:11)(cid:3) Continuous Functions in Metric Spaces (cid:4)(cid:5) Chapter (cid:5)(cid:3) Di(cid:12)erentiation (cid:5)(cid:3)(cid:2)(cid:3) The Derivative of a Real Function (cid:4)(cid:11) (cid:5)(cid:3)(cid:5)(cid:3) Mean Value Theorems (cid:7)(cid:9) (cid:5)(cid:3)(cid:4)(cid:3) Taylor(cid:13)s Formula and L(cid:13)Hospital(cid:13)s Rule (cid:9)(cid:5) (cid:5)(cid:3)(cid:7)(cid:3) Convex Functions (cid:10)(cid:2) vii viii Contents (cid:5)(cid:3)(cid:9)(cid:3) Applications of Derivatives (cid:10)(cid:8) (cid:5)(cid:3)(cid:10)(cid:3) StrongDi(cid:12)erentiabilityandSchwarzDi(cid:12)erentiability (cid:11)(cid:11) Chapter (cid:4)(cid:3) Sequences and Series of Functions (cid:4)(cid:3)(cid:2)(cid:3) Sequences of Functions(cid:14) Uniform Convergence (cid:8)(cid:2) (cid:4)(cid:3)(cid:5)(cid:3) Series of Functions(cid:14) Uniform Convergence (cid:8)(cid:11) (cid:4)(cid:3)(cid:4)(cid:3) PowerSeries (cid:6)(cid:10) (cid:4)(cid:3)(cid:7)(cid:3) Taylor Series (cid:2)(cid:15)(cid:5) Solutions Chapter (cid:2)(cid:3) Limits and Continuity (cid:2)(cid:3)(cid:2)(cid:3) The Limit of a Function (cid:2)(cid:2)(cid:2) (cid:2)(cid:3)(cid:5)(cid:3) Properties of Continuous Functions (cid:2)(cid:5)(cid:6) (cid:2)(cid:3)(cid:4)(cid:3) Intermediate Value Property (cid:2)(cid:7)(cid:10) (cid:2)(cid:3)(cid:7)(cid:3) Semicontinuous Functions (cid:2)(cid:10)(cid:15) (cid:2)(cid:3)(cid:9)(cid:3) Uniform Continuity (cid:2)(cid:11)(cid:2) (cid:2)(cid:3)(cid:10)(cid:3) Functional Equations (cid:2)(cid:8)(cid:2) (cid:2)(cid:3)(cid:11)(cid:3) Continuous Functions in Metric Spaces (cid:2)(cid:6)(cid:8) Chapter (cid:5)(cid:3) Di(cid:12)erentiation (cid:5)(cid:3)(cid:2)(cid:3) The Derivative of a Real Function (cid:5)(cid:2)(cid:2) (cid:5)(cid:3)(cid:5)(cid:3) Mean Value Theorems (cid:5)(cid:4)(cid:4) (cid:5)(cid:3)(cid:4)(cid:3) Taylor(cid:13)s Formula and L(cid:13)Hospital(cid:13)s Rule (cid:5)(cid:7)(cid:9) (cid:5)(cid:3)(cid:7)(cid:3) Convex Functions (cid:5)(cid:10)(cid:11) (cid:5)(cid:3)(cid:9)(cid:3) Applications of Derivatives (cid:5)(cid:8)(cid:9) (cid:5)(cid:3)(cid:10)(cid:3) StrongDi(cid:12)erentiabilityandSchwarzDi(cid:12)erentiability (cid:4)(cid:2)(cid:15) Chapter (cid:4)(cid:3) Sequences and Series of Functions (cid:4)(cid:3)(cid:2)(cid:3) Sequences of Functions(cid:14) Uniform Convergence (cid:4)(cid:2)(cid:11) (cid:4)(cid:3)(cid:5)(cid:3) Series of Functions(cid:14) Uniform Convergence (cid:4)(cid:4)(cid:10) (cid:4)(cid:3)(cid:4)(cid:3) PowerSeries (cid:4)(cid:9)(cid:9) Contents ix (cid:4)(cid:3)(cid:7)(cid:3) Taylor Series (cid:4)(cid:11)(cid:5) Bibliography (cid:16) Books (cid:4)(cid:6)(cid:4) Index (cid:4)(cid:6)(cid:11)

ebook img

Problems in Mathematical Analysis II: Continuity and Differentiation PDF

418 Pages·2001·2.049 MB·English
by  W. J. Kaczor, M. T. Nowak
#
Save to my drive
Quick download
Download

Download Problems in Mathematical Analysis II: Continuity and Differentiation PDF Free - Full Version

by W. J. Kaczor, M. T. Nowak| 2001| 418 pages| 2.049| English

Download Problems in Mathematical Analysis II: Continuity and Differentiation by W. J. Kaczor, M. T. Nowak in PDF format completely FREE. No registration required, no payment needed. Get instant access to this valuable resource on PDFdrive.to!

Free Download PDF

About Problems in Mathematical Analysis II: Continuity and Differentiation

No description available for this book.

Detailed Information

Author:W. J. Kaczor, M. T. Nowak
Publication Year:2001
Pages:418
Language:English
File Size:2.049
Format:PDF
Price:FREE
Download Free PDF

Safe & Secure Download - No registration required

Why Choose PDFdrive for Your Free Problems in Mathematical Analysis II: Continuity and Differentiation Download?

  • 100% Free: No hidden fees or subscriptions required for one book every day.
  • No Registration: Immediate access is available without creating accounts for one book every day.
  • Safe and Secure: Clean downloads without malware or viruses
  • Multiple Formats: PDF, MOBI, Mpub,... optimized for all devices
  • Educational Resource: Supporting knowledge sharing and learning

Free Books Similar to Problems in Mathematical Analysis II: Continuity and Differentiation

Frequently Asked Questions

Is it really free to download Problems in Mathematical Analysis II: Continuity and Differentiation PDF?

Yes, on https://PDFdrive.to you can download Problems in Mathematical Analysis II: Continuity and Differentiation by W. J. Kaczor, M. T. Nowak completely free. We don't require any payment, subscription, or registration to access this PDF file. For 3 books every day.

How can I read Problems in Mathematical Analysis II: Continuity and Differentiation on my mobile device?

After downloading Problems in Mathematical Analysis II: Continuity and Differentiation PDF, you can open it with any PDF reader app on your phone or tablet. We recommend using Adobe Acrobat Reader, Apple Books, or Google Play Books for the best reading experience.

Is this the full version of Problems in Mathematical Analysis II: Continuity and Differentiation?

Yes, this is the complete PDF version of Problems in Mathematical Analysis II: Continuity and Differentiation by W. J. Kaczor, M. T. Nowak. You will be able to read the entire content as in the printed version without missing any pages.

Is it legal to download Problems in Mathematical Analysis II: Continuity and Differentiation PDF for free?

https://PDFdrive.to provides links to free educational resources available online. We do not store any files on our servers. Please be aware of copyright laws in your country before downloading.

The materials shared are intended for research, educational, and personal use in accordance with fair use principles.

We use cookies

We use cookies to ensure you get the best browsing experience on our website. By clicking "Accept Cookies", you agree that we can store cookies on your device in accordance with our Terms and Privacy.