The Resource Real Analysis and Applications : Theory in Practice, by Kenneth R. Davidson, Allan P. Donsig, (electronic resource)

Real Analysis and Applications : Theory in Practice, by Kenneth R. Davidson, Allan P. Donsig, (electronic resource)

Label
Real Analysis and Applications : Theory in Practice
Title
Real Analysis and Applications
Title remainder
Theory in Practice
Statement of responsibility
by Kenneth R. Davidson, Allan P. Donsig
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
This new approach to real analysis stresses the use of the subject in applications, showing how the principles and theory of real analysis can be applied in various settings. Applications cover approximation by polynomials, discrete dynamical systems, differential equations, Fourier series and physics, Fourier series and approximation, wavelets, and convexity and optimization. Each chapter has many useful exercises. The treatment of the basic theory covers the real numbers, functions, and calculus, while emphasizing the role of normed vector spaces, and particularly of Rn. The applied chapters are mostly independent, giving the reader a choice of topics. This book is appropriate for students with a prior knowledge of both calculus and linear algebra who want a careful development of both analysis and its use in applications. Review of the previous version of this book, Real Analysis with Real Applications: "A well balanced book! The first solid analysis course, with proofs, is central in the offerings of any math.-dept.; ---and yet, the new books that hit the market don't always hit the mark: the balance between theory and applications, ---between technical proofs and intuitive ideas, ---between classical and modern subjects, and between real life exercises vs. the ones that drill a new concept. The Davidson-Donsig book is outstanding, and it does hit the mark." Palle E. T. Jorgenson, Review from Amazon.com Kenneth R. Davidson is University Professor of Mathematics at the University of Waterloo. Allan P. Donsig is Associate Professor of Mathematics at the University of Nebraska-Lincoln
Member of
Is Subseries of
http://library.link/vocab/creatorName
Davidson, Kenneth R
Dewey number
515
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • KDxNCSoSh80
  • 5cNum2Bo5Ek
Language note
English
LC call number
QA331.5
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Donsig, Allan P.
Series statement
Undergraduate Texts in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Global analysis (Mathematics)
  • Real Functions
  • Analysis
  • Applications of Mathematics
Label
Real Analysis and Applications : Theory in Practice, by Kenneth R. Davidson, Allan P. Donsig, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 505-506) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Analysis -- Review -- The Real Numbers -- Series -- Topology of -- Functions -- Differentiation and Integration -- Norms and Inner Products -- Limits of Functions -- Metric Spaces -- Applications -- Approximation by Polynomials -- Discrete Dynamical Systems -- Differential Equations -- Fourier Series and Physics -- Fourier Series and Approximation -- Wavelets -- Convexity and Optimization
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (521 p.)
Form of item
online
Isbn
9786613568960
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-387-98098-0
Specific material designation
remote
System control number
  • (CKB)2510000000006567
  • (EBL)3064845
  • (SSID)ssj0000326107
  • (PQKBManifestationID)11225646
  • (PQKBTitleCode)TC0000326107
  • (PQKBWorkID)10265247
  • (PQKB)11578380
  • (DE-He213)978-0-387-98098-0
  • (MiAaPQ)EBC3064845
  • (EXLCZ)992510000000006567
Label
Real Analysis and Applications : Theory in Practice, by Kenneth R. Davidson, Allan P. Donsig, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 505-506) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Analysis -- Review -- The Real Numbers -- Series -- Topology of -- Functions -- Differentiation and Integration -- Norms and Inner Products -- Limits of Functions -- Metric Spaces -- Applications -- Approximation by Polynomials -- Discrete Dynamical Systems -- Differential Equations -- Fourier Series and Physics -- Fourier Series and Approximation -- Wavelets -- Convexity and Optimization
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (521 p.)
Form of item
online
Isbn
9786613568960
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-387-98098-0
Specific material designation
remote
System control number
  • (CKB)2510000000006567
  • (EBL)3064845
  • (SSID)ssj0000326107
  • (PQKBManifestationID)11225646
  • (PQKBTitleCode)TC0000326107
  • (PQKBWorkID)10265247
  • (PQKB)11578380
  • (DE-He213)978-0-387-98098-0
  • (MiAaPQ)EBC3064845
  • (EXLCZ)992510000000006567

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