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The Resource Measure, Topology, and Fractal Geometry, by Gerald Edgar, (electronic resource)
Measure, Topology, and Fractal Geometry, by Gerald Edgar, (electronic resource)
Resource Information
The item Measure, Topology, and Fractal Geometry, by Gerald Edgar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Measure, Topology, and Fractal Geometry, by Gerald Edgar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 For the Second Edition of this highly regarded textbook, Gerald Edgar has made numerous additions and changes, in an attempt to provide a clearer and more focused exposition. The most important addition is an increased emphasis on the packing measure, so that now it is often treated on a par with the Hausdorff measure. The topological dimensions were rearranged for Chapter 3, so that the covering dimension is the major one, and the inductive dimensions are the variants. A "reduced cover class" notion was introduced to help in proofs for Method I or Method II measures. Research results since 1990 that affect these elementary topics have been taken into account. Some examples have been added, including Barnsley leaf and Julia set, and most of the figures have been redrawn. From reviews of the First Edition: "...there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented highschool students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology...the book also contains many good illustrations of fractals..."  Mathematics Teaching "The book can be recommended to students who seriously want to know about the mathematical foundation of fractals, and to lecturers who want to illustrate a standard course in metric topology by interesting examples."  Christoph Bandt, Mathematical Reviews "...not only intended to fit mathematics students who wish to learn fractal geometry from its beginning but also students in computer science who are interested in the subject. [For such students] the author gives the required topics from metric topology and measure theory on an elementary level. The book is written in a very clear style and contains a lot of exercises which should be worked out."  H.Haase, Zentralblatt
 Language

 eng
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (292 p.)
 Note
 Description based upon print version of record
 Contents

 Fractal Examples
 Metric Topology
 Topological Dimension
 SelfSimilarity
 Measure Theory
 Fractal Dimension
 Additional Topics
 Isbn
 9780387747491
 Label
 Measure, Topology, and Fractal Geometry
 Title
 Measure, Topology, and Fractal Geometry
 Statement of responsibility
 by Gerald Edgar
 Language

 eng
 eng
 Summary
 For the Second Edition of this highly regarded textbook, Gerald Edgar has made numerous additions and changes, in an attempt to provide a clearer and more focused exposition. The most important addition is an increased emphasis on the packing measure, so that now it is often treated on a par with the Hausdorff measure. The topological dimensions were rearranged for Chapter 3, so that the covering dimension is the major one, and the inductive dimensions are the variants. A "reduced cover class" notion was introduced to help in proofs for Method I or Method II measures. Research results since 1990 that affect these elementary topics have been taken into account. Some examples have been added, including Barnsley leaf and Julia set, and most of the figures have been redrawn. From reviews of the First Edition: "...there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented highschool students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology...the book also contains many good illustrations of fractals..."  Mathematics Teaching "The book can be recommended to students who seriously want to know about the mathematical foundation of fractals, and to lecturers who want to illustrate a standard course in metric topology by interesting examples."  Christoph Bandt, Mathematical Reviews "...not only intended to fit mathematics students who wish to learn fractal geometry from its beginning but also students in computer science who are interested in the subject. [For such students] the author gives the required topics from metric topology and measure theory on an elementary level. The book is written in a very clear style and contains a lot of exercises which should be worked out."  H.Haase, Zentralblatt
 http://library.link/vocab/creatorName
 Edgar, Gerald
 Dewey number
 514/.742
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 Krpn2Q0XuL8
 Language note
 English
 LC call number
 QA611614.97
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Undergraduate Texts in Mathematics,
 http://library.link/vocab/subjectName

 Topology
 Mathematics
 Geometry
 Topology
 Real Functions
 Geometry
 Measure and Integration
 Label
 Measure, Topology, and Fractal Geometry, by Gerald Edgar, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 257259) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Fractal Examples  Metric Topology  Topological Dimension  SelfSimilarity  Measure Theory  Fractal Dimension  Additional Topics
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (292 p.)
 Form of item
 online
 Isbn
 9780387747491
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780387747491
 Specific material designation
 remote
 System control number

 (CKB)1000000000492051
 (EBL)3062775
 (SSID)ssj0000318862
 (PQKBManifestationID)11243797
 (PQKBTitleCode)TC0000318862
 (PQKBWorkID)10329683
 (PQKB)10499195
 (SSID)ssj0000771818
 (PQKBManifestationID)12242099
 (PQKBTitleCode)TC0000771818
 (PQKBWorkID)10815597
 (PQKB)10766333
 (DEHe213)9780387747491
 (MiAaPQ)EBC3062775
 (EXLCZ)991000000000492051
 Label
 Measure, Topology, and Fractal Geometry, by Gerald Edgar, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 257259) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Fractal Examples  Metric Topology  Topological Dimension  SelfSimilarity  Measure Theory  Fractal Dimension  Additional Topics
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (292 p.)
 Form of item
 online
 Isbn
 9780387747491
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780387747491
 Specific material designation
 remote
 System control number

 (CKB)1000000000492051
 (EBL)3062775
 (SSID)ssj0000318862
 (PQKBManifestationID)11243797
 (PQKBTitleCode)TC0000318862
 (PQKBWorkID)10329683
 (PQKB)10499195
 (SSID)ssj0000771818
 (PQKBManifestationID)12242099
 (PQKBTitleCode)TC0000771818
 (PQKBWorkID)10815597
 (PQKB)10766333
 (DEHe213)9780387747491
 (MiAaPQ)EBC3062775
 (EXLCZ)991000000000492051
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/MeasureTopologyandFractalGeometryby/jNSAbmrBqHE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/MeasureTopologyandFractalGeometryby/jNSAbmrBqHE/">Measure, Topology, and Fractal Geometry, by Gerald Edgar, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>