The Resource Measure, Topology, and Fractal Geometry, by Gerald Edgar, (electronic resource)

Measure, Topology, and Fractal Geometry, by Gerald Edgar, (electronic resource)

Label
Measure, Topology, and Fractal Geometry
Title
Measure, Topology, and Fractal Geometry
Statement of responsibility
by Gerald Edgar
Creator
Author
Author
Subject
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 re-drawn. 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 high-school 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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Edgar, Gerald
Dewey number
514/.742
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
Krpn2Q0XuL8
Language note
English
LC call number
QA611-614.97
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)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 257-259) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Fractal Examples -- Metric Topology -- Topological Dimension -- Self-Similarity -- 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
10.1007/978-0-387-74749-1
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
  • (DE-He213)978-0-387-74749-1
  • (MiAaPQ)EBC3062775
  • (EXLCZ)991000000000492051
Label
Measure, Topology, and Fractal Geometry, by Gerald Edgar, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 257-259) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Fractal Examples -- Metric Topology -- Topological Dimension -- Self-Similarity -- 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
10.1007/978-0-387-74749-1
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
  • (DE-He213)978-0-387-74749-1
  • (MiAaPQ)EBC3062775
  • (EXLCZ)991000000000492051

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