Coverart for item
The Resource Nature's Patterns and the Fractional Calculus

Nature's Patterns and the Fractional Calculus

Label
Nature's Patterns and the Fractional Calculus
Title
Nature's Patterns and the Fractional Calculus
Creator
Subject
Language
eng
Summary
Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system's functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system's information gradient. Based on first principles, the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature, the book is of interest to researchers in applied mathematics, as well as, investigators in the natural, social, physical and life sciences. ContentsComplexityEmpirical allometryStatistics, scaling and simulationAllometry theoriesStrange kineticsFractional probability calculus
Member of
Cataloging source
IDEBK
http://library.link/vocab/creatorName
West, Bruce J
Dewey number
510
Index
index present
Language note
In English
LC call number
QA314
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Fractional Calculus in Applied Sciences and Engineering
Series volume
2
http://library.link/vocab/subjectName
  • Fractional calculus
  • Pattern formation (Biology)
  • Allometry
  • pattern formation
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
  • Allometry
  • Fractional calculus
  • Pattern formation (Biology)
Label
Nature's Patterns and the Fractional Calculus
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Foreword; Acknowledgement; Contents; 1. Complexity; 2. Empirical allometry; 3. Statistics, scaling and simulation; 4. Allometry theories; 5. Strange kinetics; 6. Fractional probability calculus; Epilogue; Bibliography; Index
Control code
1004563253
Dimensions
unknown
Extent
1 online resource (214)
Form of item
online
Isbn
9783110535136
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1515/9783110535136
  • 9783110535136
  • urn:nbn:de:101:1-201710047320
  • 9783110534276
  • urn:nbn:de:101:1-201710049022
http://library.link/vocab/ext/overdrive/overdriveId
1036858
Specific material designation
remote
System control number
(OCoLC)1004563253
Label
Nature's Patterns and the Fractional Calculus
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Foreword; Acknowledgement; Contents; 1. Complexity; 2. Empirical allometry; 3. Statistics, scaling and simulation; 4. Allometry theories; 5. Strange kinetics; 6. Fractional probability calculus; Epilogue; Bibliography; Index
Control code
1004563253
Dimensions
unknown
Extent
1 online resource (214)
Form of item
online
Isbn
9783110535136
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1515/9783110535136
  • 9783110535136
  • urn:nbn:de:101:1-201710047320
  • 9783110534276
  • urn:nbn:de:101:1-201710049022
http://library.link/vocab/ext/overdrive/overdriveId
1036858
Specific material designation
remote
System control number
(OCoLC)1004563253

Library Locations

    • Curtis Laws Wilson LibraryBorrow it
      400 West 14th Street, Rolla, MO, 65409, US
      37.955220 -91.772210
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