Coverart for item
The Resource Hypernumbers and extrafunctions : extending the classical calculus, Mark Burgin

Hypernumbers and extrafunctions : extending the classical calculus, Mark Burgin

Label
Hypernumbers and extrafunctions : extending the classical calculus
Title
Hypernumbers and extrafunctions
Title remainder
extending the classical calculus
Statement of responsibility
Mark Burgin
Creator
Subject
Language
eng
Summary
?Hypernumbers and Extrafunctions? presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a conventional function but also the concept of a distribution. Extrafucntions have been also efficiently used for a rigorous mathematical definition of the Feynman path integral, as well as for solving some problems in probability theory, which is also important for contemporary physics. This book introduces a new theory that includes the theory of distributions as a subtheory, providing more powerful tools for mathematics and its applications. Specifically, it makes it possible to solve PDE for which it is proved that they do not have solutions in distributions. Also illustrated in this text is how this new theory allows the differentiation and integration of any real function. This text can be used for enhancing traditional courses of calculus for undergraduates, as well as for teaching a separate course for graduate students
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Burgin, M. S.
Dewey number
515
Index
index present
LC call number
QA303.2
LC item number
.B87 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
Series statement
SpringerBriefs in mathematics,
http://library.link/vocab/subjectName
  • Calculus
  • Mathematics
  • MATHEMATICS
  • MATHEMATICS
  • Calculus
Label
Hypernumbers and extrafunctions : extending the classical calculus, Mark Burgin
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction: How Mathematicians Solve "Unsolvable" Problems
  • Hypernumbers
  • Extrafunctions
  • How to Differentiate Any Real Function
  • How to Integrate Any Real Function
  • Conclusion: New Opportunities
Control code
794176804
Dimensions
unknown
Extent
1 online resource (vii, 160 pages).
File format
unknown
Form of item
online
Isbn
9781441998750
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)794176804
Label
Hypernumbers and extrafunctions : extending the classical calculus, Mark Burgin
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction: How Mathematicians Solve "Unsolvable" Problems
  • Hypernumbers
  • Extrafunctions
  • How to Differentiate Any Real Function
  • How to Integrate Any Real Function
  • Conclusion: New Opportunities
Control code
794176804
Dimensions
unknown
Extent
1 online resource (vii, 160 pages).
File format
unknown
Form of item
online
Isbn
9781441998750
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)794176804

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      38.944491 -92.326012
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