The Resource Hypernumbers and extrafunctions : extending the classical calculus, Mark Burgin
Hypernumbers and extrafunctions : extending the classical calculus, Mark Burgin
Resource Information
The item Hypernumbers and extrafunctions : extending the classical calculus, Mark Burgin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Hypernumbers and extrafunctions : extending the classical calculus, Mark Burgin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (vii, 160 pages).
 Contents

 Introduction: How Mathematicians Solve "Unsolvable" Problems
 Hypernumbers
 Extrafunctions
 How to Differentiate Any Real Function
 How to Integrate Any Real Function
 Conclusion: New Opportunities
 Isbn
 9781441998750
 Label
 Hypernumbers and extrafunctions : extending the classical calculus
 Title
 Hypernumbers and extrafunctions
 Title remainder
 extending the classical calculus
 Statement of responsibility
 Mark Burgin
 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
 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
 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
 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Hypernumbersandextrafunctionsextendingthe/zCBWiSugf9g/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Hypernumbersandextrafunctionsextendingthe/zCBWiSugf9g/">Hypernumbers and extrafunctions : extending the classical calculus, Mark Burgin</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>