Hypernumbers and extrafunctions : extending the classical calculus
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The work Hypernumbers and extrafunctions : extending the classical calculus represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Hypernumbers and extrafunctions : extending the classical calculus
Resource Information
The work Hypernumbers and extrafunctions : extending the classical calculus represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Hypernumbers and extrafunctions : extending the classical calculus
 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
 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,
Context
Context of Hypernumbers and extrafunctions : extending the classical calculusWork of
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