Hypernumbers and Extrafunctions is popular PDF and ePub book, written by Mark Burgin in 2012-05-16, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Hypernumbers and Extrafunctions can be Read Online from any device for your convenience.
Hypernumbers and Extrafunctions Book PDF 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.
Detail Book of Hypernumbers and Extrafunctions PDF
- Author : Mark Burgin
- Release : 16 May 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781441998750
- Genre : Mathematics
- Total Page : 163 pages
- Language : English
- PDF File Size : 17,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Hypernumbers and Extrafunctions by Mark Burgin, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.