Free shipping on all orders over $79* Limited Time Only
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $79
Hypernumbers and Extrafunctions : Extending the Classical Calculus - Mark Burgin

Hypernumbers and Extrafunctions

Extending the Classical Calculus

By: Mark Burgin

eText | 16 May 2012

At a Glance

eText

$84.99

or 4 interest-free payments of $21.25 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.

"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 theFeynman 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.

on
Desktop
Tablet
Mobile

You Can Find This eBook In

Non-FictionMathematicsCalculus & Mathematical AnalysisFunctional Analysis & TransformsDifferential Calculus & EquationsSciencePhysicsIntegral Calculus & Equations

More in Calculus & Mathematical Analysis

AI Breaking Boundaries - Avinash Vanam

eBOOK

AI Breaking Boundaries

eBook

$16.99

Enriques Surfaces I - François Cossec

eTEXT

Enriques Surfaces I

eText

$289.00

This product is categorised by