[Opt-Net] A new book info

Dmitri Kvasov kvadim at dimes.unical.it
Sat Jul 9 15:55:46 CEST 2022


Dear Administrators of the OPT-NET newsletter, can you please insert the
following information in the next OPT-NET newsletter? Thank you in advance.

Best regards,
Dmitri Kvasov, University of Calabria (Italy)

*Subject*: a new book "Numerical infinities and infinitesimals in
optimization" just published by Springer

*Text*:
The book https://link.springer.com/book/10.1007/978-3-030-93642-6 edited by
Yaroslav D. Sergeyev (University of Calabria, Italy) and Renato De Leone
(University of Camerino, Italy) contains contributions of 22 authors using
in optimization a new powerful supercomputing paradigm
<http://www.theinfinitycomputer.com/> allowing to numerically work with
different infinities and infinitesimals on the Infinity Computer patented
in several countries. This is the first book presenting to the readers
interested in optimization the advantages of the paradigm. The volume
provides a friendly introduction to the paradigm and a broad panorama of
killing applications of the Infinity Computer in optimization: radically
new numerical algorithms, great theoretical insights, efficient software
implementations, and interesting practical case studies. One of the editors
of the book is the creator of the Infinity Computer, and another editor was
the first who has started to use it in optimization. Their results were
awarded by numerous scientific prizes. This engaging book opens new
horizons for researchers, engineers, professors, and students with
interests in supercomputing paradigms, optimization, decision making, game
theory, and foundations of mathematics and computer science. This volume is
a part of the Springer book series Emergence, Complexity and Computation.

>From the Back Cover:

“Mathematicians have never been comfortable handling infinities… But an
entirely new type of mathematics looks set to by-pass the problem… Today,
Yaroslav Sergeyev, a mathematician at the University of Calabria in Italy
solves this problem… ”

MIT Technology Review

“These ideas and future hardware prototypes may be productive in all fields
of science where infinite and infinitesimal numbers (derivatives,
integrals, series, fractals) are used.” A. Adamatzky, Editor-in-Chief of
the International Journal of Unconventional Computing.

“I am sure that the new approach … will have a very deep impact both on
Mathematics and Computer Science.” D. Trigiante, Computational Management
Science.

“Within the grossone framework, it becomes feasible to deal computationally
with infinite quantities, in a way that is both new (in the sense that
previously intractable problems become amenable to computation) and
natural”. R. Gangle, G. Caterina, F. Tohmé, Soft Computing.

“The computational features offered by the Infinity Computer allow us to
dynamically change the accuracy of representation and floating-point
operations during the flow of a computation. When suitably implemented,
this possibility turns out to be particularly advantageous when solving
ill-conditioned problems. In fact, compared with a standard multi-precision
arithmetic, here the accuracy is improved only when needed, thus not
affecting that much the overall computational effort.” P. Amodio, L.
Brugnano, F. Iavernaro & F. Mazzia, Soft Computing.

-- 
*Rispetta l'ambiente: se non ti è necessario, non stampare questa mail.*



Ai sensi del Regolamento UE 2016/679, del D. Lgs. 196/2003 e s. m. i. si 
precisa che le informazioni contenute in questo messaggio sono riservate ed 
a uso esclusivo del destinatario.
Qualora il messaggio in parola Le fosse 
pervenuto per errore, La invitiamo ad eliminarlo senza copiarlo e a non 
inoltrarlo a terzi, dandone gentilmente comunicazione al mittente. Grazie.
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://listserv.zib.de/pipermail/opt-net/attachments/20220709/2b9c70d3/attachment.html>


More information about the Opt-Net mailing list