The General Theory of Homogenization: A Personalized Introduction - Lecture Notes of the Unione Matematica Italiana 7 (Paperback)
  • The General Theory of Homogenization: A Personalized Introduction - Lecture Notes of the Unione Matematica Italiana 7 (Paperback)
zoom

The General Theory of Homogenization: A Personalized Introduction - Lecture Notes of the Unione Matematica Italiana 7 (Paperback)

(author)
£62.99
Paperback 471 Pages / Published: 21/12/2009
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket

Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); instead, one uses various topologies of weak type, the G-convergence of Sergio Spagnolo, the H-convergence of Francois Murat and the author, and some responsible for the appearance of nonlocal effects, which many theories in continuum mechanics or physics guessed wrongly.

For a better understanding of 20th century science, new mathematical tools must be introduced, like the author's H-measures, variants by Patrick Gerard, and others yet to be discovered.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783642051944
Number of pages: 471
Weight: 1520 g
Dimensions: 235 x 155 x 25 mm
Edition: 2010 ed.


MEDIA REVIEWS

From the reviews:

"The book is divided in 34 short chapters including the introduction and a conclusion. ... Each chapter ends with some historical details on the mathematical authors who have been cited in the chapter. The book is surely interesting both from the mathematical point of view ... and for the historical background on homogenization theory, including H-convergence and Young measures. ... many mathematicians will learn how to use the key tools and to develop the basic but deep tools which can be used within this context." (Alain Brillard, Zentralblatt MATH, Vol. 1188, 2010)

"In his book Luc Tartar `re-animates' the historical genesis of one of the most important ideas in mathematical analysis of the last century, leading to a general theory of homogenization ... . a treasure trove for all those working in the field and those who want to get acquainted with it. ... it encourages young researchers to build on the material offered and develop new ideas. ... he or she will appreciate the author's effort to give a `full' and perhaps necessarily personalized picture."--- (Guenter Leugering, Mathematical Reviews, Issue 2011 c)

You may also be interested in...

Mathematics and Its History
Added to basket
Limits, Limits Everywhere
Added to basket
Calculus Made Easy
Added to basket
£38.99
Paperback
The Cartoon Guide to Calculus
Added to basket
Calculus Essentials for Dummies
Added to basket
Calculus
Added to basket
£41.99
Hardback
Schaum's Outline of Calculus
Added to basket
Tensor Calculus for Physics
Added to basket
A Brief Guide to the Great Equations
Added to basket
Calculus for the Ambitious
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.