000 02543nam a22003738i 4500
001 CR9780511569234
003 UkCbUP
005 20200124160236.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090520s1987||||enk o ||1 0|eng|d
020 _a9780511569234 (ebook)
020 _z9780521332446 (hardback)
020 _z9780521348768 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA316
_b.S35 1987
082 0 0 _a511/.66
_219
100 1 _aSewell, M. J.
_q(Michael J.),
_d1934-
_eauthor.
245 1 0 _aMaximum and minimum principles :
_ba unified approach, with applications /
_cM.J. Sewell.
246 3 _aMaximum & Minimum Principles
264 1 _aCambridge :
_bCambridge University Press,
_c1987.
300 _a1 online resource (xvi, 468 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge texts in applied mathematics ;
_v1
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aSaddle function problems -- Duality and legendre transformations -- Upper and lower bounds via saddle functionals -- Extensions of the general approach -- Mechanics of solids and fluids.
520 _aIn many problems of applied mathematics, science, engineering or economics, an energy expenditure or its analogue can be approximated by upper and lower bounds. This book provides a unified account of the theory required to establish such bounds, by expressing the governing conditions of the problem, and the bounds, in terms of a saddle functional and its gradients. There are several features, including a chapter on the Legendre dual transformation and some of its singularities. Many substantial examples and exercises are included, especially from the mechanics of fluids, elastic and plastic solids and from optimisation theory. The saddle functional viewpoint gives the book a wide scope. The treatment is straightforward, the only prerequisite being a basic knowledge of the calculus of variations. Part of the book is based on final-year undergraduate courses. This is developed into an account which will interest a wide range of students and professionals in applied mathematics, engineering, physics and operations research.
650 0 _aMaxima and minima.
776 0 8 _iPrint version:
_z9780521332446
830 0 _aCambridge texts in applied mathematics ;
_v1.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511569234
999 _c518080
_d518078