000 02289nam a22003498i 4500
001 CR9780511897191
003 UkCbUP
005 20200124160331.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 101123s1980||||enk o ||1 0|eng|d
020 _a9780511897191 (ebook)
020 _z9780521224208 (hardback)
020 _z9780521090308 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA304
_b.F57 1980
082 0 0 _a515/.33
_218
100 1 _aFlett, T. M.,
_eauthor.
245 1 0 _aDifferential analysis :
_bdifferentiation, differential equations, and differential inequalities /
_cT.M. Flett.
264 1 _aCambridge :
_bCambridge University Press,
_c1980.
300 _a1 online resource (vii, 359 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aT. M. Flett was a Professor of Pure Mathematics at the University of Sheffield from 1967 until his death in 1976. This book, which he had almost finished, has been edited for publication by Professor J. S. Pym. This text is a treatise on the differential calculus of functions taking values in normed spaces. The exposition is essentially elementary, though on are occasions appeal is made to deeper results. The theory of vector-valued functions of one real variable is particularly straightforward, and this forms the substance of the initial chapter. A large part of the book is devoted to applications. An extensive study is made of ordinary differential equations. Extremum problems for functions of a vector variable lead to the calculus of variations and general optimisation problems. Other applications include the geometry of tangents and the Newton-Kantorovich method in normed spaces. The three historical notes show how the masters of the past (Cauchy, Peano...) created the subject by examining in depth the evolution of certain theories and proofs.
650 0 _aDifferential calculus.
650 0 _aDifferential equations.
650 0 _aDifferential inequalities.
776 0 8 _iPrint version:
_z9780521224208
856 4 0 _uhttps://doi.org/10.1017/CBO9780511897191
999 _c522618
_d522616