Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté. Image fixe : sans médiation
Auteur(s) : Loomis, Lynn H. (1915-....)
Sternberg, Shlomo
Titre(s) : Advanced calculus [Texte imprimé] / Lynn Harold Loomis, Shlomo Sternberg,...
Édition : Revised ed.
Publication : Hackensack (N.J) : World Scientific, cop. 2014
Description matérielle : 1 vol. (580 p.) : ill. ; 26 cm
Note(s) : Bibliogr. p. 569-571
An authorised reissue of the long out of print classic textbook, Advanced Calculus
by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has
been a revered but hard to find textbook for the advanced calculus course for decades.
This book is based on an honors course in advanced calculus that the authors gave
in the 1960's. The foundational material, presented in the unstarred sections of Chapters
1 through 11, was normally covered, but different applications of this basic material
were stressed from year to year, and the book therefore contains more material than
was covered in any one year. It can accordingly be used (with omissions) as a text
for a year's course in advanced calculus, or as a text for a three-semester introduction
to analysis. The prerequisites are a good grounding in the calculus of one variable
from a mathematically rigorous point of view, together with some acquaintance with
linear algebra. The reader should be familiar with limit and continuity type arguments
and have a certain amount of mathematical sophistication. As possible introductory
texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol,
Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have
some experience with partial derivatives. In overall plan the book divides roughly
into a first half which develops the calculus (principally the differential calculus)
in the setting of normed vector spaces, and a second half which deals with the calculus
of differentiable manifolds.
Sujet(s) : Calcul infinitésimal
Indice(s) Dewey :
515 (23e éd.) = Analyse (mathématiques)
Identifiants, prix et caractéristiques : ISBN 9789814583923. - ISBN 9814583928 (rel.). - ISBN 9789814583930. - ISBN 9814583936
(br.)
Identifiant de la notice : ark:/12148/cb44283465f
Notice n° :
FRBNF44283465
(notice reprise d'un réservoir extérieur)
