الفهرس الالي لمكتبة كلية العلوم و علوم التكنولوجيا

Titre de série :	Functions of one complex variable, 1
Titre :	Functions of one complex variable : with 30 illustrations
Type de document :	texte imprimé
Auteurs :	John B. Conway, Auteur
Mention d'édition :	second ed.
Editeur :	New York : Springer
Année de publication :	1978
Collection :	Graduate texts in mathematics, ISSN 0072-5285 num. 11
Importance :	XIII-317 p.
Présentation :	ill.
Format :	18x25 cm.
ISBN/ISSN/EAN :	978-0-387-90328-6
Note générale :	Bibliogr. p. 311-312. Index appendix a:calculs for complex valued functions on an interval appendix b:suggestions for further study and bibliographical notes references index list of symbols
Langues :	Anglais (eng)
Mots-clés :	Functions of one complex variable  the complex number system  metric spacecomplex integration  singularitics  compactness and convergence  harmonic functions  entire functions
Index. décimale :	515
Résumé :	This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre- requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ- entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe- matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.sommaire: 1-the complex number system 2-metric spaces and the topology of c 3-elementary properties and exemples of analytic functions 4-complex integration 5-singularities 6-the maximum modulus theorem 7-compactness and convergence in the space of analytic functions 8-runge's theorem 9-analytic continuation and riemann surfaces 10-harmonic functions 11-entire functions 12-the range of an analytic function 8-
Note de contenu :	Éditeur : Springer-Verlag New York Inc.; 2nd ed. 1978. Corr. 7th printing 1995 édition (7 avril 1995) Langue : Anglais Relié : 322 pages ISBN-10 : 0387903283 ISBN-13 : 978-0387903286 Poids de l'article : 1.44 kg Dimensions : 15.6 x 2.06 x 23.39 cm

Functions of one complex variable, 1. Functions of one complex variable : with 30 illustrations [texte imprimé] / John B. Conway, Auteur  . -  second ed. . - New York : Springer, 1978 . - XIII-317 p. : ill. ; 18x25 cm.. - (Graduate texts in mathematics, ISSN 0072-5285; 11) .
ISBN : 978-0-387-90328-6
Bibliogr. p. 311-312. Index
appendix a:calculs for complex valued functions on an interval
appendix b:suggestions for further study and bibliographical notes
references
index
list of symbols
Langues : Anglais (eng)

Mots-clés :	Functions of one complex variable  the complex number system  metric spacecomplex integration  singularitics  compactness and convergence  harmonic functions  entire functions
Index. décimale :	515
Résumé :	This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre- requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ- entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe- matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.sommaire: 1-the complex number system 2-metric spaces and the topology of c 3-elementary properties and exemples of analytic functions 4-complex integration 5-singularities 6-the maximum modulus theorem 7-compactness and convergence in the space of analytic functions 8-runge's theorem 9-analytic continuation and riemann surfaces 10-harmonic functions 11-entire functions 12-the range of an analytic function 8-
Note de contenu :	Éditeur : Springer-Verlag New York Inc.; 2nd ed. 1978. Corr. 7th printing 1995 édition (7 avril 1995) Langue : Anglais Relié : 322 pages ISBN-10 : 0387903283 ISBN-13 : 978-0387903286 Poids de l'article : 1.44 kg Dimensions : 15.6 x 2.06 x 23.39 cm