Complex Analysis / BOUDREF Mohamed-Ahmed (2024) / 978-9931-06-116-8

Public ISBD Titre : Complex Analysis : cours notes and application examples Type de document : texte imprimé Auteurs : BOUDREF Mohamed-Ahmed, Auteur Editeur : BORDJ BOUARRERRIDJ [Algérie] : KHAYAL ÉDITION Année de publication : 2024 Importance : 152p Format : 21*29 ISBN/ISSN/EAN : 978-9931-06-116-8 Langues : Anglais (eng) Catégories : 517- Analyse mathématique Index. décimale : 517 Analyse Mathématiques Résumé : Mathematical analysis is a vast field related to the notions of function, derivative and integral. At the present time, it embraces a more restricted number of domains: differential equations (ordinary or with partial derivatives), integral equations, differential geometry, functions of complex variables, etc. In this handout, I propose to fill some known gaps and expose the fundamental methods of the theory of functions of a complex variable. This handout is intended for students of the second mathematics and physics licenses as well as those who are studying tech nical engineering. The reader is assumed to know the elements of undergraduate mathematical analysis. This handout is organized into nine topics, each topic deals with a part of complex analysis, starting with the algebra of complex numbers until the last topic which deals with the use of the residue theorem in the calculation of improper integrals. This handout contains many examples of applications of function theory to physical problems. I dedicate this work to the entire university community and to my students. Complex Analysis : cours notes and application examples [texte imprimé] / BOUDREF Mohamed-Ahmed, Auteur . - BORDJ BOUARRERRIDJ [Algérie] : KHAYAL ÉDITION, 2024 . - 152p ; 21*29. ISBN : 978-9931-06-116-8 Langues : Anglais (eng) Catégories : 517- Analyse mathématique Index. décimale : 517 Analyse Mathématiques Résumé : Mathematical analysis is a vast field related to the notions of function, derivative and integral. At the present time, it embraces a more restricted number of domains: differential equations (ordinary or with partial derivatives), integral equations, differential geometry, functions of complex variables, etc. In this handout, I propose to fill some known gaps and expose the fundamental methods of the theory of functions of a complex variable. This handout is intended for students of the second mathematics and physics licenses as well as those who are studying tech nical engineering. The reader is assumed to know the elements of undergraduate mathematical analysis. This handout is organized into nine topics, each topic deals with a part of complex analysis, starting with the algebra of complex numbers until the last topic which deals with the use of the residue theorem in the calculation of improper integrals. This handout contains many examples of applications of function theory to physical problems. I dedicate this work to the entire university community and to my students.

Exemplaires(4)

Code-barres	Date d'acquisition	Origine	Cote	Support	Localisation	Section	Disponibilité
001	517 BOU1	Livre	BIB-SE	BIB-SE	Disponible	15/02/2025
002	517 BOU2	Livre	BIB-SE	BIB-SE	Disponible	15/02/2025
003	517 BOU3	Livre	BIB-SE	BIB-SE	Disponible	15/02/2025
004	517 BOU4	Livre	BIB-SE	BIB-SE	Disponible	15/02/2025

Principles of Analysis / Hugo D. Junghenn (2022) / 978-1-03-247621-6

Public ISBD Titre : Principles of Analysis : Measure, Integration, Functional Analysis, and Applications Type de document : texte imprimé Auteurs : Hugo D. Junghenn, Auteur Editeur : new york [LONDON] : Chapman and Hall/CRC Année de publication : 2022 Importance : 520p. Présentation : couv:ill. Format : 25cm ISBN/ISSN/EAN : 978-1-03-247621-6 Langues : Anglais (eng) Mots-clés : Algebaic structure, metric spaces , topological apaces,.... Index. décimale : 517 Analyse Mathématiques Résumé : Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers’ benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis.The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter . Principles of Analysis : Measure, Integration, Functional Analysis, and Applications [texte imprimé] / Hugo D. Junghenn, Auteur . - new york [LONDON] : Chapman and Hall/CRC, 2022 . - 520p. : couv:ill. ; 25cm. ISBN : 978-1-03-247621-6 Langues : Anglais (eng) Mots-clés : Algebaic structure, metric spaces , topological apaces,.... Index. décimale : 517 Analyse Mathématiques Résumé : Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers’ benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis.The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter .

Exemplaires(1)

Code-barres	Date d'acquisition	Origine	Cote	Support	Localisation	Section	Disponibilité
FFSA7415	517.5 JUN1	Livre	BIB-SE	BIB-SE	Disponible	31/12/2024

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