Synopsis
Ce texte très apprécié est destiné aux étudiants avancés de premier cycle et aux étudiants diplômés en mathématiques qui souhaitent développer une base solide dans la théorie des fonctions d'une variable complexe. Le traitement s'écarte des présentations traditionnelles dans son développement précoce d'une discussion rigoureuse de la théorie des fonctions analytiques à valeurs multiples sur la base de la continuation analytique. Ainsi, il offre une introduction précoce des surfaces Riemann, de la cartographie conforme et des applications de la théorie des résidus. M. A. Evgrafov se concentre sur les aspects de la théorie qui se rapportent à la recherche moderne et assume une connaissance des bases de l'analyse mathématique dérivée d'une année de calcul avancé.
En commençant par un chapitre d'introduction contenant les résultats fondamentaux concernant les limites, la continuité et les intégrales, le livre aborde les fonctions analytiques et leurs propriétés, les fonctions analytiques à valeurs multiples, les points singuliers et l'expansion en série, la transformation de Laplace, les fonctions harmoniques et subharmoniques, les problèmes extrêmes et la distribution des valeurs, et d'autres sujets. Les chapitres sont largement autonomes, ce qui rend ce volume tout aussi adapté pour la salle de classe ou l'étude indépendante
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Analytic Functions
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Dover Publications, Mineola , NY, 2019
ISBN 10 : 0486837602
ISBN 13 : 9780486837604
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Softcover. Etat : Very Good. Reprint. Addresses analytic functions and their properties. Directed toward advanced undergrads and grad students in mathematics. Nice, clean copy. Unread. ; 8vo 8" - 9" tall; 336 pages. N° de réf. du vendeur 23030
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Analytic Functions
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ISBN 13 : 9780486837604
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Analytic Functions (Paperback)
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Dover Publications Inc., New York, 2019
ISBN 10 : 0486837602
ISBN 13 : 9780486837604
Neuf
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Paperback. Etat : new. Paperback. This highly regarded text is directed toward advanced undergraduates and graduate students in mathematics who are interested in developing a firm foundation in the theory of functions of a complex variable. The treatment departs from traditional presentations in its early development of a rigorous discussion of the theory of multiple-valued analytic functions on the basis of analytic continuation. Thus it offers an early introduction of Riemann surfaces, conformal mapping, and the applications of residue theory. M. A. Evgrafov focuses on aspects of the theory that relate to modern research and assumes an acquaintance with the basics of mathematical analysis derived from a year of advanced calculus. Starting with an introductory chapter containing the fundamental results concerning limits, continuity, and integrals, the book addresses analytic functions and their properties, multiple-valued analytic functions, singular points and expansion in series, the Laplace transform, harmonic and subharmonic functions, extremal problems and distribution of values, and other subjects. Chapters are largely self-contained, making this volume equally suitable for the classroom or independent study. AUTHOR: Russian-Soviet mathematician Marat Andreevich Evgrafov (192697) served on the faculty of the Moscow Physical-Technical Institute. He is also the author of Asymptotic Estimates and Entire Functions. Highly regarded text explores analytic functions, singular points and expansion in series, conformal mappings, theory of residues, Laplace transform, harmonic and subharmonic functions, extremal problems, distribution of values, more. 1966 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780486837604
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Analytic Functions
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ISBN 10 : 0486837602
ISBN 13 : 9780486837604
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ISBN 13 : 9780486837604
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Analytic Functions (Paperback)
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Dover Publications Inc., New York, 2019
ISBN 10 : 0486837602
ISBN 13 : 9780486837604
Neuf
Paperback
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Paperback. Etat : new. Paperback. This highly regarded text is directed toward advanced undergraduates and graduate students in mathematics who are interested in developing a firm foundation in the theory of functions of a complex variable. The treatment departs from traditional presentations in its early development of a rigorous discussion of the theory of multiple-valued analytic functions on the basis of analytic continuation. Thus it offers an early introduction of Riemann surfaces, conformal mapping, and the applications of residue theory. M. A. Evgrafov focuses on aspects of the theory that relate to modern research and assumes an acquaintance with the basics of mathematical analysis derived from a year of advanced calculus. Starting with an introductory chapter containing the fundamental results concerning limits, continuity, and integrals, the book addresses analytic functions and their properties, multiple-valued analytic functions, singular points and expansion in series, the Laplace transform, harmonic and subharmonic functions, extremal problems and distribution of values, and other subjects. Chapters are largely self-contained, making this volume equally suitable for the classroom or independent study. AUTHOR: Russian-Soviet mathematician Marat Andreevich Evgrafov (192697) served on the faculty of the Moscow Physical-Technical Institute. He is also the author of Asymptotic Estimates and Entire Functions. Highly regarded text explores analytic functions, singular points and expansion in series, conformal mappings, theory of residues, Laplace transform, harmonic and subharmonic functions, extremal problems, distribution of values, more. 1966 edition. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780486837604
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ISBN 10 : 0486837602
ISBN 13 : 9780486837604
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Paperback. Etat : new. Paperback. This highly regarded text is directed toward advanced undergraduates and graduate students in mathematics who are interested in developing a firm foundation in the theory of functions of a complex variable. The treatment departs from traditional presentations in its early development of a rigorous discussion of the theory of multiple-valued analytic functions on the basis of analytic continuation. Thus it offers an early introduction of Riemann surfaces, conformal mapping, and the applications of residue theory. M. A. Evgrafov focuses on aspects of the theory that relate to modern research and assumes an acquaintance with the basics of mathematical analysis derived from a year of advanced calculus. Starting with an introductory chapter containing the fundamental results concerning limits, continuity, and integrals, the book addresses analytic functions and their properties, multiple-valued analytic functions, singular points and expansion in series, the Laplace transform, harmonic and subharmonic functions, extremal problems and distribution of values, and other subjects. Chapters are largely self-contained, making this volume equally suitable for the classroom or independent study. AUTHOR: Russian-Soviet mathematician Marat Andreevich Evgrafov (192697) served on the faculty of the Moscow Physical-Technical Institute. He is also the author of Asymptotic Estimates and Entire Functions. Highly regarded text explores analytic functions, singular points and expansion in series, conformal mappings, theory of residues, Laplace transform, harmonic and subharmonic functions, extremal problems, distribution of values, more. 1966 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780486837604
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