On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises - Couverture souple
Synopsis
Un grand chercheur, écrivain et enseignant à une époque de ferment mathématique formidable, Felix Klein (1849-1925) occupe une place de choix dans l'histoire des mathématiques. Ses nombreux talents incluent une capacité à exprimer des idées mathématiques compliquées directement et complètement, et ce livre, une considération des enquêtes dans la première partie de la théorie des fonctions abéliennes de Riemann, est un excellent exemple de ses pouvoirs d'exposition.
Le traitement introduit l'approche de Riemann pour les fonctions à valeurs multiples et la représentation géométrique de ces fonctions par ce qui est devenu plus tard connu sous le nom de surfaces de Riemann. Il se concentre en outre sur les types de fonctions qui peuvent être définies sur ces surfaces, confinant le traitement aux fonctions rationnelles et à leurs intégrales. Le texte montre ensuite comment les idées mathématiques de Riemann sur les intégrales abéliennes peuvent être obtenues en pensant en termes de flux de courant électrique sur les surfaces. La principale préoccupation de Klein est de préserver la séquence de la pensée et d'offrir des explications intuitives des notions de Riemann, plutôt que de fournir des preuves détaillées. Profondément significatif dans le domaine des fonctions complexes, ce travail constitue l'une des meilleures introductions aux origines des problèmes topologiques
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Présentation de l'éditeur
A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (1849 1925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, is a prime example of his expository powers.
The treatment introduces Riemann's approach to multiple-value functions and the geometrical representation of these functions by what later became known as Riemann surfaces. It further concentrates on the kinds of functions that can be defined on these surfaces, confining the treatment to rational functions and their integrals. The text then demonstrates how Riemann's mathematical ideas about Abelian integrals can be arrived at by thinking in terms of the flow of electric current on surfaces. Klein's primary concern is preserving the sequence of thought and offering intuitive explanations of Riemann's notions, rather than furnishing detailed proofs. Deeply significant in the area of complex functions, this work constitutes one of the best introductions to the origins of topological problems.
Biographie de l'auteur
One of the greatest German mathematicians of his era, Felix Klein (1849 1925) taught at the University of Göttingen from 1887 until his retirement in 1913. He made major contributions to many areas of mathematics, including group theory, complex analysis, and non-Euclidean geometry. Dover also publishes Klein's classic two-volume work, Elementary Mathematics from an Advanced Standpoint, part one of which focuses on geometry and part two on arithmetic, algebra, and analysis.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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On Riemann's Theory of Algebraic Functions and Their Integrals (Paperback)
Edité par
Dover Publications Inc., New York, 2018
ISBN 10 : 0486828336
ISBN 13 : 9780486828336
Neuf
Paperback
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Paperback. Etat : new. Paperback. A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (18491925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, is a prime example of his expository powers. The treatment introduces Riemann's approach to multiple-value functions and the geometrical representation of these functions by what later became known as Riemann surfaces. It further concentrates on the kinds of functions that can be defined on these surfaces, confining the treatment to rational functions and their integrals. The text then demonstrates how Riemann's mathematical ideas about Abelian integrals can be arrived at by thinking in terms of the flow of electric current on surfaces. Klein's primary concern is preserving the sequence of thought and offering intuitive explanations of Riemann's notions, rather than furnishing detailed proofs. Deeply significant in the area of complex functions, this work constitutes one of the best introductions to the origins of topological problems. AUTHOR: One of the greatest German mathematicians of his era, Felix Klein (18491925) taught at the University of Gottingen from 1887 until his retirement in 1913. He made major contributions to many areas of mathematics, including group theory, complex analysis, and non-Euclidean geometry. Dover also publishes Klein's classic two-volume work, Elementary Mathematics from an Advanced Standpoint, part one of which focuses on geometry and part two on arithmetic, algebra, and analysis. Focusing on functions defined on Riemann surfaces, this text demonstrates how Riemann's ideas about Abelian integrals can be arrived in terms of the flow of electric current on surfaces. 1893 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780486828336
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On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises
Edité par
Dover Publications, 2018
ISBN 10 : 0486828336
ISBN 13 : 9780486828336
Ancien ou d'occasion
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Paperback. Etat : As New. No Jacket. Pages are clean and are not marred by notes or folds of any kind. ~ ThriftBooks: Read More, Spend Less. N° de réf. du vendeur G0486828336I2N00
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On Riemann's Theory of Algebraic Functions and Their Integrals (Paperback)
Edité par
Dover Publications Inc., New York, 2018
ISBN 10 : 0486828336
ISBN 13 : 9780486828336
Neuf
Paperback
Vendeur : AussieBookSeller, Truganina, VIC, Australie
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : new. Paperback. A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (18491925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, is a prime example of his expository powers. The treatment introduces Riemann's approach to multiple-value functions and the geometrical representation of these functions by what later became known as Riemann surfaces. It further concentrates on the kinds of functions that can be defined on these surfaces, confining the treatment to rational functions and their integrals. The text then demonstrates how Riemann's mathematical ideas about Abelian integrals can be arrived at by thinking in terms of the flow of electric current on surfaces. Klein's primary concern is preserving the sequence of thought and offering intuitive explanations of Riemann's notions, rather than furnishing detailed proofs. Deeply significant in the area of complex functions, this work constitutes one of the best introductions to the origins of topological problems. AUTHOR: One of the greatest German mathematicians of his era, Felix Klein (18491925) taught at the University of Gottingen from 1887 until his retirement in 1913. He made major contributions to many areas of mathematics, including group theory, complex analysis, and non-Euclidean geometry. Dover also publishes Klein's classic two-volume work, Elementary Mathematics from an Advanced Standpoint, part one of which focuses on geometry and part two on arithmetic, algebra, and analysis. Focusing on functions defined on Riemann surfaces, this text demonstrates how Riemann's ideas about Abelian integrals can be arrived in terms of the flow of electric current on surfaces. 1893 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 9780486828336
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On Riemann's Theory of Algebraic Functions and Their Integrals (Paperback)
Edité par
Dover Publications Inc., New York, 2018
ISBN 10 : 0486828336
ISBN 13 : 9780486828336
Neuf
Paperback
Vendeur : CitiRetail, Stevenage, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : new. Paperback. A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (18491925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, is a prime example of his expository powers. The treatment introduces Riemann's approach to multiple-value functions and the geometrical representation of these functions by what later became known as Riemann surfaces. It further concentrates on the kinds of functions that can be defined on these surfaces, confining the treatment to rational functions and their integrals. The text then demonstrates how Riemann's mathematical ideas about Abelian integrals can be arrived at by thinking in terms of the flow of electric current on surfaces. Klein's primary concern is preserving the sequence of thought and offering intuitive explanations of Riemann's notions, rather than furnishing detailed proofs. Deeply significant in the area of complex functions, this work constitutes one of the best introductions to the origins of topological problems. AUTHOR: One of the greatest German mathematicians of his era, Felix Klein (18491925) taught at the University of Gottingen from 1887 until his retirement in 1913. He made major contributions to many areas of mathematics, including group theory, complex analysis, and non-Euclidean geometry. Dover also publishes Klein's classic two-volume work, Elementary Mathematics from an Advanced Standpoint, part one of which focuses on geometry and part two on arithmetic, algebra, and analysis. Focusing on functions defined on Riemann surfaces, this text demonstrates how Riemann's ideas about Abelian integrals can be arrived in terms of the flow of electric current on surfaces. 1893 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780486828336
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