Elliptic Integrals and Elliptic Functions

Takebe, Takashi

ISBN 10: 3031302664 ISBN 13: 9783031302664
Verlag: Springer, 2023
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This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. These examples form prototypes of major ideas in modern mathematics and were a driving force of the subject in the eighteenth and nineteenth centuries. In addition to giving an account of the main topics of the theory, the book also describes many applications, both in mathematics and in physics. For the reader's convenience, all necessary preliminaries on basic notions such as Riemann surfaces are explained to a level sufficient to read the book.

For each notion a clear motivation is given for its study, answering the question 'Why do we consider such objects?', and the theory is developed in a natural way that mirrors its historical development (e.g., 'If there is such and such an object, then you would surely expect this one'). This feature sets this text apart from other books on the same theme, which are usually presented in a different order. Throughout, the concepts are augmented and clarified by numerous illustrations.

Suitable for undergraduate and graduate students of mathematics, the book will also be of interest to researchers who are not familiar with elliptic functions and integrals, as well as math enthusiasts.


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Titel: Elliptic Integrals and Elliptic Functions
Verlag: Springer
Erscheinungsdatum: 2023
Einband: Softcover
Zustand: New

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Takebe, Takashi
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Takashi Takebe
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. These examples form prototypes of major ideas in modern mathematics and were a driving force of the subject in the eighteenth and nineteenth centuries. In addition to giving an account of the main topics of the theory, the book also describes many applications, both in mathematics and in physics. For the reader's convenience, all necessary preliminaries on basic notions such as Riemann surfaces are explained to a level sufficient to read the book.For each notion a clear motivation is given for its study, answering the question 'Why do we consider such objects ', and the theory is developed in a natural way that mirrors its historical development (e.g., 'If there is such and such an object, then you would surely expect this one'). This feature sets this text apart from other books on the same theme, which are usually presented in a different order. Throughout, the concepts are augmented and clarified by numerous illustrations. Suitable for undergraduate and graduate students of mathematics, the book will also be of interest to researchers who are not familiar with elliptic functions and integrals, as well as math enthusiasts. 340 pp. Englisch. Bestandsnummer des Verkäufers 9783031302671

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Taschenbuch. Zustand: Neu. Elliptic Integrals and Elliptic Functions | Takashi Takebe | Taschenbuch | Moscow Lectures | xi | Englisch | 2024 | Springer | EAN 9783031302671 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 129657124

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. These examples form prototypes of major ideas in modern mathematics and were a driving force of the subject in the eighteenth and nineteenth centuries. In addition to giving an account of the main topics of the theory, the book also describes many applications, both in mathematics and in physics. For the reader's convenience, all necessary preliminaries on basic notions such as Riemann surfaces are explained to a level sufficient to read the book.For each notion a clear motivation is given for its study, answering the question 'Why do we consider such objects ', and the theory is developed in a natural way that mirrors its historical development (e.g., 'If there is such and such an object, then you would surely expect this one'). This feature sets this text apart from other books on the same theme, which are usually presented in a different order. Throughout, the concepts are augmented and clarified by numerous illustrations. Suitable for undergraduate and graduate students of mathematics, the book will also be of interest to researchers who are not familiar with elliptic functions and integrals, as well as math enthusiasts. Bestandsnummer des Verkäufers 9783031302671

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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. These examples form prototypes of major ideas in modern mathematics and were a driving force of the subject in the eighteenth and nineteenth centuries. In addition to giving an account of the main topics of the theory, the book also describes many applications, both in mathematics and in physics. For the readers convenience, all necessary preliminaries on basic notions such as Riemann surfaces are explained to a level sufficient to read the book.For each notion a clear motivation is given for its study, answering the question Why do we consider such objects , and the theory is developed in a natural way that mirrors its historical development (e.g., If there is such and such an object, then you would surely expect this one). This feature sets this text apart from other books on the same theme, which are usually presented in a different order. Throughout, the concepts are augmented and clarified by numerous illustrations. Suitable for undergraduate and graduate students of mathematics, the book will also be of interest to researchers who are not familiar with elliptic functions and integrals, as well as math enthusiasts.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 340 pp. Englisch. Bestandsnummer des Verkäufers 9783031302671

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Takebe, Takashi
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Paperback. Zustand: new. Paperback. This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. These examples form prototypes of major ideas in modern mathematics and were a driving force of the subject in the eighteenth and nineteenth centuries. In addition to giving an account of the main topics of the theory, the book also describes many applications, both in mathematics and in physics. For the readers convenience, all necessary preliminaries on basic notions such as Riemann surfaces are explained to a level sufficient to read the book.For each notion a clear motivation is given for its study, answering the question Why do we consider such objects?, and the theory is developed in a natural way that mirrors its historical development (e.g., If there is such and such an object, then you would surely expect this one). This feature sets this text apart from other books on the same theme, which are usually presented in a different order. Throughout, the concepts are augmented and clarified by numerous illustrations. Suitable for undergraduate and graduate students of mathematics, the book will also be of interest to researchers who are not familiar with elliptic functions and integrals, as well as math enthusiasts. This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9783031302671

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