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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Elliptic Integrals and Elliptic Functions
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Elliptic Integrals and Elliptic Functions
Takashi Takebe (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
11.07.2023
Sprache
Englisch
EAN
9783031302640
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Moscow Lectures
Sonderedition
Nein
Autor
Takashi Takebe
Seitenanzahl
328
Einbandart
Gebundene Ausgabe
Autorenporträt
Takashi TAKEBE is a professor at the Faculty of Mathematics, National Research University Higher School of Economics, Moscow. He studies integrable systems in mathematical physics, especially integrable nonlinear differential equations, their connection with complex analysis and solvable lattice models in statistical mechanics related to elliptic R-matrices.
Schlagwörter
elliptic functions, elliptic integrals, complex analysis, application to physics, Riemann surfaces, elliptic curves, Abel-Jacobi theorem, addition theorems, theta functions
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
PHU - Mathematische Physik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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