@article{1471798,
      recid = {1471798},
      author = {Takebe, Takashi.},
      title = {Elliptic integrals and elliptic functions /},
      publisher = {Springer,},
      address = {Cham :},
      pages = {1 online resource (329 p.).},
      year = {2023},
      note = {Description based upon print version of record.},
      abstract = {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. .},
      url = {http://library.usi.edu/record/1471798},
      doi = {https://doi.org/10.1007/978-3-031-30265-7},
}