以下、裏表紙より転載いたします。新修版 輓近高等数学講座 1~35 (36冊)。 This book is the first comprehensive treatment of Painlev differential equations in the complex plane. Starting with a rigorous presentation for the meromorphic nature of their solutions, the Nevanlinna theory will be applied to offer a detailed exposition of growth aspects and value distri- bution of Painlev transcendents. The subsequent main part of the book is devoted to topics of classical background such as representations and expansions of solutions, solutions of special type like rational and special transcendental solutions, Bcklund transformations and higher order analogues, treated separately for each of these six equations. The final chapter offers a short overview of applications of Painlev equations, including an introduction to their discrete counterparts. Due to the present important role of Painlev equations in physical ap- plications, this monograph should be of interest to mathematicians and physicists both in research and in postgraduate studies.
それ以外には、書き込み汚れ無く、新品に近い美本です。確率論ハンドブック/伊藤清【企画・監修】,渡辺信三,重川一郎【編】。
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以下、裏表紙より転載いたします。新修版 輓近高等数学講座 1~35 (36冊)。
This book is the first comprehensive treatment of Painlev differential
equations in the complex plane. Starting with a rigorous presentation for
the meromorphic nature of their solutions, the Nevanlinna theory will be
applied to offer a detailed exposition of growth aspects and value distri-
bution of Painlev transcendents. The subsequent main part of the book
is devoted to topics of classical background such as representations and
expansions of solutions, solutions of special type like rational and special
transcendental solutions, Bcklund transformations and higher order
analogues, treated separately for each of these six equations. The final
chapter offers a short overview of applications of Painlev equations,
including an introduction to their discrete counterparts.
Due to the present important role of Painlev equations in physical ap-
plications, this monograph should be of interest to mathematicians and
physicists both in research and in postgraduate studies.