یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general theories, computational aspects, model theoretic approaches, applications to classical and quantum mechanics as well as to other mathematical areas such as number theory. This book intends to introduce the reader to this subject by presenting Picard-Vessiot theory, i.e. Galois theory of linear differential equations, in a self-contained way. The needed prerequisites from algebraic geometry and algebraic groups are contained in the first two parts of the book. The third part includes Picard-Vessiot extensions, the fundamental theorem of Picard-Vessiot theory, solvability by quadratures, Fuchsian equations, monodromy group and Kovacic's algorithm. Over one hundred exercises will help to assimilate the concepts and to introduce the reader to some topics beyond the scope of this book."--Publisher's description
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Differential algebraic groups
موضوع مستند نشده
Galois theory
موضوع مستند نشده
Morphisms (Mathematics)
رده بندی ديویی
شماره
515/
.
354
ويراست
22
رده بندی کنگره
شماره رده
QA247
.
4
نشانه اثر
.
C74
2011
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )