Algebraic Groups and Differential Galois Theory is popular PDF and ePub book, written by Teresa Crespo in 2011, it is a fantastic choice for those who relish reading online the Differential algebraic groups genre. Let's immerse ourselves in this engaging Differential algebraic groups book by exploring the summary and details provided below. Remember, Algebraic Groups and Differential Galois Theory can be Read Online from any device for your convenience.
Algebraic Groups and Differential Galois Theory Book PDF Summary
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. This book is suitable for a graduate course in differential Galois theory. The last chapter contains several suggestions for further reading encouraging the reader to enter more deeply into different topics of differential Galois theory or related fields.
Detail Book of Algebraic Groups and Differential Galois Theory PDF
- Author : Teresa Crespo
- Release : 24 June 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821853184
- Genre : Differential algebraic groups
- Total Page : 242 pages
- Language : English
- PDF File Size : 18,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Algebraic Groups and Differential Galois Theory by Teresa Crespo, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.