Topological Galois Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Galois Theory write by Askold Khovanskii. This book was released on 2014-10-10. Topological Galois Theory available in PDF, EPUB and Kindle. This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard–Vessiot theory, and Liouville's results on the class of functions representable by quadratures are also discussed. A unique feature of this book is that recent results are presented in the same elementary manner as classical Galois theory, which will make the book useful and interesting to readers with varied backgrounds in mathematics, from undergraduate students to researchers. In this English-language edition, extra material has been added (Appendices A–D), the last two of which were written jointly with Yura Burda.
Galois Theory, Coverings, and Riemann Surfaces
Galois Theory, Coverings, and Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Theory, Coverings, and Riemann Surfaces write by Askold Khovanskii. This book was released on 2013-09-11. Galois Theory, Coverings, and Riemann Surfaces available in PDF, EPUB and Kindle. The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric description of finite algebraic extensions of the field of meromorphic functions on a Riemann surface and provides an introduction to the topological Galois theory developed by the author. All results are presented in the same elementary and self-contained manner as classical Galois theory, making this book both useful and interesting to readers with a variety of backgrounds in mathematics, from advanced undergraduate students to researchers.
Galois Theories
Galois Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Theories write by Francis Borceux. This book was released on 2001-02-22. Galois Theories available in PDF, EPUB and Kindle. Develops Galois theory in a more general context, emphasizing category theory.
Galois Groups and Fundamental Groups
Galois Groups and Fundamental Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Groups and Fundamental Groups write by Tamás Szamuely. This book was released on 2009-07-16. Galois Groups and Fundamental Groups available in PDF, EPUB and Kindle. Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.
Topics in Galois Theory
Topics in Galois Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topics in Galois Theory write by Jean-Pierre Serre. This book was released on 2016-04-19. Topics in Galois Theory available in PDF, EPUB and Kindle. This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt constructi
