"Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there.Every section of the book has a number of good exercises thatwould make this book excellent to use either as a textbook or to learn the material on your own. All in all.a well-written expository account of a very exciting area in mathematics." --THE MAA MATHEMATICAL SCIENCES DIGITAL LIBRARY. INDICE: Preface.- Preliminaries.- Polynomials.- Field Extensions.- Algebraic Independence.- Separability.- Galois Theory I.- Galois Theory II.- A Field Extension as a Vector Space.- Finite Fields I: Basic Properties.- Finite Fields II: Additional Properties.- The Roots of Unity.- Cyclic Extensions.- Solvable Extensions.- Binomials.- Families of Binomials.- Mobius Inversion.- References.- Index of Symbols.- Index.
- ISBN: 978-1-4419-2095-9
- Editorial: Springer
- Encuadernacion: Rústica
- Fecha Publicación: 31/03/2012
- Nº Volúmenes: 1
- Idioma: Inglés
- Inicio /
- MATEMÁTICAS /
- ÁLGEBRA