A Field Guide to Algebra

• Κύριος συγγραφέας: Chambert-Loir, Antoine (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2005.
• Σειρά: Undergraduate Texts in Mathematics,
• Θέματα: Mathematics.; Algebra.; Commutative algebra.; Commutative rings.; Field theory (Physics).; Number theory.; Field Theory and Polynomials.; Number Theory.; Commutative Rings and Algebras.

This unique textbook focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. The reader will h...

Πίνακας περιεχομένων:

• Field extensions
• Roots
• Galois theory
• A bit of group theory
• Applications
• Algebraic theory of differential equations.