Algebraic Numbers and Algebraic Functions
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A01=P.M. Cohn
advanced algebraic structures
Age Group_Uncategorized
Age Group_Uncategorized
Algebraic Extension
Algebraic Integers
Algebraic Number
Algebraic Number Field
Author_P.M. Cohn
automatic-update
Category1=Non-Fiction
Category=PBH
Cauchy Sequence
class
class number finiteness
Convex Subgroup
COP=United Kingdom
Dedekind Domain
Delivery_Pre-order
divisor class groups
eq_isMigrated=2
eq_nobargain
field
Finite Algebraic Extension
Formal Laurent Series
Fractional Ideal
Free Abelian
function field arithmetic
Galois Extension
Gaussian Integers
global fields
Language_English
Linearly Independent
Maximal Ideal
Minimal Polynomial
Minimal Prime Ideal
P. M. Cohn
PA=Temporarily unavailable
Pid
Price_€100 and above
PS=Active
Quadratic Extension
Rational Function Field
residue
Residue Class Field
Residue Degree
softlaunch
Strong Approximation Theorem
UFD
unit theorem
Valuation Ring
valuation theory
Product details
- ISBN 9781315890487
- Weight: 540g
- Dimensions: 152 x 229mm
- Publication Date: 29 Nov 2017
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
- Language: English
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This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In function theory the aim is the Abel-Jacobi theorem describing the devisor class group, with occasional geometrical asides to help understanding. Assuming only an undergraduate course in algebra, plus a little acquaintance with topology and complex function theory, the book serves as an introduction to more technical works in algebraic number theory, function theory or algebraic geometry by an exposition of the central themes in the subject.
