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Book Summary
About the Book: Algebraic Number Theory
Algebraic number theory is the branch of number theory that deals with algebraic
numbers. Historically, algebraic number theory developed as a set of tools for
solving problems in elementary number theory, namely Diophantine equations
(i.e., equations whose solutions are integers or rational numbers). More
recently, algebraic number theory has developed into the abstract study of
algebraic numbers and number fields themselves, as well as their properties.
Algebraic number theory is a major branch of number theory that studies
algebraic structures related to algebraic integers. This is generally
accomplished by considering a ring of algebraic integers O in an algebraic
number field K/Q, and
About the Book: Algebraic Number Theory
Algebraic number theory is the branch of number theory that deals with algebraic
numbers. Historically, algebraic number theory developed as a set of tools for
solving problems in elementary number theory, namely Diophantine equations
(i.e., equations whose solutions are integers or rational numbers). More
recently, algebraic number theory has developed into the abstract study of
algebraic numbers and number fields themselves, as well as their properties.
Algebraic number theory is a major branch of number theory that studies
algebraic structures related to algebraic integers. This is generally
accomplished by considering a ring of algebraic integers O in an algebraic
number field K/Q, and