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The book presents a comprehensive exploration of classical algebraic and analytic number theory, expanding on previous works to include class field theory. It emphasizes a global perspective while addressing local fields only briefly. The author integrates ideal and idelic approaches, offering two distinct proofs of the functional equation for the zeta function to showcase various techniques. The text references influential literature and highlights the enduring relevance of historical cases in advancing theoretical understanding.
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Algebraic Number Theory, Serge Lang
- Language
- Released
- 2013
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- (Paperback)
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- Title
- Algebraic Number Theory
- Language
- English
- Authors
- Serge Lang
- Publisher
- Springer New York
- Released
- 2013
- Format
- Paperback
- Pages
- 376
- ISBN13
- 9781461269229
- Category
- Mathematics
- Description
- The book presents a comprehensive exploration of classical algebraic and analytic number theory, expanding on previous works to include class field theory. It emphasizes a global perspective while addressing local fields only briefly. The author integrates ideal and idelic approaches, offering two distinct proofs of the functional equation for the zeta function to showcase various techniques. The text references influential literature and highlights the enduring relevance of historical cases in advancing theoretical understanding.