Algebraic Number Theory

By: Mollin, Richard AContributor(s): Rosen, Kenneth H (Editor)Material type: TextTextLanguage: English Series: Discrete Mathematics and its ApplicationsPublication details: Florida CRC Press 1999Description: xiv, 483 p. illISBN: 0849339898 (HB)Subject(s): Algebraic number theory | Theory algebric numbers | Mathematics
Contents:
1. Algebraic Numbers 2. Arithmetic of Number Fields 3. Ideal Theory 4. Ideal Decomposition in Extension Fields 5. Reciprocity Laws App. A. Abstract Algebra App. B. Sequences and Series App. C. Galois Theory App. D. The Greek Alphabet App. E. Latin Phrases
Summary: A follow-up to Dr. Mollin's popular Fundamental Number Theory with Applications, Algebraic Number Theory provides a global approach to the subject, carefully leading the reader through algebraic numbers, the arithmetic of number fields, ideal theory, ideal decomposition in extension fields, and reciprocity laws. In each chapter, the author includes a section on a cryptographic application of the ideas presented, effectively demonstrating the pragmatic side of theory." "Algebraic Number Theory provides a comprehensible yet thorough treatment of the material. Written with the prerequisite background provided in appendices so that anyone can work through the book, this one-of-a-kind text brings the subject matter to life with historical background and real-world practicality.
Item type: BOOKS
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Current library Home library Call number Materials specified Status Date due Barcode
IMSc Library
IMSc Library
511.2 MOL (Browse shelf (Opens below)) Available 40896

Includes index.

Includes bibliographical references (p. 459-463)

1. Algebraic Numbers
2. Arithmetic of Number Fields
3. Ideal Theory
4. Ideal Decomposition in Extension Fields
5. Reciprocity Laws
App. A. Abstract Algebra
App. B. Sequences and Series
App. C. Galois Theory
App. D. The Greek Alphabet
App. E. Latin Phrases

A follow-up to Dr. Mollin's popular Fundamental Number Theory with Applications, Algebraic Number Theory provides a global approach to the subject, carefully leading the reader through algebraic numbers, the arithmetic of number fields, ideal theory, ideal decomposition in extension fields, and reciprocity laws. In each chapter, the author includes a section on a cryptographic application of the ideas presented, effectively demonstrating the pragmatic side of theory." "Algebraic Number Theory provides a comprehensible yet thorough treatment of the material. Written with the prerequisite background provided in appendices so that anyone can work through the book, this one-of-a-kind text brings the subject matter to life with historical background and real-world practicality.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India

Powered by Koha