ENGLISH

Introduction to the Construction of Class Fields

By Harvey Cohn

Book information

Publisher
Dover Publications
Year
1995
ISBN
048668346X, 9780486683461, 9780521247627
Language
english
Format
PDF
Filesize
12 MB (12354009 bytes)
Pages
C,X,213,B\226
Topic
Mathematics Algebra
DPI
300
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2016-05-11 10:51:38
Field Theory

Description

In this graduate level textbook, Professor Cohn takes a problem that Pythagoras could have posed, and using it as motivation, develops a constructional introduction to classical field theory and modular function theory. The interest in constructional techniques has increased recently with the advent of cheap and plentiful computer technology. The beginning chapters provide the motivation and necessary background in elementary algebraic number theory and Riemann surface theory. The ideas and results are then applied and extended to class field theory. In the later chapters, more specialized results are presented, with full proofs, though the author emphasizes, with examples, the relation of the material to other parts of mathematics.

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