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Universitext

Number Fields

Authors: Marcus, Daniel A.

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  • Contains over 300 exercises
  • Assumes only basic abstract algebra
  • Covers topics leading up to class field theory
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eBook 32,09 €
price for Spain (gross)
  • ISBN 978-3-319-90233-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 41,59 €
price for Spain (gross)
About this Textbook

Requiring no more than a basic knowledge of abstract algebra, this textbook presents the basics of algebraic number theory in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a way that highlights key arguments. There are several hundred exercises, providing a wealth of both computational and theoretical practice, as well as appendices summarizing the necessary background in algebra.

Now in a newly typeset edition including a foreword by Barry Mazur, this highly regarded textbook will continue to provide lecturers and their students with an invaluable resource and a compelling gateway to a beautiful subject.

 

From the reviews:

“A thoroughly delightful introduction to algebraic number theory” – Ezra Brown in the Mathematical Reviews

“An excellent basis for an introductory graduate course in algebraic number theory” – Harold Edwards in the Bulletin of the American Mathematical Society

About the authors

Daniel A. Marcus received his PhD from Harvard University in 1972. He was a J. Willard Gibbs Instructor at Yale University from 1972 to 1974 and Professor of Mathematics at California State Polytechnic University, Pomona, from 1979 to 2004. He published research papers in the areas of graph theory, number theory and combinatorics. The present book grew out of a lecture course given by the author at Yale University.

Reviews

“It is well structured and gives the reader lots of motivation to learn more about the subject. It is one of the rare books which can help students to learn new stuff by themselves by solving the numerous exercises which cover very deep and important results … . The prerequisites for the reader are kept to a minimum making this book accessible to students at a much earlier stage than usual textbooks on algebraic number theory.”

“A book unabashedly devoted to number fields is a fabulous idea. … it goes without saying that the exercises in the book — and there are many — are of great importance and the reader should certainly do a lot of them; they are very good and add to the fabulous experience of learning this material. … it’s a wonderful book.” (Michael Berg, MAA Reviews, October 22, 2018)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 32,09 €
price for Spain (gross)
  • ISBN 978-3-319-90233-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 41,59 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Number Fields
Authors
Series Title
Universitext
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-90233-3
DOI
10.1007/978-3-319-90233-3
Softcover ISBN
978-3-319-90232-6
Series ISSN
0172-5939
Edition Number
2
Number of Pages
XVIII, 203
Additional Information
Originally published by Springer-Verlag New York, 1977
Topics