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  • Textbook
  • © 1996

Field and Galois Theory

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 167)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xvi
  2. Galois Theory

    • Patrick Morandi
    Pages 1-63
  3. Some Galois Extensions

    • Patrick Morandi
    Pages 65-110
  4. Applications of Galois Theory

    • Patrick Morandi
    Pages 111-153
  5. Infinite Algebraic Extensions

    • Patrick Morandi
    Pages 155-171
  6. Transcendental Extensions

    • Patrick Morandi
    Pages 173-224
  7. Back Matter

    Pages 225-283

About this book

In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In the back of my mind, I thought it would be nice someday to write a book on field theory, one of my favorite mathematical subjects, and I wrote a crude form of lecture notes that semester. Those notes sat undisturbed for three years until late in 1993 when I finally made the decision to turn the notes into a book. The notes were greatly expanded and rewritten, and they were in a form sufficient to be used as the text for Math 581 when I taught it again in the fall of 1994. Part of my desire to write a textbook was due to the nonstandard format of our graduate algebra sequence. The first semester of our sequence is field theory. Our graduate students generally pick up group and ring theory in a senior-level course prior to taking field theory. Since we start with field theory, we would have to jump into the middle of most graduate algebra textbooks. This can make reading the text difficult by not knowing what the author did before the field theory chapters. Therefore, a book devoted to field theory is desirable for us as a text. While there are a number of field theory books around, most of these were less complete than I wanted.

Authors and Affiliations

  • Department of Mathematical Sciences, New Mexico State University, Las Cruces, USA

    Patrick Morandi

Bibliographic Information

  • Book Title: Field and Galois Theory

  • Authors: Patrick Morandi

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4040-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1996

  • Hardcover ISBN: 978-0-387-94753-2Published: 25 July 1996

  • Softcover ISBN: 978-1-4612-8475-8Published: 17 September 2011

  • eBook ISBN: 978-1-4612-4040-2Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XVI, 284

  • Topics: Algebra

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access