Summer Reading Sale
 
 

Recently Viewed clear list


The Powell's Playlist | June 18, 2014

Daniel H. Wilson: IMG The Powell’s Playlist: Daniel H. Wilson



Like many writers, I'm constantly haunting coffee shops with a laptop out and my headphones on. I listen to a lot of music while I write, and songs... Continue »

spacer
Qualifying orders ship free.
$67.25
New Hardcover
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
25 Remote Warehouse Mathematics- Algebra

This title in other editions

A Field Guide to Algebra (Undergraduate Texts in Mathematics,)

by

A Field Guide to Algebra (Undergraduate Texts in Mathematics,) Cover

 

Synopses & Reviews

Publisher Comments:

This unique textbook focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. The reader will hear about equations, both polynomial and differential, and about the algebraic structure of their solutions. In explaining these concepts, the author also provides comments on their historical development and leads the reader along many interesting paths. In addition, there are theorems from analysis: as stated before, the transcendence of the numbers pi and e, the fact that the complex numbers form an algebraically closed field, and also Puiseux's theorem that shows how one can parametrize the roots of polynomial equations, the coefficients of which are allowed to vary. There are exercises at the end of each chapter, varying in degree from easy to difficult. To make the book more lively, the author has incorporated pictures from the history of mathematics, including scans of mathematical stamps and pictures of mathematicians. Antoine Chambert-Loir taught this book when he was Professor at École polytechnique, Palaiseau, France. He is now Professor at Université de Rennes 1.

Synopsis:

This book has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and pi.  The author uses a conversational tone and has included a selection of stamps to accompany the text.

Synopsis:

This unique book focuses on the structure of fields and is intended for students in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. Readers will learn about equations, both polynomial and differential, and about the algebraic structure of their solutions. In explaining these concepts, the author also provides comments on their historical development and leads readers along many interesting paths.

About the Author

Antoine Chambert-Loir is Professor at Université de Rennes 1.

Table of Contents

Field Extensions.- Roots.- Galois Theory.- A Bit of Group Theory.- Applications.- Algebraic Theory of Differential Equations.- Examination Problems.- References.- Index.

Product Details

ISBN:
9780387214283
Author:
Chambert-loir, Antoine
Publisher:
Springer
Author:
Chambert-Loir, Antoine
Subject:
Number Theory
Subject:
Algebra - General
Subject:
Algebraic fields
Subject:
Mathematics - Algebra
Subject:
Algebra
Subject:
Field Theory and Polynomials
Subject:
Commutative Rings and Algebras
Edition Number:
1
Edition Description:
Book
Series:
Undergraduate Texts in Mathematics,
Publication Date:
20041131
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
205
Dimensions:
235 x 155 mm 1050 gr

Other books you might like

  1. Groups: A Path to Geometry New Trade Paper $76.50
  2. Algebraic Transformation Groups and... New Hardcover $180.25
  3. Abel's Theorem in Problems and Solutions New Hardcover $160.50
  4. Modules and Rings New Trade Paper $104.25
  5. Corings and Comodules New Trade Paper $111.50
  6. Progress in Galois Theory New Hardcover $219.75

Related Subjects

Reference » Science Reference » General
Science and Mathematics » Environmental Studies » Environment
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory
Science and Mathematics » Physics » General

A Field Guide to Algebra (Undergraduate Texts in Mathematics,) New Hardcover
0 stars - 0 reviews
$67.25 In Stock
Product details 205 pages Springer-Verlag - English 9780387214283 Reviews:
"Synopsis" by , This book has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and pi.  The author uses a conversational tone and has included a selection of stamps to accompany the text.
"Synopsis" by , This unique book focuses on the structure of fields and is intended for students in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. Readers will learn about equations, both polynomial and differential, and about the algebraic structure of their solutions. In explaining these concepts, the author also provides comments on their historical development and leads readers along many interesting paths.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.