Cantitate/Preț
Produs
Total produse
Vezi coșul
Field Theory de Steven Roman

Field Theory: Graduate Texts in Mathematics, cartea 158

Autor Steven Roman
en Limba Engleză Paperback – 17 sep 2011
Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials – the Kummer theory.
This new edition has been completely rewritten in order to improve the pedagogy and to make the text more accessible to graduate students. The exercises have also been improved and a new chapter on ordered fields has been included.
About the first edition:
" ...the author has gotten across many important ideas and results. This book should not only work well as a textbook for a beginning graduate course in field theory, but also for a student who wishes to take a field theory course as independent study."
-J.N. Mordeson, Zentralblatt
"The book is written in a clear and explanatory style. It contains over 235 exercises which provide a challenge to the reader. The book is recommended for a graduate course in field theory as well as for independent study."
- T. Albu, MathSciNet
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 44820 lei  6-8 săpt.
  Springer – 17 sep 2011 44820 lei  6-8 săpt.
Hardback (1) 57951 lei  6-8 săpt.
  Springer – 17 noi 2005 57951 lei  6-8 săpt.

Din seria Graduate Texts in Mathematics

  • Problems in Analytic Number Theory
    Preț: 40286 lei
  • Functions of One Complex Variable I
    Preț: 36165 lei
  • 17% Complex Analysis
    Preț: 39895 lei
  • Applications of Lie Groups to Differential Equations
    Preț: 35581 lei
  • Advanced Linear Algebra
    Preț: 44204 lei
  • Real and Functional Analysis
    Preț: 38024 lei
  • Commutative Algebra: with a View Toward Algebraic Geometry
    Preț: 28986 lei
  • 17% Advanced Topics in the Arithmetic of Elliptic Curves
    Preț: 36578 lei
  • 17% Classical Descriptive Set Theory
    Preț: 35943 lei
  • Groups and Representations
    Preț: 45063 lei
  • Graph Theory
    Preț: 38097 lei
  • An Introduction to Knot Theory
    Preț: 43130 lei
  • 18% Introduction to Riemannian Manifolds
    Preț: 34029 lei
  • 13% Algebra
    Preț: 36137 lei
  • 13% Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
    Preț: 35573 lei
  • 17% A First Course in Modular Forms
    Preț: 35956 lei
  • Ergodic Theory: with a view towards Number Theory
    Preț: 48886 lei
  • 20% Calculus Without Derivatives
    Preț: 57123 lei
  • 15% Quantum Theory for Mathematicians
    Preț: 53554 lei
  • Integer Programming
    Preț: 48865 lei
  • 15% Homotopical Topology
    Preț: 35436 lei
  • Brownian Motion, Martingales, and Stochastic Calculus
    Preț: 39627 lei
  • 13% Differential Geometry: Connections, Curvature, and Characteristic Classes
    Preț: 42994 lei
  • 17% Intersection Homology & Perverse Sheaves: with Applications to Singularities
    Preț: 36358 lei
  • 18% Measure, Integration & Real Analysis
    Preț: 28093 lei
  • 17% Basic Representation Theory of Algebras
    Preț: 36446 lei
  • 17% Spectral Theory: Basic Concepts and Applications
    Preț: 36646 lei
  • 17% Explorations in Complex Functions
    Preț: 36605 lei
  • Quaternion Algebras
    Preț: 24758 lei
  • 17% Lessons in Enumerative Combinatorics
    Preț: 36769 lei
  • 13% Mathematical Logic
    Preț: 35936 lei
  • 17% Partial Differential Equations: An Introduction to Analytical and Numerical Methods
    Preț: 39876 lei
  • 17% Measure Theory, Probability, and Stochastic Processes
    Preț: 39849 lei
  • 17% Drinfeld Modules
    Preț: 49622 lei
  • 13% An Introduction to Automorphic Representations: With a view toward trace formulae
    Preț: 36436 lei
  • 20% Several Complex Variables
    Preț: 44970 lei
  • Categories for the Working Mathematician
    Preț: 38307 lei
  • Algebraic Geometry
    Preț: 36478 lei
  • 17% p-adic Numbers, p-adic Analysis, and Zeta-Functions
    Preț: 42726 lei
  • Algebra
    Preț: 35717 lei
  • An Introduction to Ergodic Theory
    Preț: 40499 lei
  • 17% Lectures on Riemann Surfaces
    Preț: 39585 lei
  • Differential Forms in Algebraic Topology
    Preț: 37618 lei
  • 13% A Classical Introduction to Modern Number Theory
    Preț: 41702 lei
  • 15% Representation Theory: A First Course
    Preț: 59152 lei
  • 15% Theory of Complex Functions
    Preț: 58736 lei
  • Mathematical Methods of Classical Mechanics
    Preț: 38658 lei

Preț: 44820 lei

Nou

Puncte Express: 672
Preț estimativ în valută:
8576€ • 9057$ • 7137£

Carte tipărită la comandă

Livrare economică 13-27 ianuarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781441920959
ISBN-10: 1441920951
Pagini: 348
Ilustrații: XII, 335 p. 18 illus.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.49 kg
Ediția:2nd ed. 2006
Editura: Springer
Colecția Springer
Seria Graduate Texts in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

Preliminaries.- Preliminaries.- Field Extensions.- Polynomials.- Field Extensions.- Embeddings and Separability.- Algebraic Independence.- Galois Theory.- Galois Theory I: An Historical Perspective.- Galois Theory II: The Theory.- Galois Theory III: The Galois Group of a Polynomial.- A Field Extension as a Vector Space.- Finite Fields I: Basic Properties.- Finite Fields II: Additional Properties.- The Roots of Unity.- Cyclic Extensions.- Solvable Extensions.- The Theory of Binomials.- Binomials.- Families of Binomials.

Recenzii

From the reviews of the second edition:
"Springer has just released the second edition of Steven Roman’s Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there. … Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all, I recommend this book highly as it is a well-written expository account of a very exciting area in mathematics." (Darren Glass, The MAA Mathematical Sciences Digital Library, February, 2006)
“The second edition of Roman’s Field Theory … offers a graduate course on Galois theory. … The author’s approach is mainly standard … . the merits of such an approach would have been helpful for readers who already know some Galois theory, or for instructors who have to pick a textbook. … The clarity of exposition and lots of exercises make this a suitable textbook for a graduate course on Galois theory.” (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1172, 2009)

Textul de pe ultima copertă

This book presents the basic theory of fields, starting more or less from the beginning. It is suitable for a graduate course in field theory, or independent study. The reader is expected to have taken an undergraduate course in abstract algebra, not so much for the material it contains but in order to gain a certain level of mathematical maturity.
For this new edition, the author has rewritten the text based on his experiences teaching from the first edition. There are new exercises, a new chapter on Galois theory from an historical perspective, and additional topics sprinkled throughout the text, including a proof of the Fundamental Theorem of Algebra, a discussion of casus irreducibilis, Berlekamp's algorithm for factoring polynomials over Zp and natural and accessory irrationalities.
From the reviews of the first edition:
The book is written in a clear and explanatory style...the book is recommended for a graduate course in field theory as well as for independent study.
- T. Albu, Mathematical Reviews
...[the author] does an excellent job of stressing the key ideas. This book should not only work well as a textbook for a beginning graduate course in field theory, but also for a student who wishes to take a field theory course as independent study.
- J.N.Mordeson, Zentralblatt

Caracteristici

This new edition has been completely rewritten for greater accessibility, and includes considerable new material The new chapter on ordered sets contains material that cannot be found in other books The exercises have also been improved for the new edition Intended for graduate courses or for independent study