Zur Startseite gehen
0,00 €*
Cover: 9781441920959 | Field Theory | Steven Roman | Taschenbuch | Paperback | XII | Englisch
Dekorationsartikel gehören nicht zum Leistungsumfang.
Field Theory
Taschenbuch von Steven Roman
Sprache: Englisch

64,19 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
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
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
Zusammenfassung
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2011
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xii
335 S.
18 s/w Illustr.
335 p. 18 illus.
ISBN-13: 9781441920959
ISBN-10: 1441920951
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Roman, Steven
Auflage: 2nd ed. 2006
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 235 x 155 x 19 mm
Von/Mit: Steven Roman
Erscheinungsdatum: 17.09.2011
Gewicht: 0,528 kg
Artikel-ID: 106971218
Zusammenfassung
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2011
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xii
335 S.
18 s/w Illustr.
335 p. 18 illus.
ISBN-13: 9781441920959
ISBN-10: 1441920951
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Roman, Steven
Auflage: 2nd ed. 2006
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 235 x 155 x 19 mm
Von/Mit: Steven Roman
Erscheinungsdatum: 17.09.2011
Gewicht: 0,528 kg
Artikel-ID: 106971218
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9783540785835 | Algebraic Groups and Lie Groups with Few Factors | Bartolo (u. a.)
Algebraic Groups and Lie Groups with Few Factors
EAN: 9783540785835
Sprache: Englisch
Von/Mit: Alfonso Di Bartolo (u. a.)

48,10 €*

Aktuell nicht verfügbar

Buch
Cover: 9780986571619 | Introduction to Arithmetic Groups | Dave Witte Morris | Buch | 2015
Introduction to Arithmetic Groups
EAN: 9780986571619
Sprache: Englisch
Von/Mit: Dave Witte Morris

26,50 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783658059385 | Geschichte der gleichmäßigen Konvergenz | Klaus Viertel | Taschenbuch
Geschichte der gleichmäßigen Konvergenz
Ursprünge und Entwicklungen des Begriffs in der Analysis des 19. Jahrhunderts
EAN: 9783658059385
Sprache: Deutsch
Von/Mit: Klaus Viertel

59,99 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781447125273 | The Finite Simple Groups | Robert Wilson | Taschenbuch | Paperback
The Finite Simple Groups
EAN: 9781447125273
Sprache: Englisch
Von/Mit: Robert Wilson

58,84 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9780387977683 | Non-Abelian Harmonic Analysis | Applications of SL (2,?) | Tan (u. a.)
Non-Abelian Harmonic Analysis
Applications of SL (2,?)
EAN: 9780387977683
Sprache: Englisch
Von/Mit: Eng Chye Tan (u. a.)

80,24 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9780387963563 | An Invitation to von Neumann Algebras | V. S. Sunder | Taschenbuch
An Invitation to von Neumann Algebras
EAN: 9780387963563
Sprache: Englisch
Von/Mit: V. S. Sunder

85,59 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9789811340505 | Tensor Eigenvalues and Their Applications | Liqun Qi (u. a.) | Buch
Tensor Eigenvalues and Their Applications
EAN: 9789811340505
Sprache: Englisch
Von/Mit: Liqun Qi (u. a.)

160,49 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781942715269 | Math Mammoth Grade 7 Tests and Cumulative Reviews | Maria Miller
Math Mammoth Grade 7 Tests and Cumulative Reviews
EAN: 9781942715269
Sprache: Englisch
Von/Mit: Maria Miller

24,80 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783985580514 | PICO-Piccolino / Klasse 2 | Jana Blum | Taschenbuch | 144 S. | Deutsch
PICO-Piccolino / Klasse 2
Die Mini-Lernreihe für die Freiarbeit Mathematik
EAN: 9783985580514
Sprache: Deutsch
Von/Mit: Jana Blum
Maße: 293 x 207 x 9 mm
Empfohlen (von): 7

29,80 €*

Aktuell nicht verfügbar

Buch
Cover: 9783112531815 | Kategorien II | H. Schubert | Buch | HC runder Rücken kaschiert
Kategorien II
EAN: 9783112531815
Sprache: Deutsch
Von/Mit: H. Schubert

109,95 €*

Aktuell nicht verfügbar

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...