Field Theory (Record no. 425084)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03752nam a22005295i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9780387276786 |
| -- | 978-0-387-27678-6 |
| 024 7# - | |
| -- | 10.1007/0-387-27678-5 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA150-272 |
| 072 #7 - | |
| -- | PBF |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT002000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBF |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Roman, Steven. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Field Theory |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Steven Roman. |
| 250 ## - EDITIONSTATEMENT | |
| Edition statement | Second Edition. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | New York, NY : |
| Name of producer, publisher, distributor, manufacturer | Springer New York, |
| Date of production, publication, distribution, manufacture | 2006. |
| 300 ## - | |
| -- | XII, 335 p. 18 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Graduate Texts in Mathematics, |
| -- | 0072-5285 ; |
| -- | 158 |
| 505 0# - | |
| -- | 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. |
| 520 ## - | |
| -- | 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. |
| 650 #0 - | |
| -- | Algebra. |
| 650 #0 - | |
| -- | Field theory (Physics). |
| 650 #0 - | |
| -- | Number theory. |
| 650 14 - | |
| -- | Algebra. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11000 |
| 650 24 - | |
| -- | Field Theory and Polynomials. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11051 |
| 650 24 - | |
| -- | Number Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M25001 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780387508429 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9781441920959 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780387276779 |
| 830 #0 - | |
| -- | Graduate Texts in Mathematics, |
| -- | 0072-5285 ; |
| -- | 158 |
| 856 40 - | |
| -- | https://doi.org/10.1007/0-387-27678-5 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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