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The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions.
Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.
The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions.
Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.
Provides a gentle, yet thorough, introduction to abstract algebra
Includes careful proofs of theorems and numerous worked examples
Written in an informal, readable style
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xi
301 S. 7 s/w Illustr. 301 p. 7 illus. |
| ISBN-13: | 9783319776484 |
| ISBN-10: | 3319776487 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-77648-4 |
| Einband: | Kartoniert / Broschiert |
| Autor: | Lee, Gregory T. |
| Auflage: | 1st edition 2018 |
| Hersteller: | Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 18 mm |
| Von/Mit: | Gregory T. Lee |
| Erscheinungsdatum: | 26.04.2018 |
| Gewicht: | 0,482 kg |
Provides a gentle, yet thorough, introduction to abstract algebra
Includes careful proofs of theorems and numerous worked examples
Written in an informal, readable style
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xi
301 S. 7 s/w Illustr. 301 p. 7 illus. |
| ISBN-13: | 9783319776484 |
| ISBN-10: | 3319776487 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-77648-4 |
| Einband: | Kartoniert / Broschiert |
| Autor: | Lee, Gregory T. |
| Auflage: | 1st edition 2018 |
| Hersteller: | Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 18 mm |
| Von/Mit: | Gregory T. Lee |
| Erscheinungsdatum: | 26.04.2018 |
| Gewicht: | 0,482 kg |
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