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The study of algebraic equations has served as a motivating terrain for a large part of abstract algebra, and according to this, algebraic equations are visible as a guiding thread throughout the book. To underline this point, an introduction to the history of algebraic equations is included.
The entire book is self-contained, up to a few prerequisites from linear algebra. It covers most topics of current algebra courses and is enriched by several optional sections that complement the standard program or, in some cases, provide a first view on nearby areas that are more advanced. Every chapter begins with an introductory section on "Background and Overview," motivating the material that follows and discussing its highlights on an informal level. Furthermore, each section ends with a list of specially adapted exercises, some of them with solution proposals in the appendix.
The present English edition is a translation and critical revision of the eighth German edition of the Algebra book by the author. The book appeared for the first time in 1993 and, in later years, was complemented by adding a variety of related topics. At the same time it was modified and polished to keep its contents up to date.
The study of algebraic equations has served as a motivating terrain for a large part of abstract algebra, and according to this, algebraic equations are visible as a guiding thread throughout the book. To underline this point, an introduction to the history of algebraic equations is included.
The entire book is self-contained, up to a few prerequisites from linear algebra. It covers most topics of current algebra courses and is enriched by several optional sections that complement the standard program or, in some cases, provide a first view on nearby areas that are more advanced. Every chapter begins with an introductory section on "Background and Overview," motivating the material that follows and discussing its highlights on an informal level. Furthermore, each section ends with a list of specially adapted exercises, some of them with solution proposals in the appendix.
The present English edition is a translation and critical revision of the eighth German edition of the Algebra book by the author. The book appeared for the first time in 1993 and, in later years, was complemented by adding a variety of related topics. At the same time it was modified and polished to keep its contents up to date.
Combines the standard material on algebraic field extensions with some related but advanced topics
Each chapter starts with a motivating introduction and ends with a set of specially adapted exercises, some of them with solutions in the appendix
Can be used as an accompanying textbook for a course, but also as a source for more specialized seminars
The entire text is self-contained, up to a few rudimentary facts from Linear Algebra
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 376 |
| Reihe: | Birkhäuser Advanced Texts Basler Lehrbücher |
| Inhalt: |
xv
352 S. 13 s/w Illustr. 352 p. 13 illus. |
| ISBN-13: | 9783319951768 |
| ISBN-10: | 3319951769 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-95176-8 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Bosch, Siegfried |
| Auflage: | 1st ed. 2018 |
| Hersteller: |
Springer International Publishing
Birkhäuser Advanced Texts Basler Lehrbücher |
| Maße: | 241 x 160 x 26 mm |
| Von/Mit: | Siegfried Bosch |
| Erscheinungsdatum: | 13.11.2018 |
| Gewicht: | 0,729 kg |
Combines the standard material on algebraic field extensions with some related but advanced topics
Each chapter starts with a motivating introduction and ends with a set of specially adapted exercises, some of them with solutions in the appendix
Can be used as an accompanying textbook for a course, but also as a source for more specialized seminars
The entire text is self-contained, up to a few rudimentary facts from Linear Algebra
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 376 |
| Reihe: | Birkhäuser Advanced Texts Basler Lehrbücher |
| Inhalt: |
xv
352 S. 13 s/w Illustr. 352 p. 13 illus. |
| ISBN-13: | 9783319951768 |
| ISBN-10: | 3319951769 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-95176-8 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Bosch, Siegfried |
| Auflage: | 1st ed. 2018 |
| Hersteller: |
Springer International Publishing
Birkhäuser Advanced Texts Basler Lehrbücher |
| Maße: | 241 x 160 x 26 mm |
| Von/Mit: | Siegfried Bosch |
| Erscheinungsdatum: | 13.11.2018 |
| Gewicht: | 0,729 kg |
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