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Englisch
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Beschreibung
This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences.
Applications include:
Identification numbers and modular arithmetic
(linear) error-correcting codes, including cyclic codes
ruler and compass constructions
cryptography
symmetry of patterns in the real plane
Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics,mathematics education, computer science, and engineering interested in applications of algebraic concepts.
Applications include:
Identification numbers and modular arithmetic
(linear) error-correcting codes, including cyclic codes
ruler and compass constructions
cryptography
symmetry of patterns in the real plane
Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics,mathematics education, computer science, and engineering interested in applications of algebraic concepts.
This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences.
Applications include:
Identification numbers and modular arithmetic
(linear) error-correcting codes, including cyclic codes
ruler and compass constructions
cryptography
symmetry of patterns in the real plane
Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics,mathematics education, computer science, and engineering interested in applications of algebraic concepts.
Applications include:
Identification numbers and modular arithmetic
(linear) error-correcting codes, including cyclic codes
ruler and compass constructions
cryptography
symmetry of patterns in the real plane
Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics,mathematics education, computer science, and engineering interested in applications of algebraic concepts.
Über den Autor
The author is a professor at XX University.
Zusammenfassung
Accessible to students with no prior knowledge of abstract algebra
Focuses on a wide variety of daily applications
Numerous sample problems and exercises
Includes supplementary material: [...]
Inhaltsverzeichnis
Identification Numbers and Modular Arithmetic.- Error Correcting Codes.- Rings and Fields.- Linear Algebra and Linear Codes.- Quotient Rings and Field Extensions.- Ruler and Compass Constructions.- Cyclic Codes.- Groups and Cryptography.- The Structure of Groups.- Symmetry.
Details
Erscheinungsjahr: | 2014 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Springer Undergraduate Texts in Mathematics and Technology |
Inhalt: |
ix
187 S. 45 s/w Illustr. 187 p. 45 illus. With online files/update. |
ISBN-13: | 9783319044972 |
ISBN-10: | 3319044974 |
Sprache: | Englisch |
Herstellernummer: | 86240167 |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: |
Morandi, Patrick J.
Finston, David R. |
Hersteller: |
Springer International Publishing
Springer International Publishing AG Springer Undergraduate Texts in Mathematics and Technology |
Maße: | 260 x 183 x 17 mm |
Von/Mit: | Patrick J. Morandi (u. a.) |
Erscheinungsdatum: | 11.09.2014 |
Gewicht: | 0,584 kg |
Über den Autor
The author is a professor at XX University.
Zusammenfassung
Accessible to students with no prior knowledge of abstract algebra
Focuses on a wide variety of daily applications
Numerous sample problems and exercises
Includes supplementary material: [...]
Inhaltsverzeichnis
Identification Numbers and Modular Arithmetic.- Error Correcting Codes.- Rings and Fields.- Linear Algebra and Linear Codes.- Quotient Rings and Field Extensions.- Ruler and Compass Constructions.- Cyclic Codes.- Groups and Cryptography.- The Structure of Groups.- Symmetry.
Details
Erscheinungsjahr: | 2014 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Springer Undergraduate Texts in Mathematics and Technology |
Inhalt: |
ix
187 S. 45 s/w Illustr. 187 p. 45 illus. With online files/update. |
ISBN-13: | 9783319044972 |
ISBN-10: | 3319044974 |
Sprache: | Englisch |
Herstellernummer: | 86240167 |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: |
Morandi, Patrick J.
Finston, David R. |
Hersteller: |
Springer International Publishing
Springer International Publishing AG Springer Undergraduate Texts in Mathematics and Technology |
Maße: | 260 x 183 x 17 mm |
Von/Mit: | Patrick J. Morandi (u. a.) |
Erscheinungsdatum: | 11.09.2014 |
Gewicht: | 0,584 kg |
Warnhinweis