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100%: Jones, Arthur, Sidney A. Morris and Kenneth R. Pearson: Abstract Algebra Famous Impossibilities, by (ISBN: 9783540976615) 2. Ausgabe, in Deutsch, Taschenbuch.
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60%: Sidney A. Morris; Arthur Jones; Kenneth R. Pearson: Abstract Algebra and Famous Impossibilities by Hardcover | Indigo Chapters (ISBN: 9783031056970) Springer Nature, in Englisch, Broschiert.Nur diese Ausgabe anzeigen…
Abstract Algebra Famous Impossibilities, by - 6 Angebote vergleichen
Bester Preis: € 22,70 (vom 03.11.2016)1
Abstract algebra famous impossibilities. (1991)
DE PB USISBN: 9783540976615 bzw. 3540976612, in Deutsch, New York ; Berlin ; Heidelberg ; Springer, Taschenbuch, gebraucht.
Von Händler/Antiquariat, Georg Scheringer, Antiquariat,Buchhandel [61792384], Konstanz, BADEN, Germany.
X, 187 S. : graph. Darst. ; 24 cm ISBN: 3540976612 - 1991 - sehr guter Zustand - Schlagworte: Geometrische Konstruktion ; Ungelöstes Problem ; Algebraische Methode, Mathematik - Serie: Universitext ISBN: 3540976612 Sprache: Englisch Gewicht in Gramm: 279 Gr.-8°,Orig.kartoniert, broschiert.
X, 187 S. : graph. Darst. ; 24 cm ISBN: 3540976612 - 1991 - sehr guter Zustand - Schlagworte: Geometrische Konstruktion ; Ungelöstes Problem ; Algebraische Methode, Mathematik - Serie: Universitext ISBN: 3540976612 Sprache: Englisch Gewicht in Gramm: 279 Gr.-8°,Orig.kartoniert, broschiert.
2
Abstract Algebra and Famous Impossibilities
~EN HC NWISBN: 9783031056970 bzw. 3031056973, vermutlich in Englisch, Springer Nature, gebundenes Buch, neu.
Lieferung aus: Deutschland, Lagernd, zzgl. Versandkosten.
This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields are introduced concretely, with the geometrical questions providing motivation for the algebraic concepts. By focusing on problems that are as easy to approach as they were fiendishly difficult to resolve, the authors provide a uniquely accessible introduction to the power of abstraction. Beginning with a brief account of the history of these fabled problems, the book goes on to present the theory of fields, polynomials, field extensions, and irreducible polynomials. Straightedge and compass constructions establish the standards for constructability, and offer a glimpse into why squaring, doubling, and trisecting appeared so tractable to professional and amateur mathematicians alike. However, the connection between geometry and algebra allows the reader to bypass two millennia of failed geometric attempts, arriving at the elegant algebraic conclusion that such constructions are impossible. From here, focus turns to a challenging problem within algebra itself: finding a general formula for solving a quintic polynomial. The proof of the impossibility of this task is presented using Abel’s original approach. Abstract Algebra and Famous Impossibilities illustrates the enormous power of algebraic abstraction by exploring several notable historical triumphs. This new edition adds the fourth impossibility: solving general quintic equations. Students and instructors alike will appreciate the illuminating examples, conversational commentary, and engaging exercises that accompany each section. A first course in linear algebra is assumed, along with a basic familiarity with integral calculus. Hard cover.
This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields are introduced concretely, with the geometrical questions providing motivation for the algebraic concepts. By focusing on problems that are as easy to approach as they were fiendishly difficult to resolve, the authors provide a uniquely accessible introduction to the power of abstraction. Beginning with a brief account of the history of these fabled problems, the book goes on to present the theory of fields, polynomials, field extensions, and irreducible polynomials. Straightedge and compass constructions establish the standards for constructability, and offer a glimpse into why squaring, doubling, and trisecting appeared so tractable to professional and amateur mathematicians alike. However, the connection between geometry and algebra allows the reader to bypass two millennia of failed geometric attempts, arriving at the elegant algebraic conclusion that such constructions are impossible. From here, focus turns to a challenging problem within algebra itself: finding a general formula for solving a quintic polynomial. The proof of the impossibility of this task is presented using Abel’s original approach. Abstract Algebra and Famous Impossibilities illustrates the enormous power of algebraic abstraction by exploring several notable historical triumphs. This new edition adds the fourth impossibility: solving general quintic equations. Students and instructors alike will appreciate the illuminating examples, conversational commentary, and engaging exercises that accompany each section. A first course in linear algebra is assumed, along with a basic familiarity with integral calculus. Hard cover.
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Abstract Algebra and Famous Impossibilities (1993)
DE PB USISBN: 9783540976615 bzw. 3540976612, in Deutsch, 187 Seiten, 2. Ausgabe, Springer Berlin, Taschenbuch, gebraucht.
Lieferung aus: Deutschland, Versandfertig in 1 - 2 Werktagen.
Von Händler/Antiquariat, buchweide.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Von Händler/Antiquariat, buchweide.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
4
Abstract Algebra and Famous Impossibilities by Sidney A. Morris Hardcover | Indigo Chapters
~EN HC NWISBN: 9783031056970 bzw. 3031056973, vermutlich in Englisch, gebundenes Buch, neu.
Lieferung aus: Kanada, Lagernd, zzgl. Versandkosten.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
6
Abstract Algebra and Famous Impossibilities, by (1991)
DE PB USISBN: 9783540976615 bzw. 3540976612, in Deutsch, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Taschenbuch, gebraucht.
Von Händler/Antiquariat, Bookbyte [763995], Salem, OR, U.S.A.
Has minor wear and/or markings. SKU:9783540976615-3-0-3.
Has minor wear and/or markings. SKU:9783540976615-3-0-3.
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