Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
"...The book is written in a very clear and pleasing style. Each of the 9 chapters of the book concludes with a section called "Discussions", which contains very interesting and valuable historical information and comments on the topics presented in the respective chapter. We strongly recommend this nice volume not only to beginners but also to experts."--MATHEMATICAL REVIEWS
Preface; 1. Algebra and Geometry; 2. The Rational Numbers; 3. Numbers In General; 4. Polynomials; 5. Fields; 6. Isomorphisms; 7. Groups; 8. Galois Theory of Unsolvability; 9. Galois Theory of Solvability; References; Index
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Da: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
Condizione: Very Good. First edition, first printing, xi, 181 pp., hardcover, spine faded, very minor library markings (lacks dust jacket). - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1349130
Quantità: 1 disponibili
Da: medimops, Berlin, Germania
Condizione: very good. Gut/Very good: Buch bzw. Schutzumschlag mit wenigen Gebrauchsspuren an Einband, Schutzumschlag oder Seiten. / Describes a book or dust jacket that does show some signs of wear on either the binding, dust jacket or pages. Codice articolo M00387942904-V
Quantità: 1 disponibili
Da: Better World Books Ltd, Dunfermline, Regno Unito
Condizione: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Codice articolo 4952944-6
Quantità: 1 disponibili
Da: PBShop.store UK, Fairford, GLOS, Regno Unito
HRD. Condizione: Used - Very Good. Used - Like New Book. Shipped from UK. Established seller since 2000. Codice articolo P1-9780387942902
Quantità: 1 disponibili
Da: Better World Books, Mishawaka, IN, U.S.A.
Condizione: Very Good. Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Codice articolo GRP63280995
Quantità: 1 disponibili
Da: Antiquariat Smock, Freiburg, Germania
Condizione: Akzeptabel. Formateinband: illustrierter Pappband / gebundene Ausgabe XI, 181 S. (24,5 cm) Corrected 3rd printing of the 1st Edition; Am Rücken aufgehellt; die 3 Titelblätter lose, Stempel auf Vorsatzblatt; sonst gut und sauber erhalten. Sprache: Englisch Gewicht in Gramm: 600 [Stichwörter: ]. Codice articolo 78975
Quantità: 1 disponibili
Da: Basi6 International, Irving, TX, U.S.A.
Condizione: Brand New. New. US edition. Print on demand title. Delivery takes 20-25 days. Codice articolo POD-169847
Quantità: 10 disponibili
Da: Maxwell's House of Books, La Mesa, CA, U.S.A.
Hardcover. Condizione: Fine. Condizione sovraccoperta: No DJ as Issued. 1st Edition. A beautiful, crisp, clean hardcover in fine condition. No dust jacket, as issued. We are a brick-and-mortar store and sell our own inventory. Codice articolo 067978
Quantità: 1 disponibili
Da: Antiquariat Bookfarm, Löbnitz, Germania
Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 09 STI 9780387942902 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2505136
Quantità: 1 disponibili
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart. 200 pp. Englisch. Codice articolo 9780387942902
Quantità: 2 disponibili