Elements of Algebra. Geometry, Numbers, Equations

Stillwell, John:

ISBN 10: 0387942904 / ISBN 13: 9780387942902

Verlag: New York/Heidelberg, Springer (Undergraduate Texts in Mathematics / UTM), 2001

Beschreibung

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. // VERSAND ERST WIEDER AB DEM 22.08.2025 // SHIPMENT AFTER AUGUST 22. // Sprache: Englisch Gewicht in Gramm: 600 [Stichwörter: ].

Bestandsnummer des Verkäufers 78975

Bibliografische Details

• Titel: Elements of Algebra. Geometry, Numbers, Equations
• Verlag: New York/Heidelberg, Springer (Undergraduate Texts in Mathematics / UTM)
• Erscheinungsjahr: 2001
• Sprache: Englisch
• ISBN-10: 0387942904
• ISBN-13: 9780387942902
• Einband: Hardcover
• Auflage: 1. Auflage
• Zustand: Akzeptabel
• Verkäuferkataloge:
  • Mathematik

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.