The Foundations of Differential Geometry

Oswald Veblen, J. H. C. Whitehead

ISBN 10: 0521066743 / ISBN 13: 9780521066747

Verlag: Cambridge University Press, GB, 1932

Beschreibung

This book contains a set of axioms for differential geometry and develops their consequences up to a point where a more advanced book might reasonably begin. Analytical operations with co-ordinate systems are continually used in differential geometry, a typical process being to 'choose a co-ordinate system such that .' It is therefore natural to state the axioms in terms of an undefined class of 'allowable' co-ordinate systems, and to deduce the properties of the space from the nature of the transformations of co-ordinates permitted by the axioms. These earlier axioms are found to be adequate for the differential geometry of an open simply connected space, the most elementary theorems of which occupy the greater part of Chapters III-V. The more general axioms, in terms of allowable co-ordinate systems and without restrictions on the connectivity of the space, are given in Chapter IV.

Bestandsnummer des Verkäufers LU-9780521066747

Bibliografische Details

• Titel: The Foundations of Differential Geometry
• Verlag: Cambridge University Press, GB
• Erscheinungsjahr: 1932
• Sprache: Englisch
• ISBN-10: 0521066743
• ISBN-13: 9780521066747
• Einband: Paperback
• Zustand: New
• Gewicht: 150 Gramm

Über diesen Titel

Inhaltsangabe

This book contains a set of axioms for differential geometry and develops their consequences up to a point where a more advanced book might reasonably begin.

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.