Geometric Integration Theory

Steven G. Krantz ; Harold Parks

ISBN 10: 0817646760 / ISBN 13: 9780817646769

Verlag: Birkhäuser, 82, 2008

Beschreibung

Text in English. 339 pp. Light rubbing on the covers. No markings. This textbook introduces geometric measure theory through the notion of currents, Currents-continuous linear functionals on spaces of differential forms-are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis Key features of Geometric Integration Theory: Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry. and many other parts of mathematics Provides considerable background material for the student Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom as well as for selfstudy. The exposition demands minimal background is selfcontained and accessible, and thus is ideal for graduate students and researchers.

Bestandsnummer des Verkäufers 3451

Bibliografische Details

• Titel: Geometric Integration Theory
• Verlag: Birkhäuser, 82
• Erscheinungsjahr: 2008
• Sprache: Englisch
• ISBN-10: 0817646760
• ISBN-13: 9780817646769
• Einband: Hardcover
• Auflage: 1st Edition.
• Zustand: Near Fine
• Verkäuferkataloge:
  • Mathematics

Über diesen Titel

Inhaltsangabe

This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.

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.