Length and Area (American Mathematical Society Colloquium Publications, 30, Band 30) - Softcover

Rado, Tibor

Softcover

ISBN 10: 0821846213 ISBN 13: 9780821846216

Verlag: American Mathematical Society, 2008

Inhaltsangabe

Rado's colloquium is a systematic treatment of Lebesgue theory, with an emphasis on the work of Morrey and of Rado and his students, especially in two dimensions. At the time, there were important current problems surrounding Lebesgue's theory for parameterized and unparameterized surfaces, which the book addresses. The exposition begins with reviews of Lebesgue integration and relevant topics in topology, including Frechet equivalence, the approximation of monotone maps by homeomorphisms, Peano spaces, and a discussion of the topological index of maps into the plane. After a development of further ideas and tools from topology and measure theory, Rado addresses an essential question that equates two sorts of areas for surfaces represented by maps of a 2-cell or a 2-sphere into 3-space.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 0821846213
• ISBN 13: 9780821846216
• Einband: Taschenbuch
• Anzahl der Seiten: 572
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar