Foundations of Algebraic Analysis (PMS-37), Volume 37 (Princeton Mathematical Series) (Princeton Mathematical Series, 37) - Softcover

Kashiwara, Masaki

Softcover

ISBN 10: 0691628327 ISBN 13: 9780691628325

Verlag: Princeton University Press, 2017

Inhaltsangabe

The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal analysis starting from its foundations. The book begins with the definition of a hyperfunction. It then carefully develops the microfunction theory and its applications to differential equations and theoretical physics. It also provides a description of microdifferential equations, the microlocalization of linear differential equations. Finally, the authors present the structure theorems for systems of microdifferential equations, where the quantized contact transformations are used as a fundamental device.

The microfunction theory, together with the quantized contact transformation theory, constitutes a valuable new viewpoint in linear partial differential equations.

Originally published in 1986.

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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.

Details zur Ausgabe

• Verlag: Princeton University Press
• Erscheinungsdatum: 2017
• Sprache: Englisch
• ISBN 10: 0691628327
• ISBN 13: 9780691628325
• Einband: Tapa blanda
• Anzahl der Seiten: 268
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar