Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory

Bender, Carl M.; Orszag, Steven A.

ISBN 10: 0387989315 / ISBN 13: 9780387989310

Verlag: Springer, 1999

Beschreibung

Bestandsnummer des Verkäufers I-9780387989310

Bibliografische Details

• Titel: Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory
• Verlag: Springer
• Erscheinungsjahr: 1999
• Sprache: Englisch
• ISBN-10: 0387989315
• ISBN-13: 9780387989310
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

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.