Perturbation Methods in Applied Mathematics (Applied Mathematical Sciences, 34)

Kevorkian, J.; Cole, J.D.

ISBN 10: 0387905073 / ISBN 13: 9780387905075

Verlag: Springer, 1985

Beschreibung

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Bibliografische Details

• Titel: Perturbation Methods in Applied Mathematics (Applied Mathematical Sciences, 34)
• Verlag: Springer
• Erscheinungsjahr: 1985
• Sprache: Englisch
• ISBN-10: 0387905073
• ISBN-13: 9780387905075
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

This book is a revised and updated version, including a substantial portion of new material, of J. D. Cole’s text Perturbation Methods in Applied Mathe­ matics, Ginn-Blaisdell, 1968. We present the material at a level which assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate level course on the subject. The applied mathematician, attempting to understand or solve a physical problem, very often uses a perturbation procedure. In doing this, he usually draws on a backlog of experience gained from the solution of similar examples rather than on some general theory of perturbations. The aim of this book is to survey these perturbation methods, especially in connection with differ­ ential equations, in order to illustrate certain general features common to many examples. The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to_difference equations. In essence, a perturbation procedure consists of constructing the solution for a problem involving a small parameter B, either in the differential equation or the boundary conditions or both, when the solution for the limiting case B = 0 is known. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of B.

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.