Nonlinear Functional Analysis: A First Course (Texts and Readings in Mathematics) - Softcover

Kesavan, S.

Softcover

ISBN 10: 9386279851 ISBN 13: 9789386279859

Verlag: Jainendra K Jain, 2021

Inhaltsangabe

The purpose of this book is to provide an introduction to the theory of the topological degree and to some variational methods used in the solution of some nonlinear equations formulated in Banach or Hilbert spaces. While the choice of topics and the treatment have been kept sufficiently general so as to interest all students of higher mathematics, the material presented will be particularly useful for students aspiring to work in the applications of mathematics, especially in the area of partial differential equations.

The first chapter gives a brisk introduction to differential calculus in normed linear spaces and some important classical theorems of analysis are proved. The second chapter develops the theory of the topological degree in finite dimensional Euclidean spaces while the third chapter extends this study to cover the theory of the Leray-Schauder degree in infinite dimensional Banach spaces. Applications, especially to fixed point theorems, are presented. The fourth chapter gives an introduction to bifurcation theory. The last chapter studies some methods to find critical points of functionals defined on Banach spaces, with emphasis on min-max methods. The text is punctuated throughout with exercises which prove additional results or indicate applications, especially to nonlinear partial differential equations.

The first edition of this book has been very well received and it is hoped that this (second) edition will prove to be even more user-friendly. The presentation has been completely overhauled, without altering the structure of the earlier edition. Many definitions and statements of results, and their proofs, have been rewritten in the interest of greater clarity of exposition. A section on monotone mappings has been added and a few more important fixed point theorems have been covered.

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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: Jainendra K Jain
• Erscheinungsdatum: 2021
• ISBN 10: 9386279851
• ISBN 13: 9789386279859
• Einband: Tapa blanda
• Sprache: Englisch
• Auflage: 2
• Anzahl der Seiten: 178
• Kontakt zum Hersteller: Nicht verfügbar