Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory: 149 (Applied Mathematical Sciences) - Hardcover

Murota, Kazuo; Ikeda, Kiyohiro

 
9783030214722: Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory: 149 (Applied Mathematical Sciences)
Hardcover
ISBN 10: 3030214729 ISBN 13: 9783030214722
Verlag: Springer, 2019

Inhaltsangabe

Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.

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Über die Autorin bzw. den Autor

Kiyohiro Ikeda is a Professor in the Department of Civil Engineering, Graduate School of Engineering at Tohoku University. Kazuo Murota is a Professor in the Department of Mathematical Informatics, Graduate School of Information Science and Technology at University of Tokyo.

Von der hinteren Coverseite

This book provides a modern static imperfect bifurcation theory applicable to bifurcation phenomena of physical and engineering problems and fills the gap between the mathematical theory and engineering practice.

Systematic methods based on asymptotic, probabilistic, and group theoretic standpoints are used to examine experimental and computational data from numerous examples, such as soil, sand, kaolin, honeycomb, and domes. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its applications for practical problems, is illuminated by numerous examples. Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory.

This third edition strengthens group representation and group-theoretic bifurcation theory. Several large scale applications have been included in association with the progress of computational powers. Problems and answers have been provided.

 Review of First Edition:

"The book is unique in considering the experimental identification of material-dependent bifurcations in structures such as sand, Kaolin (clay), soil and concrete shells. … These are studied statistically. … The book is an excellent source of practical applications for mathematicians working in this field. … A short set of exercises at the end of each chapter makes the book more useful as a text. The book is well organized and quite readable for non-specialists."

 Henry W. Haslach, Jr., Mathematical Reviews, 2003

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Verlag
Springer
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
3030214729
ISBN 13 
9783030214722
Einband
Tapa dura
Auflage
3
Anzahl der Seiten
618
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9783030214753: Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory: 149 (Applied Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  3030214753 ISBN 13:  9783030214753
Verlag: Springer, 2020
Softcover