Imperfect Bifurcation in Structures and Materials. Engineering Use of Group-Theoretic Bifurcation Theory.

Ikeda, Kiyohiro; Murota, Kazuo

ISBN 10: 3030214729 / ISBN 13: 9783030214722

Published by Cham, Springer., 2019

About this Item

3rd Ed. XXV, 590 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Applied Mathematical Science. Sprache: Englisch.

Seller Inventory # 43477HB

Bibliographic Details

• Title: Imperfect Bifurcation in Structures and Materials. Engineering Use of Group-Theoretic Bifurcation Theory.
• Publisher: Cham, Springer.
• Publication Date: 2019
• Language: English
• ISBN 10: 3030214729
• ISBN 13: 9783030214722
• Binding: Hardcover
• Edition: 3rd Edition
• Seller catalogs:
  • Mathematik

About this title

Synopsis

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

About the Author

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.