Authors:
- Exercises at the ends of chapters or sections
- Solutions to selected exercises in the book
- Detailed Illustrations
Part of the book series: Applied Mathematical Sciences (AMS, volume 149)
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Table of contents (17 chapters)
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Front Matter
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Part III
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Front Matter
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About this book
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
Authors and Affiliations
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Department of Civil Engineering, Tohoku University, Sendai, Japan
Kiyohiro Ikeda
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Department of Economics and Business Administration, Tokyo Metropolitan University, Hachioji, Japan
Kazuo Murota
About the authors
Bibliographic Information
Book Title: Imperfect Bifurcation in Structures and Materials
Book Subtitle: Engineering Use of Group-Theoretic Bifurcation Theory
Authors: Kiyohiro Ikeda, Kazuo Murota
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-030-21473-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-21472-2Published: 07 October 2019
Softcover ISBN: 978-3-030-21475-3Published: 07 October 2020
eBook ISBN: 978-3-030-21473-9Published: 25 September 2019
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 3
Number of Pages: XXV, 590
Number of Illustrations: 206 b/w illustrations, 33 illustrations in colour
Additional Information: 2nd edition
Topics: Systems Theory, Control, Control and Systems Theory, Mathematical and Computational Engineering, Dynamical Systems and Ergodic Theory, Solid Mechanics