Applied Mathematical Sciences
cover

Imperfect Bifurcation in Structures and Materials

Engineering Use of Group-Theoretic Bifurcation Theory

Authors: Ikeda, Kiyohiro, Murota, Kazuo

  • Exercises at the ends of chapters or sections
  • Solutions to selected exercises
  • Detailed illustrations
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書籍の購入

イーブック n/a
  • ISBN 978-3-030-21473-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式:
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
ハードカバー n/a
  • ISBN 978-3-030-21472-2
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この教本について

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

著者について

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.

書籍の購入

イーブック n/a
  • ISBN 978-3-030-21473-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式:
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
ハードカバー n/a
  • ISBN 978-3-030-21472-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
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書誌情報

Bibliographic Information
Book Title
Imperfect Bifurcation in Structures and Materials
Book Subtitle
Engineering Use of Group-Theoretic Bifurcation Theory
Authors
Series Title
Applied Mathematical Sciences
Series Volume
149
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
イーブック ISBN
978-3-030-21473-9
DOI
10.1007/978-3-030-21473-9
ハードカバー ISBN
978-3-030-21472-2
Series ISSN
0066-5452
Edition Number
3
Number of Pages
X, 566
Number of Illustrations
206 b/w illustrations, 33 illustrations in colour
Additional Information
2nd edition
Topics