We offer, in this first chapter, an overview of this book. The book untangles the mechanism of perfect and imperfect bifurcations based on up-to-date mathematics placing more emphasis on engineering pragmatism than on mathematical rigor. First, fundamental issues of a static problem are advanced. Next, an overview of theoretical tools and concepts is presented. Last, the bifurcation of symmetric systems is overviewed using a series of illustrative examples and photographs of materials and structures, such as soil, sand, kaolin, steel, and honeycomb structure.
CITATION STYLE
Ikeda, K., & Murota, K. (2019). Overview of book. In Applied Mathematical Sciences (Switzerland) (Vol. 149, pp. 1–32). Springer. https://doi.org/10.1007/978-3-030-21473-9_1
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