This book primarily focuses on rigorous mathematical formulation and treatment of static
problems arising in continuum mechanics of solids at large or small strains as well as their
various evolutionary variants including thermodynamics. As such the theory of boundary- or
initial-boundary-value problems for linear or quasilinear elliptic parabolic or hyperbolic
partial differential equations is the main underlying mathematical tool along with the
calculus of variations. Modern concepts of these disciplines as weak solutions polyconvexity
quasiconvexity nonsimple materials materials with various rheologies or with internal
variables are exploited. This book is accompanied by exercises with solutions and appendices
briefly presenting the basic mathematical concepts and results needed. It serves as an advanced
resource and introductory scientific monograph for undergraduate or PhD students in programs
such as mathematical modeling applied mathematics computational continuum physics and
engineering as well as for professionals working in these fields.
