Introduction.- Part I: Tools in Mathematical Analysis.- G-Convergence.- Korn's Inequality.- Friesecke-James-Müller's Inequality.- Part II: Dimension Reduction in Classical Elasticity.- Limiting Theories for Elastic Plates and Shells: Nonlinear Bending.- Limiting Theories for Elastic Plates and Shells: Sublinear and Linear.- Linear Theories for Elastic Plates: Linearized Bending.- Infinite Hierarchy of Elastic Shell Models.- Limiting Theories on Elastic Elliptic Shells.- Limiting Theories on Elastic Developable Shells.- Part III: Dimension Reduction in Prestressed Elasticity.- Limiting Theories for Prestressed Films: Nonlinear Bending.- Limiting Theories for Prestressed Films: Von Kármán-like Theory.- Infinite Hierarchy of Limiting Theories for Prestressed Films.- Limiting Theories for Weakly Prestressed Films.- Terminology and Notation.- Index.

Marta Lewicka is a mathematician specializing in the fields of Analysis and Partial Differential Equations. She has contributed results in the theory of hyperbolic systems of conservation laws, fluid dynamics, calculus of variations, nonlinear potential theory, and differential games. She is a Fellow of the American Mathematical Society and holds Professor¿s scientific title awarded by the President of the Republic of Poland. She works at the University of Pittsburgh, USA.