Titlebook: Eigenvalue and Eigenvector Problems in Applied Mechanics; Sorin Vlase,Marin Marin,Andreas ?chsner Book 2019 Springer Nature Switzerland AG

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Vectors,Mechanics uses physical quantities that cannot be characterized only by their magnitude (how it happens with a scalar) but also need other attributes to define them, namely the direction, or point of application (fixed or mobile).

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Matrices,We introduce in the following the basic notions about matrices and the basic properties interesting for our presentation. A number of other properties will be presented in the following chapters. A matrix of dimension . × . is represented by a table with . lines and . columns (in box bracket or parentheses).

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Quadratic Forms,In the following paragraphs we will introduce the notion of quadratic forms of two or more variables. These forms can be introduced starting from several types of problems in which they have a central role.

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Strain and Stress,Considering a continuous solid, a deformation of this means that a curve changes its length when it changes its position.

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Modal Analysis,In many problems of mechanics of discrete systems, by linearizing the forces that are manifested between different components of the system, the motion equations are obtained in the form

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Sorin Vlase,Marin Marin,Andreas ?chsnerPresents several problems of applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors.Studies mathematical structures such as quadratic forms, b