Chapter 4

Nonlinear Transformations

Carlos Polanco


This chapter introduces the definition of nonlinear transformations, their basic properties, and components. It explains their main applications through different examples and gives a first classification, their restrictions, and extensions. It includes special cases showing that it is possible to transform nonlinear equations into linear equations, using nonlinear transformations and it also describes the Least Squares method.

Total Pages: 30-40 (11)

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.Exterior Calculus: Theory and Cases.
.Trefftz and Fundamental Solution-Based Finite Element Methods.
.The Generalized Relative Gol’dberg Order and Type: Some Remarks on Functions of Complex Variables.
.Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties.