This textbook is devoted to the study of some simple but
representative nonlinear boundary value problems by topological
methods. The approach is elementary, with only a few model ordinary
differential equations and applications, chosen in such a way that
the student may avoid most of the technical difficulties and focus
on the application of topological methods. Only basic knowledge of
general analysis is needed, making the book understandable to
non-specialists. The main topics in the study of boundary value
problems are present in this text, so readers with some experience
in functional analysis or differential equations may also find some
elements that complement and enrich their tools for solving
nonlinear problems. In comparison with other texts in the field,
this one has the advantage of a concise and informal style, thus
allowing graduate and undergraduate students to enjoy some of the
beauties of this interesting branch of mathematics. Exercises and
examples are included throughout the book, providing motivation for
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