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The main purpose of this book is to give a survey of some of the most significant achievements obtained by topological methods in Nonlinear analysis during the last three decades. The survey articles presented are concerned with three main streams of research: topological degree, singularity theory, and variational methods. They reflect the personal taste of the authors, all of them well-known and distinguished specialists. A common feature of these articles is to start with a historical introduction and conclude with recent results.