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Martin Väth
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The question depends so much in your field of interest that it is impossible to give an exhausting answer. Some of my favorites in various fields are the classics

  • Nicolas Bourbaki, General Topology
  • Glen E. Bredon, Topology and Geometry
  • Shui-Nee Chow and Jack K. Hale, Methods of Bifurcation Theory
  • Klaus Deimling, Nonlinear Analysis
  • Albrecht Dold, Lectures on Algebraic Topology
  • Herbert Federer, Geometric Measure Theory
  • Morris W. Hirsch, Differential Topology
  • Thomas J. Jech, Set Theory
  • Tosio Kato, Perturbation Theory for Linear Operators
  • Mark A. Krasnoselskij and Petr P. Zabrejko, Geometrical Methods of Nonlinear Analysis
  • Joram Lindenstrauss and Lior Tzafriri, Classical Banach Spaces (2 volumes)
  • Jacques-Louis Lions and Enrico Magenes, Non-Homogeneous Boundary Value Problems and Applications
  • George W. Whitehead, Elements of Homotopy Theory
  • Eberhard Zeidler, Nonlinear Functional Analysis and Applications (several volumes)

Then there are of course a lot of the Lecture Notes and also some very good books in German.

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