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Reverse Mathematics
Reverse mathematics studies the complexity of proving mathematical theorems and solving mathematical problems. Typical questions include: Can we prove this result without first proving that one? Can a computer solve this problem? A highly active part of mathematical logic and computability theory, the subject offers beautiful results as well as significant foundational insights. This text provides a modern treatment of reverse mathematics that combines computability theoretic reductions and proofs in formal arithmetic to measure the complexity of theorems and problems from all areas of mathematics. It includes detailed introductions to techniques from computable mathematics, Weihrauch style ...
Qualitative Mathematics for the Social Sciences
This book combines psychological and mathematical perspectives to analyse how qualitative mathematics can be used to create models of social and psychological processes.
Mixed Hodge Structures on Alexander Modules
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Multiplicity-free Representations of Algebraic Groups
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A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions
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Higher Airy Structures, $mathcal {W}$ Algebras and Topological Recursion
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