A proof-heavy, open-access graduate textbook on algebraic combinatorics, including a full proof of the Littlewood-Richardson rule.
A Singular Mathematical Promenade
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abstract
This is neither an elementary introduction to singularity theory nor a specialized treatise containing many new theorems. The purpose of this little book is to invite the reader on a mathematical promenade. We pay a visit to Hipparchus, Newton and Gauss, but also to many contemporary mathematicians. We play with a bit of algebra, topology, geometry, complex analysis and computer science. Hopefully, some motivated undergraduates and some more advanced mathematicians will enjoy some of these panoramas.
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An Introduction to Algebraic Combinatorics
A proof-heavy, open-access graduate textbook on algebraic combinatorics, including a full proof of the Littlewood-Richardson rule.