This book is devoted to combinatorial aspects of the theory of symmetric functions. This rich, interesting and highly nontrivial part of algebraic combinatorics has numerous applications to algebraic geometry, topology, representation theory and other areas of mathematics. Along with classical material, such as Schur polynomials and Young diagrams, less standard subjects are also covered, including Schubert polynomials and Danilov–Koshevoy arrays. Requiring only standard prerequisites in algebra and discrete mathematics, the book will be accessible to undergraduate students and can serve as a basis for a semester-long course. It contains more than a hundred exercises of various difficulty, with hints and solutions. Primarily aimed at undergraduate and graduate students, it will also be of interest to anyone who wishes to learn more about modern algebraic combinatorics and its usage in other areas of mathematics.
This book is devoted to combinatorial aspects of the theory of symmetric functions. This rich, interesting and highly nontrivial part of algebraic combinatorics has numerous applications to algebraic geometry, topology, representation theory and other areas of mathematics. Along with classical material, such as Schur polynomials and Young diagrams, less standard subjects are also covered, including Schubert polynomials and Danilov–Koshevoy arrays. Requiring only standard prerequisites in algebra and discrete mathematics, the book will be accessible to undergraduate students and can serve as a basis for a semester-long course. It contains more than a hundred exercises of various difficulty, with hints and solutions. Primarily aimed at undergraduate and graduate students, it will also be of interest to anyone who wishes to learn more about modern algebraic combinatorics and its usage in other areas of mathematics.
While preparing for a long migration, Alexandra Crane's family is concerned that she prefers wandering to staying in formation, but all are surprised when she proves an excellent leader.
This book is all about my Nanna, her life as I knew her as a child. It was written from my heart, it is about the fun and caring times we shared together. A lady who taught me so very much in life. This is the story of My Nanna & Me.
Agatha's cousin Marie Antoinette has come to stay. She can speak two languages, has lovely manners and wears a stylish blue beret. Agatha thinks Marie Antoinette is perfect. So why does Agatha have a stormy feeling in her tummy? This is a story about overcoming jealousy and gaining empathy (because nobody is perfect, not even glamorous little cousins!) The third title in the popular Agatha series with be enjoyed by children and parents alike. Beautifully illustrated by Anna Pignataro
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