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This compact course is written for the mathematically literate reader who wants to learn to analyze data in a principled fashion. The language of mathematics enables clear exposition that can go quite deep, quite quickly, and naturally supports an axiomatic and inductive approach to data analysis. Starting with a good grounding in probability, the reader moves to statistical inference via topics of great practical importance – simulation and sampling, as well as experimental design and data collection – that are typically displaced from introductory accounts. The core of the book then...

This textbook serves as an introduction to the fundamental chemistry principles that guide the synthesis and dictate the properties of nanomaterials. Key chemistry and engineering concepts are looked at through the lens of important and well-characterized nanomaterials, including quantum dots, carbon nanotubes, graphene, and noble metal nanocrystals. The book provides a focused, detailed look into the chemical bonding and structure of the most important, selected nanomaterials. Special emphasis is placed on how a nanomaterial's properties are derived from chemical bonding at the atomic and...

There are many interactions between noncommutative algebra and representation theory on the one hand and classical algebraic geometry on the other, with important applications in both directions. The aim of this book is to provide a comprehensive introduction to some of the most significant topics in this area, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities. The book is based on lecture courses in noncommutative algebraic geometry given by the authors at a Summer Graduate School at the...