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|
 Multiple Wiener-Itô Integrals: With Applications to Limit Theorems
The goal of this Lecture Note is to prove a new type of limit theorems for normalized sums of strongly dependent random variables that play an important role in probability theory or in statistical physics. Here non-linear functionals of stationary Gaussian fields are considered, and it is shown that the theory of Wiener–Itô... | | Mathematical and Computational Modeling of Tonality: Theory and Applications
From the Preface:
Blending ideas from operations research, music psychology, music theory, and cognitive science, this book aims to tell a coherent story of how tonality pervades our experience, and hence our models, of music.
The story is told through the developmental stages of the Spiral Array model for tonality, a... | | Programming with Mathematica®: An Introduction
Starting from first principles, this book covers all of the foundational material needed to develop a clear understanding of the Mathematica language, with a practical emphasis on solving problems. Concrete examples throughout the text demonstrate how Mathematica language, can be used to solve problems in science, engineering,... |
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| | An Introduction to Hopf Algebras
The purpose of this book is to provide an introduction to Hopf algebras. This
book differs from other texts in that Hopf algebras are developed from notions of
topological spaces, sheaves, and representable functors. This approach has certain
pedagogical advantages, the foremost being that algebraic geometry and category
theory... | | |
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