Albert R. Baswell (Editor)

Series: Advances in Mathematics Research
BISAC: MAT000000
DOI: https://doi.org/10.52305/ZWIM3373

This volume includes seven chapters that detail advances in mathematics research. Chapter 1 presents the notion of integral transforms. Chapter 2 holds an objective to construct a series of game-theoretic capital structure models that maximize the interests of company owners (player I) and managers (player II) under conditions of stock market uncertainty (player III). Chapter 3 focuses on the mathematic performance differences of students of color between charter elementary schools and traditional elementary schools. Chapter 4 demonstrates that the normalized sequence of positive coefficients of a polynomial and the probability density distribution of a discrete random variable are similar to each other. Chapter 5 examines recent advances in mathematics education research through the lens of an emerging multidimensional paradigm of mathematical learning. Chapter 6 develops computable model-free no-arbitrage bounds for non path dependent European and American-type claims via static portfolios and linear programming, and proposes an equal-radius premium based on symmetric downside-risk exposure. Finally, chapter 7 discusses the construction of an intuitive yet rigorous approach to the Twin Prime Conjecture through modular conditions and increasingly constraining systems of congruences.