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Stochastic Versus Deterministic Systems Of Iterative Processes
Continuous state dynamic models can be reformulated into discrete state processes. This process generates numerical schemes that lead theoretical iterative schemes. This type of method of stochastic modelling generates three basic problems. First, the fundamental properties of solution, namely, existence, uniqueness, measurability, continuous dependence on system parameters depend on mode of convergence. Second, the basic probabilistic and statistical properties, namely, the behavior of mean, variance, moments of solutions are described as qualitative/quantitative properties of solution process. We observe that the nature of probability distribution or density functions possess the qualitati...
Black Male Success in Higher Education
For more than 175 years, historically Black colleges and universities (HBCUs) have played a significant role in educating Black students. This book examines the experiences of a cohort of 16 Black male math majors at Morehouse College referred to as “the mathematical brotherhood.” Through the lenses of Black masculinity and critical race theory, the author employs an asset-based approach to tell a captivating story about this cohort within a racially affirming learning community. Readers will hear how Morehouse empowers the students, as well as how they navigate and manage ongoing racial challenges, mathematical spaces, and society. Amplifying the voices of the participants, the study sh...
Creators of Mathematical and Computational Sciences
The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.
Combined Membership List
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
Top-down Calculus
This textbook was designed for a first course in differential and integral calculus, and is directed toward students in engineering, the sciences, mathematics, and computer science. Its major goal is to bring students to a level of technical competence and intuitive understanding of calculus that is adequate for applying the subject to real world problems. The text contains major sections on: (1) linear functions and derivatives; (2) computing derivatives; (3) applications of derivatives; (4) integrals; and (5) infinite series. The activities contained within these chapters are designed so that students can first study the exercise set and the solutions. Next, the students are asked to make modifications to the original problem, solve it, and move on to the variations. The appendices include math tables, additional reading and exercises, solutions, and hints to the exercises. (TW)
