Introductory Measure Theory -- Random Variables -- Inequalities -- Characteristic Functions -- Convergence -- The Law of Large Numbers -- The Central Limit Theorem -- The Law of the Iterated Logarithm -- Limit Theorems; Extensions and Generalizations -- Martingales."I know it’s trivial, but I have forgotten why". This is a slightly exaggerated characterization of the unfortunate attitude of m…
to MuPAD -- Mathematical graphics with MuPAD -- to calculus of one variable -- Multivariable calculus -- Algebra with MuPAD -- Data visualization and elementary statistics -- A brief introduction to programming.The world of mathematics is probably one of the most fascinating creations of mankind. The world of mathematics with a Computer Algebra System, like MuPAD, is even more fascinating. With…
Overview of Geometric Data Analysis (‘Overview’) -- Correspondence Analysis -- Euclidean Cloud -- Principal Component Analysis -- Multiple Correspondence Analysis (MCA) -- Structured Data Analysis -- Stability of a Euclidean Cloud -- Inductive Data Analysis -- Research Case Studies -- Mathematical Bases.Geometric Data Analysis (GDA) is the name suggested by P. Suppes (Stanford University) t…
Prologue: The Demographer’s Ken: 50 Years of Growth and Change -- Prologue: The Demographer’s Ken: 50 Years of Growth and Change -- Population Structure -- Age and Sex -- Population Distribution and Suburbanization -- Marriage and Family -- Demography of Gender -- Demography of Aging -- Demography of Race and Ethnicity -- Labor Force -- Population Processes -- Fertility -- Infant Mortality …