Овладение математикой STEP: Вероятность и статистика – Том II: Непрерывные модели, предельные законы и продвинутые методы для STEP II и III

Mastering STEP Mathematics — Volume II completes the rigorous preparation begun in Volume I, extending discrete reasoning into the continuous world of probability and advanced statistical thinking. Designed for students preparing for the Cambridge STEP examinations, this volume develops the analytical tools required to handle continuous distributions, transformations, joint densities, limit laws, and advanced expectation techniques — topics that often distinguish top STEP candidates from the rest. Rather than presenting statistics as a collection of formulas, the book emphasises structure, reasoning, and mathematical clarity. Each chapter builds conceptual understanding through carefully selected problems, worked examples, and diagnostic exercises that reveal common traps and deeper insights. This volume is ideal for: • STEP II & III candidates targeting top grades• Further Mathematics students seeking deeper probabilistic understanding• Olympiad-oriented learners strengthening analytical reasoning• Future mathematics, statistics, or engineering undergraduates Together, Volumes I and II form a complete STEP Statistics training programme — guiding students from combinatorial foundations to advanced continuous models with the rigour expected at university level.