Освоение статистики STEP: Вероятность и статистика – Том I: Дискретные модели, комбинаторика и основы для STEP II и III

Mastering STEP Mathematics — Probability & Statistics (Volume I) is a rigorous introduction to discrete probabilistic reasoning for students preparing for Cambridge STEP II and III and other advanced university entrance examinations. Unlike standard textbooks that present probability as a list of formulas, this volume develops the subject from first principles. Beginning with combinatorics and logical counting arguments, the book builds toward expectation methods, generating functions, and the structural reasoning required to solve genuine STEP problems. This book emphasises mathematical maturity, clarity of argument, and disciplined problem solving — the skills examiners reward most. In this volume you will learn: • Advanced combinatorial reasoning and bijective methods• Expectation techniques using indicator variables• Discrete distributions and probabilistic modelling• Generating functions and recursive processes• STEP-style problems requiring insight rather than memorisation Written for ambitious students aiming for top universities, this book forms the foundation for the continuous probability models developed in Volume II. If you are preparing for STEP, MAT (UAT UK), TMUA, or university mathematics, this series provides the structured pathway from school mathematics to true mathematical thinking.