9783540979746: Probability

Synopsis

This textbook provides an elementary introduction to the theory of probability which will be suitable for undergraduates. Its style is deliberately informal and places its emphasis on presenting examples together with intuitive explanations, diagrams and discussion. Prerequisites are minimal in that the first four chapters may be read without reliance on calculus whilst later chapters use only some basic tools from calculus. The first chapter covers the basic definitions of outcomes, discrete distributions, and the laws of additive and multiplicative probabilities. Chapters 2 and 3 cover further material on discrete distributions, countable additivity, random variables, and introduces the binomial and other basic discrete distributions. Chapters 4 and 5 introduce continuous distributions whilst the text concludes with discussion of conditional probabilities and expectations.

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Présentation de l'éditeur

This textbook is ideal for an undergraduate introduction to probability, with a calculus prerequisite. It is based on a course that the author has taught many times at Berkeley. The text's overall style is informal, but all results are stated precisely, and most are proved. Understanding is developed through intuitive explanations and examples. Graphs, diagrams, and geometrical ideals motivate results that might otherwise look likely purely formal manipulations.

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