The Theory of probability: explorations and Applications/ Santosh S Venkatesh

Includes index

A: Elements --
Probability spaces -- Conditional probability -- A first look at independence -- probability sieves -- Numbers play a game of chance -- The Normal law -- Probabilities on the real line -- The Bernoulli schema -- The Essence of randomness -- The Coda of the normal --
B: Foundations --
Distribution functions and measure -- Random variables -- great expectations -- Variations on a theme of integration -- Laplace transforms -- The law of large numbers -- From inequalities to concentration -- Poisson approximation -- Convergence in law selection theorems -- Normal approximation

'This book presents one of the most refreshing treatments of the theory of probability. By providing excellent coverage with both intuition and rigor, together with engaging examples and applications.
'This book does an excellent job of covering the basic material for a first course in the theory of probability. It is notable for the entertaining coverage of many interesting examples, several of which give a taste of significant fields where the subject is applied.