By any measure the Pythagorean theorem is the most famous statement in all of mathematics. In this book Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it but his proof—if indeed he had one—is lost to us. The theorem itself however is central to almost every branch of science pure or applied. Maor brings to life many ...
I. The Sample SpaceII. Elements of Combinatorial AnalysisIII. Fluctuations in Coin Tossing and Random WalksIV. Combination of EventsV. Conditional Probability. Stochastic IndependenceVI. The Binomial and the Poisson DistributionsVII. The Normal Approximation to the Binomial DistributionVIII. Unlimited Sequences of Bernoulli TrialsIX. Random Variables ExpectationX. Laws of Large NumbersXI. Integral Valued Variables. Generating FunctionsXII. Compound Distributions. Branching ProcessesXIII. Recurre...
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