Art of Proving Binomial Identities

Introducing the Binomial Coefficients. Basic Techniques. Combinatorics. Calculus. Probability. Generating Functions. Recurrence Relations and Finite Differences. Special Numbers. Miscellaneous Techniques. Hints and Solutions to Exercises.

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• Teoria dos conjuntos
• Teoria combinatória e dos grafos

Binomial Coefficient;Hypergeometric Terms;Combinatorics;Binomial Identities;Combinatorial identities;Vice Versa;Binomial coefficients;Hypergeometric Representation;Number theory;Negative Binomial Random Variable;Advanced mathematics;Combinatorial Proof;Pure mathematics;Pascal's Triangle;Newton's binomial series;Binomial Theorem;Exponential Generating Function;finite difference calculus;Nonnegative Integers;Ordinary Generating Function;Beta Integral;Maclaurin Series;Negative Binomial Distribution;Blue Balls;Hypergeometric Series;Convolution Property;Hypergeometric Distribution;Probabilistic Proof;Mechanical Summation;Generalized Product Rule;Stirling Numbers;Lattice Path;Red Ball