Abstract
This chapter discusses the numerical, algebraic, and analytical results for series and calculus. The chapter reviews the algebraic results involving real and complex numbers; discusses the properties of the modulus and complex conjugate; and describes the binomial theorem for positive integral exponents. If n is a positive integer, the binomial expansion of (a + b)n contains n + 1 terms, and so it is a finite sum. However, if n is not a positive integer (it may be a positive or negative real number) the binomial expansion becomes an infinite series. The generation of the binomial coefficients ▪ is discussed in a simple manner by means of a triangular array called Pascal's triangle. The entries in the nth row are the binomial coefficients ▪ (k = 0, 1, 2 , . , n). The chapter also reviews the Bernoulli and Euler Numbers and polynomials.
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