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  2. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus.

  3. List of Indian inventions and discoveries - Wikipedia

    en.wikipedia.org/wiki/List_of_Indian_inventions...

    Power series – The Kerala school of astronomy and mathematics or the Kerala school was a school of mathematics and astronomy founded by Madhava of Sangamagrama in Tirur, Malappuram, Kerala, India. Their work, completed two centuries before the invention of calculus in Europe, provided what is now considered the first example of a power series ...

  4. List of common misconceptions - Wikipedia

    en.wikipedia.org/wiki/List_of_common_misconceptions

    Before I was fifteen I had mastered differential and integral calculus." Einstein did, however, fail his first entrance exam into the Swiss Federal Polytechnic School (ETH) in 1895, when he was two years younger than his fellow students, but scored exceedingly well in the mathematics and science sections, and then passed on his second attempt.

  5. Normal distribution - Wikipedia

    en.wikipedia.org/wiki/Normal_distribution

    The simplest case of a normal distribution is known as the standard normal distribution or unit normal distribution. This is a special case when μ = 0 {\textstyle \mu =0} and σ 2 = 1 {\textstyle \sigma ^{2}=1} , and it is described by this probability density function (or density): φ ( z ) = e − z 2 2 2 π . {\displaystyle \varphi (z ...

  6. Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Fourier_transform

    The hypotheses can be weakened, as in the results of Carleson and Hunt, to f(t) e −at being L 1, provided that f be of bounded variation in a closed neighborhood of t (cf. Dini test), the value of f at t be taken to be the arithmetic mean of the left and right limits, and that the integrals be taken in the sense of Cauchy principal values.

  7. Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra

    In mathematics and mathematical logic, Boolean algebra is a branch of algebra.It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers.