Mathematics

calculus free book download volume 1

Calculus Books Free Download

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering …

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what is k-means clustering

What is K-Means Clustering?

Definition: K-Means Clustering is an unsupervised machine learning algorithm that divides the observations into “K” number of clusters by grouping the data points together. K is the number of centroids that we need in a dataset. Every cluster has a centroid representing the center of a cluster. The algorithm allocates each data point to the …

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ramanujan proved wrong

Ramanujan proved wrong! 1 + 2 + 3 + 4 . . . ≠ -1/12

Ramanujan proved wrong! 1 + 2 + 3 + 4 . . . ≠ -1/12 Ramanujan #SrinivasaRamanujan #RamanujanSummation #GrandiSeries In this video lecture we will contradict the proof of Ramanujan summation of natural numbers 1+2+3+4…..=-1/12 and prove it to be equal to -1/8.done in our previous video titled Strange Ramanujan Summation. Ramanujan wrote a letter …

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Ramanujan Summation

Strange Ramanujan Summation 1 + 2 + 3 + 4 +… … … = -1/12

Strange Ramanujan Summation  1 + 2 + 3 + 4 +….. =  -1/12  #Ramanujan #SrinivasaRamanujan #RamanujanSummation #GrandiSeries In this video lecture we will discuss the proof of Ramanujan summation of natural numbers  1+2+3+4…..=-1/12. Ramanujan wrote a letter to Cambridge mathematician G.H Hardy and in the 11 page letter there were a number of interesting results …

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Don’t study mathematics learn Mathematics

How to learn Mathematics? Don’t study mathematics learn Mathematics. First of all Don’t study mathematics learn Mathematics and practice it. The important key of the mathematics is practice. Most students realize that mugging the formula is not efficient to solving the problem in the exam. Some students do this anyway, because so far they have gotten away …

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