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Essay Available:
Pages:
1 page/β‰ˆ275 words
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3 Sources
Style:
APA
Subject:
Mathematics & Economics
Type:
Coursework
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 5.18
Topic:

History of Mathematics

Coursework Instructions:

Answer the question in the task. Don't have to answer all the task question but pls be specific and follow the reading if you can. Just follow the task question and answer. It is not a paper.
This is the requirement given by prof:
You will be familiar with most of the basic concepts discussed from your calculus courses. The interesting part is reading how Euler approached the problem through the excerpts from the book Institutiones Calculi Differentialis (Foundations of Differential Calculus) (Links to an external site.)from 1755. Finding and justifying the correct derivatives for transcendental functions like sine and cosine was still work-in-progress in 1755, over two hundred and seventy years ago. The power and ease with which we apply certain truths in mathematics today is thanks to many hard-won paths and lines of investigation of the type you will follow here. Some people have no time for history because, in this course we will spend time exploring concepts you may already know. To some, this is pointless. But, the point, is to understand how Euler came to know such things, because at this time, this was new knowledge. What we care about in the history of mathematics is how people came to know, why they investigated certain problems, and what they had to work with in their past time and place, to solve these problems and make new discoveries. If we do history well, it can help us find the courage, creativity and inventiveness to make new discoveries in the present.

Coursework Sample Content Preview:

History of Mathematics
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History of Mathematics
Graph theory is the study of graphs made of lines referred to as edges and points known as vertices. Leonhard Euler was the first person to solve the famous problem of the seven bridges of Konigsberg, and his solution is widely believed to be the basis of graph theory and topology (Richeson, 2019). The graph is connected because it is possible to trace a path between every two distinct vertices. It is connected in the sense of a topological space: there are several paths from any point to any other point in the graph. Two conditions for a graph to qualify as an Euler path are: it must be connected (it is possible to get from any vertex to any other vertex by following a sequence of edges), and it must have zero or two vertices of odd degree (if there is a pair of v...
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