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Published in:
What Is a Computer? Read chapter Read first chapter

2020 | OriginalPaper | Chapter

27. Calculus

Author : Gerard O’Regan

Published in: Mathematics in Computing

Publisher: Springer International Publishing

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Abstract

This chapter provides a very short introduction to calculus and provides a high-level overview of limits, continuity, differentiation, integration, numerical analysis, Fourier series, Laplace transforms and differential equations.

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previous chapter Complex Numbers and Quaternions
next chapter Epilogue
Footnotes
1
The question of who invented the calculus led to a bitter controversy between Newton and Leibniz with the latter accused of plagiarizing Newton’s work. Newton, an English mathematician and physicist, was the giant of the late seventeenth century, and Leibniz was a German mathematician and philosopher. Today, both Newton and Leibniz are credited with the independent development of the calculus.
 
2
The supremum is the least upper bound and the infimum is the greatest lower bound.
 
3
For a function that is continuous at x0 then for any sequence {xn} converging on x0 then limn→∞ f(xn) =  f(x0).
 
Literature
Finney T (1988) Calculus analytic and geometry, 7th edn. Addison Wesley
Metadata
Title
Calculus
Author
Gerard O’Regan
Copyright Year
2020
Book
Mathematics in Computing

Print ISBN: 978-3-030-34208-1

Electronic ISBN: 978-3-030-34209-8

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-34209-8_27

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