Calculus is a very wide ranging subject, which is not really possible to generalise (particularly since you do not indicate what kind of level of calculus you wish summarised- e.g beginners, intermediate, post-grad etc...)
Newton and Leibniz developed the calculus.
Issac Newton and Gottfried Leibniz invented the calculus and argued the rest of their lives over who had the priority in this invention.
Issac Newton and Gottfried Leibniz invented the calculus and argued the rest of their lives over who had the priority in this invention.
Calculus was created to solve problems in physics that could not be solved given the mathematical methods available at the time. One of my teachers said that Newton invented Calculus to understand the laws governing planets' elliptical rotations around the sun.
No calculus is harder, because calculus is basically a combination of algebra and trigonometry, so you need algebra to do calculus. Also, calculus involves limits, differentiation, and integration. Integration makes algebra look like kindergarten. +++ Meaningless question, ditto with the answers I'm afraid. These are not separate entities but all fields of mathematics, and you use algebra in expressing and solving mathematical problems. Calculus is NOT "basically a combination of algebra and trigonometry". You can differentiate and integrate trig. functions, but although calculus alone does not rely on trigonometry for its existence, its manoeuvres are all algebraic steps. As to comparative difficulty, that is entirely down to you. If you find algebra difficult you will find trigonometry and calculus difficult, because algebra is used to describe those two (and any other) mathematical process. Algebra is not an isolated topic!
Calculus
Calculus is a mathematical technique: it is not a unit or tool for measurement.
I think you are going for calculus.
Murray H. Protter has written: 'Calculus with analytic geometry: a second course' -- subject(s): Calculus, Geometry, Analytic 'Modern mathematical analysis' -- subject(s): Mathematical analysis 'Modern mathematical analysis and answers book' 'Basic elements of real analysis' -- subject(s): Mathematical analysis 'Calculus with analytic geometry' -- subject(s): Analytic Geometry, Calculus, Geometry, Analytic
Calculus was invented, or developed, independently by Newton and by Leibniz.
Newton's mathematical contribution is the mathematical law of Gravity and the calculus. F=mGM/r2, is introduced mathematical physics, modern physics.
Robert A. Adams has written: 'Calculus' 'Calculus - a Complete Course' 'Calculus of several variables' -- subject(s): Calculus, Functions of several real variables, Vector analysis 'Single Variable Calculus Edition' 'Calculus of Several Variables' 'Calculus Complete Course'
Mark M. Meerschaert has written: 'Mathematical modeling' -- subject(s): Mathematical models 'Stochastic models for fractional calculus' -- subject(s): Fractional calculus, Diffusion processes, Stochastic analysis 'Mathematical Modeling'
Horst von Sanden has written: 'Practical mathematical analysis' -- subject(s): Calculus, Functions, Mathematical analysis 'Praktische Mathematik' -- subject(s): Calculus, Functions
The mathematical field known as calculus studies rates of change. Calculus is interesting because it brings together most of the mathematical concepts that you learn before taking calculus, such as algebra, trigonometry, and functions, and gives them very realistic applications. One of the most applicable and understandable rates of change for those who have not taken calculus is speed. Speed is the rate of change in position over time, and is studied in depth in every calculus class.
calculus and vector algebra
That 'thing' is called Calculus.