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pivoxa15
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What are some books that fit this description? i.e. a simple introduction to the subject?
aka, schaum.mathwonk said:its on the shelf at the library right behind brain surgery for clumsy morons.
Differential geometry is a branch of mathematics that studies the properties of curves and surfaces using tools from calculus and linear algebra. It is used to understand the geometry of objects in higher dimensions and is applied in fields such as physics, engineering, and computer graphics.
Regular geometry deals with the properties of objects in the Euclidean space, where distances and angles are defined in a straight-forward manner. Differential geometry, on the other hand, studies curved spaces and uses techniques such as calculus to define distances and angles on these spaces.
Differential geometry has many practical applications, including in physics (such as general relativity), computer graphics, robotics, and machine learning. It is also used in fields like cartography, where curved surfaces (such as the Earth) need to be represented accurately on flat maps.
While a basic understanding of calculus and linear algebra is helpful, it is not necessary to have a strong background in mathematics to understand the concepts of differential geometry for dummies. The key is to have a willingness to learn and a good grasp of fundamental mathematical concepts.
There are many resources available to learn more about differential geometry, including textbooks, online courses, and video lectures. It is also helpful to practice solving problems and working through examples to solidify your understanding of the concepts. Additionally, seeking out a mentor or joining a study group can also be beneficial for learning differential geometry.