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thalassophile
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I want to be able to read bold research that hasn't yet been translated into English. There are so many wide-open problems out there in this field...
Differential geometry is a branch of mathematics that studies the properties of space and curves using techniques from calculus and linear algebra.
Differential geometry is a fundamental tool in many fields of mathematics and science, including physics, engineering, and computer graphics. It allows us to understand and describe the geometry of curved surfaces and spaces, which are essential for many real-world applications.
The best foreign language to study for differential geometry would depend on your specific research interests and the availability of resources in that language. However, some commonly used languages in the field include French, German, and Russian.
Yes, a strong foundation in calculus, linear algebra, and geometry is necessary to understand and apply the concepts of differential geometry. It is also helpful to have knowledge of multivariable calculus and vector calculus.
Yes, there are many online resources and courses available for studying differential geometry, including video lectures, textbooks, and interactive tutorials. Some popular platforms for online learning include Coursera, Khan Academy, and MIT OpenCourseWare.