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Mathmanman
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I am very curious with what differential geometry is.
Can you send me links, books, and etc? I want to learn it.
Thank you in advance
Can you send me links, books, and etc? I want to learn it.
Thank you in advance
Mathmanman said:Yes I learned integral and differential calculus and linear algebra.
micromass said:Also very good is Millman and Parker: https://www.amazon.com/dp/0132641437/?tag=pfamazon01-20 This one has very good exercises which aren't too difficult. But the book is quite old and feels quite old.
Mathmanman said:I am very curious with what differential geometry is.
Can you send me links, books, and etc? I want to learn it.
Thank you in advance
The best book to learn differential geometry will vary depending on your level of mathematical knowledge and your specific interests within the subject. Some popular choices include "Introduction to Differential Geometry" by Erwin Kreyszig, "Differential Geometry of Curves and Surfaces" by Manfredo Do Carmo, and "Elements of Differential Geometry" by Richard S. Millman and George D. Parker. It may be helpful to read reviews and browse through each book to determine which one seems most suitable for your needs.
Yes, there are several online resources available for learning differential geometry. Some popular options include video lectures on platforms like YouTube and Coursera, as well as free online textbooks such as "Differential Geometry" by Klaus Janich. Additionally, many universities offer free online courses or lecture notes on differential geometry through their websites.
Yes, there are several interactive aids and software programs that can assist in learning differential geometry. Some popular options include the software package "SageMath," which offers interactive tools for visualizing and exploring differential geometry concepts, and the "Geogebra" app, which allows users to create interactive diagrams and explore geometric concepts. Additionally, there are many online tutorials and simulations available that can assist with learning differential geometry in a hands-on way.
While a strong foundation in mathematics is certainly helpful for learning differential geometry, it is not necessarily required. Many introductory textbooks and online resources are designed for beginners and assume no prior knowledge of the subject. However, a basic understanding of calculus and linear algebra will make it easier to grasp some of the more advanced concepts in differential geometry.
Yes, most textbooks on differential geometry will include practice problems or exercises to help reinforce the concepts learned. Additionally, there are many online resources available that offer practice problems and solutions, such as Math Stack Exchange and Khan Academy. Working through these problems can help improve your understanding of differential geometry and prepare you for more complex applications of the subject.