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WittyName
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As the title says. Can anyone recommend me some good books for differential geometry(preferably ones with proofs and examples/exercises)?
WittyName said:As the title says. Can anyone recommend me some good books for differential geometry(preferably ones with proofs and examples/exercises)?
Thanks i'll be sure to check them out.jedishrfu said:https://www.amazon.com/dp/0486667219/?tag=pfamazon01-20
or take your pic:
and an ebook to get started right away:
http://samizdat.mines.edu/difgeom/Shr3b.pdf
It's an undergrad course but i want to do some preliminary reading. Yes to both analysis and linear algebra, but no to topology.micromass said:What level should the books be?? Undergrad, grad? Do you know topology, analysis, linear algebra,...??
WittyName said:It's an undergrad course but i want to do some preliminary reading. Yes to both analysis and linear algebra, but no to topology.
micromass said:You can't go wrong with these two books:
https://www.amazon.com/dp/0132641437/?tag=pfamazon01-20
https://www.amazon.com/dp/0132125897/?tag=pfamazon01-20
Differential geometry is a branch of mathematics that studies the properties of curves and surfaces using techniques from calculus and linear algebra. It provides a framework for understanding the geometry of objects in spaces of higher dimensionality.
Differential geometry has many applications in science, including physics, engineering, and even biology. It is used to model and analyze complex systems, such as fluid flow, electromagnetism, and general relativity.
Some key concepts in differential geometry include tensors, manifolds, curvature, and connections. These concepts are essential for understanding the geometry of curved spaces and their applications.
Like any branch of mathematics, differential geometry can be challenging to learn, but with dedication and practice, it can be mastered. It is recommended to have a strong background in calculus and linear algebra before delving into differential geometry.
Some popular books on differential geometry include "Differential Geometry of Curves and Surfaces" by Manfredo do Carmo, "Introduction to Smooth Manifolds" by John M. Lee, and "Riemannian Geometry" by Peter Petersen. It is best to choose a book that aligns with your level of mathematical knowledge and interests.