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Maths Lover
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which books do you think are good to beginners in topology ?
for someone don't know any thing in topology and little set theory ?
for someone don't know any thing in topology and little set theory ?
Maths Lover said:which books do you think are good to beginners in topology ?
for someone don't know any thing in topology and little set theory ?
lavinia said:what kind of topology do you want to study?
xepma said:Munkres - Topology
Sankaku said:Munkres is a solid, well-written textbook, but the required maturity level is reasonably high. Mendelson is a little gentler introduction that starts with more intuitive metric spaces. It is also much less expensive.
https://www.amazon.com/dp/0486663523/?tag=pfamazon01-20
If you get through that, then buy Munkres and go on from there.
Robert1986 said:I have never had a topology class and I wanted to learn some before I started grad school (I just started this semester.) So, someone recommended the book General Topology by Kelley. So, I bought it because of the recommendation and because it happened to be dirt cheap for a new copy on Amazon. When I read it, I had had some exposure to the topology of the real line, so I was at least familiar with stuff like open sets (though only on the real line and R^n). Kelley doesn't really give motivations for his definitions so if you haven't had a course on real analysis, I definitely would not recommend this book.
However, I have really liked it, and I have also read through Munkres, and I think Kelley is better suited if you already had a course which exposes you to topology in R^n. However, lots of people disagree with me on this.
Topology is a branch of mathematics that studies the properties of spaces that are preserved under continuous deformations, such as stretching and bending, but not tearing or gluing.
Some popular books for beginners in topology include "Topology" by James R. Munkres, "Introduction to Topology: Third Edition" by Bert Mendelson, and "A First Course in Topology: Continuity and Dimension" by John McCleary.
When choosing a topology book for beginners, it is important to look for a clear and concise writing style, plenty of examples and exercises, and a gradual progression of concepts from basic to more advanced.
Yes, there are many online resources for learning topology, including lecture notes, video lectures, and interactive tutorials. Some popular websites for topology resources include Topology Atlas, Topology Zoo, and Topology Junkie.
Topology has many applications in real life, such as in the study of networks, shape analysis, and data analysis. It is also used in fields such as physics, biology, and engineering to model and understand complex systems. Additionally, topology has practical applications in areas such as computer science and robotics.