Are UK/USA Math Books Better for Self-Learning Than Eastern European Ones?

[hellbike]

I wonder if mathematical books from USA/UK better than for example russian books?

I use mostly russian ( i live in eastern Europe), and they are hard for self-learning person (i'm thinking about books for mathematicians-to-be, not engineers). I wonder if books that are used in UK/USA sre much better.

I was using Fichtenholz's book for calculus till now, but I'm thinking about changing to Spivak.

I would like to know opinion of someone, who have had experience with both - eastern and western books.

Also, Correcting my english is welcome.

 

[alena_S]

It is difficult to answer this question definitively as it depends on many factors such as the particular author, the level of difficulty, the topics covered, and the style of explanation. Generally speaking, the quality of mathematical books from the US or UK are often high, though this does not necessarily make them better than Russian books for all learners. Ultimately, the best book for any individual learner will depend on their learning style and preferences. For example, some people may find that Spivak's book is more accessible than Fichtenholz's, while others may prefer the latter. Therefore, it is best to read reviews and sample chapters of different books before deciding which one is best for you.

 

[charng]

I have had experience with both Eastern European and Western mathematical books. In my opinion, the quality of a mathematical book is not determined by its country of origin, but rather by the author's expertise and approach to teaching. Both Eastern European and Western mathematicians have made significant contributions to the field and have produced excellent textbooks.

That being said, it is important to consider your personal learning style when choosing a mathematical book. Some books may be more suited for self-learning while others may require a more guided approach. It is also helpful to seek recommendations from experienced mathematicians or professors who have used a variety of textbooks in their teaching.

Regarding your specific examples, Fichtenholz's book for calculus is a well-respected textbook and has been used by many mathematicians in Eastern Europe. However, if you feel that Spivak's book may better suit your learning style, then it may be worth considering a switch. Ultimately, the most important factor is finding a book that helps you understand and appreciate the subject.

In terms of language, it is important to have a good grasp of English when studying mathematics as it is the universal language of the field. However, it is understandable that English may not be your first language and I encourage you to continue practicing and improving your skills.

In conclusion, the quality of a mathematical book should not be determined by its country of origin, but rather by the author's expertise and your personal learning style. I wish you all the best in your mathematical journey.