How good is "A Course of Higher Mathematics" by Smirnov?

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SUMMARY

The discussion evaluates the value of "A Course of Higher Mathematics" by Smirnov, particularly for self-study in mathematics and physics. Participants highlight its comprehensive coverage of mathematical concepts and its effectiveness in teaching calculus, despite concerns about its Soviet-era origins. The consensus suggests that while some Soviet textbooks may be outdated, Smirnov's work remains a strong resource, especially for physicists. Users recommend checking the preface and introduction for prerequisite knowledge and assessing the author's background to gauge the book's relevance.

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  • Familiarity with calculus concepts
  • Understanding of linear algebra
  • Knowledge of Soviet-era educational methodologies
  • Ability to evaluate academic texts critically
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  • Research the series of textbooks by Landau for comparative analysis
  • Explore modern alternatives to Soviet-era mathematics textbooks
  • Investigate the pedagogical approaches in Soviet mathematics education
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Students and self-learners in mathematics and physics, educators seeking historical context in mathematical literature, and anyone interested in evaluating the effectiveness of Soviet-era textbooks for modern studies.

fxdung
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Is it worthwhile to read the book Course of Higher Mathematics by Smirnov?It is a serie so may be it easy to read because there are not gaps when reading process occur(?) for self-study mathematics for physics?
 
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It was useful for my self study of calculus. But I am afraid modern texts has come after it.
 
Is it out of date?But it cover a broad range of mathematics?
 
I think it's among the best textbooks on analysis, at least for physicists.
 
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But the book written in Soviet period, so I still suspect the qualification of it?(Usually Soviet books are bad books).Is the book a special case?(I know that e.g serie of Landau is good one)
 
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Well, I only know good Russian math and physics textbooks. I guess it's a natural filter. Nobody bothered to translate bad books into English or German ;-)).
 
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I have the book Linear Algebra and Group Theory and it is good, a little advanced for me with my limited LA, but it reads well and the exercises look good.
 
fxdung said:
But the book written in Soviet period, so I still suspect the qualification of it?(Usually Soviet books are bad books).Is the book a special case?(I know that e.g serie of Landau is good one)
What is a bad book for you?

Check the preface and introduction to ascertain the prerequisite knowledge assumed by the author. Read through a few randomly selected pages to get a feel for the language and presentation style of the author, and to see whether it helps you relate to the concepts. Also check the author's biography and academic lineage.

In my opinion, Soviet era books on physics and mathematics that were translated to English have significantly helped me develop an intuitive understanding, more so than contemporary textbooks. They have generally included well-chosen solved examples and answers to the problems. They write with prudence and generally do not repeat themselves. This demands considerable effort on my behalf, but the joy is exponential. If this suits you, Smirnov's series should help with your self-study.
 
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fxdung said:
But the book written in Soviet period, so I still suspect the qualification of it?(Usually Soviet books are bad books).Is the book a special case?(I know that e.g serie of Landau is good one)
Actually it is the other way around. Books on maths and physics from that period are usually very good. Now the number of crackpots' books so large that I am always skeptical to read any text written in Russian.
 
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