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

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Discussion Overview

The discussion revolves around the value and relevance of "A Course of Higher Mathematics" by Smirnov for self-study in mathematics, particularly in relation to physics. Participants explore its historical context, content breadth, and comparative quality with modern texts.

Discussion Character

  • Debate/contested
  • Exploratory
  • Technical explanation

Main Points Raised

  • Some participants question whether the book is worthwhile for self-study, considering its series format may provide continuity.
  • One participant found it useful for self-study of calculus but expressed concern that modern texts may have surpassed it.
  • There is uncertainty about the book being out of date despite its broad coverage of mathematics.
  • Another participant considers it one of the best textbooks on analysis for physicists.
  • Concerns are raised about the quality of Soviet-era textbooks, with some participants expressing skepticism about their qualifications.
  • One participant argues that Soviet-era books have significantly aided their understanding, suggesting they include well-chosen examples and are written with clarity.
  • Another participant counters the skepticism about Soviet books, claiming that many from that period are of high quality, contrasting them with contemporary texts that may be less reliable.

Areas of Agreement / Disagreement

Participants exhibit a mix of opinions, with some expressing confidence in the book's quality while others remain skeptical due to its Soviet origins. The discussion does not reach a consensus on its overall value or relevance.

Contextual Notes

Participants reference the historical context of the book and its potential impact on learning, but there are unresolved questions about the assumptions made in the text and its applicability to 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Is it out of date?But it cover a broad range of mathematics?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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