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Laddar... Theory and Application of Infinite Seriesav Konrad Knopp
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Unusually clear and interesting classic covers real numbers and sequences, foundations of the theory of infinite series and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, other topics). Exercises throughout. Ideal for self-study. Inga biblioteksbeskrivningar kunde hittas. |
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Google Books — Laddar... GenrerMelvil Decimal System (DDC)515.243Natural sciences and mathematics Mathematics Analysis General aspectsKlassifikation enligt LCBetygMedelbetyg:
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As with most books on higher mathematics that I possess, the book contains theorems, proofs, definitions, workable problems, detailed examples, and so on. While most of the book is text, it does contain plenty of formulas and some graphs. The book is pretty long, but it is not the longest mathematical treatise that I have.
The pros of the book are that it is an in-depth approach to the subject, it has the aforementioned positives, it has plenty of footnotes, and the work states the mathematics quite clearly throughout. Sometimes when people get really far into higher mathematics, they forget that not everyone knows what they are talking about. However, since the book is generally written for people studying that subject, it is a forgivable error.
The cons of the book are more difficult to list. I can’t say the subject is outdated or somewhat useless since Infinite Series come up a lot in mathematics and the subject hasn’t changed all that much. Also, since the book is quite thorough and has practice problems it makes it even more useful.
The book has a detailed Bibliography with such luminaries as Isaac Newton, Leonhard Euler, Karl Gauss, John Wallis, Augustin-Louis Cauchy and so on. If you are looking for a specific portion of the book, there is an index organized by subject name.
All in all, this book was really well done. If you are a fan of reading old mathematical texts, this book might be worth your time. ( )