2 edition of Theory and application of infinite series. found in the catalog.
Theory and application of infinite series.
Bibliography: p. 556.
|The Physical Object|
|Pagination||xii, 563 p. ;|
|Number of Pages||563|
As with most books on higher mathematics that I possess, the book The book Theory and Application of Infinite Series by Konrad Knopp is an excellent teaching guide and a thorough exploration of the subject. Start your review of Theory and Application of Infinite Series Write a review Shelves: classicsmathematicsnon-fictiontextbooks The book Theory and Application of Infinite Series by Konrad Knopp is an excellent teaching guide and a thorough exploration of the subject. The system of rational numbers and its gaps 2. The first principal criterion and the two comparison tests
The book is pretty long, but it is not the longest mathematical treatise that I have. Therefore, you will see the original copyright references, library stamps as most of these works have been housed in our most important libraries around the worldand other notations in the work. The first principal criterion and the two comparison tests Actually, I hope there aren't, because I can see the book becoming one of my favorites.
Originally published in the German language inthis book is a classic of mathematical clarity. So recently I undertook the task of rewriting the first couple chapters to modern exposition, and then I plan to just transcribe the rest of the book nearly verbatim. The book becomes harder to study when you face with older notations. Convergent sequences 9. It was published by Dover Publications and has a total of pages in the book.
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Sequences of rational numbers 3. It's really a beautiful book and a classic. Very well written but with the problem of very old notation. Within the United States, you may freely copy and distribute this work, as no entity individual or corporate has a copyright on the body of the work.
Download eBook This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. He even gives nice histories of the development of the terminology and notation, usually in footnotes.
Carefully selected exercises have been included throughout, emphasizing applications of the theory, rather than purely theoretical considerations. Rigorous, elucidating and comprehensive By X Avatar on Aug 15, This is a very fantastic book on infinite series.
I take this digression because I feel that this book mainly appeals to the fourth type of mathematician. He is an editor of the Missouri Journal of Mathematical Sciences. It is Okay. Old maybe, but not outdated for a good introduction. This introduction is followed by an extensive account of the theory of sequences and the actual theory of infinite series.
In any case this book deserves to be read by future generations for a long time to come. The first principal criterion and the two comparison tests I felt as though a great deal was lacking. Carefully selected exercises have been included throughout, emphasizing applications of the theory, rather than purely theoretical considerations.
As with most books on higher mathematics that I possess, the book contains theorems, proofs, definitions, workable problems, detailed examples, and so on.
Well, although I say that, the book touches on a great many things but does not go into depth with some other parts. The latter is covered in two stages: 1 the classical theory 2 later developments of the 19th century. This introduction is followed by an extensive account of the theory of sequences and the actual theory of infinite series.
This is confusing as they sometimes come in the middle of an ordered list. I only have two examples, but being a math text where every symbol counts, that's enough for me to abandon the electronic version in favor of the paper version.
For instance, the book does not go too deeply into Continued Fractions. While most of the book is text, it does contain plenty of formulas and some graphs. How to tell if you are a "formalist" -- By V. The root test and the ratio test The rational functions. It is useful mostly for its good examples and its many references to the original writings of mathematicians such as Cauchy, Abel, Dirichlet, Jordan, du Bois-Reymond, and Dini.
I do not recommend the Kindle version. I encountered both problems very early, so there may be many more problems. By Nemat Samadzadeh on Dec 17, Dr. But once you get past these painful introductions, and get used to his style, the rest of the book is really very pleasant to read.
But I don't think it would be good to read as a first introduction to the subject.Nov 10, · Dr. Knopp also has a series of books on the theory of complex functions and are highly recommended.
This is a very fantastic book on infinite series. The coverage of subjects in the book is very comprehensive and goes way beyond a simple introduction to infinite series/5(16).
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Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device atlasbowling.com by: Nov 10, · This is a comprehensive book on the 19th century theory of infinite series. It is useful mostly for its good examples and its many references to the original writings of mathematicians such as Cauchy, Abel, Dirichlet, Jordan, du Bois-Reymond, and Dini/5(16).
Is Knopp's Theory and Application of Infinite Series out of date? How about it? Does my book leave out some important developments? Is it old-fashioned in some other ways? Help with the application of the infinite geometric series rule. 1. Infinite series and the infinite tower.
Here are a few: 1) One of the best applications of infinite series is in harmonic analysis. Any periodic function can be expressed as an infinite series of sine and cosine functions (given that appropriate conditions are satisfied).
This is used. I would really appreciate a good book which discuss the concepts as deeply as possible. Theory and Application of Infinite Series by Konrad Knopp. I saw the book its goo but looking for a more modern book which includes the last years work as well. Thanks. Jam.