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Theory and Application of Infinite Series

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Description

Theory and Application of Infinite SeriesThis classic work, written in a clear and interesting style, with many exercises, offers a thorough and reliable treatment of an important branch of higher analysis. It lends itself well to use in course work; however, because of its consistent clear illustrations of theoretical difficulties, the book is also ideal for self study. Since all higher analysis depends on the theory of numbers, Professor Knopp (formerly Professor of Mathematics, University

This classic work, written in a clear and interesting style, with many exercises, offers a thorough and reliable treatment of an important branch of higher analysis. It lends itself well to use in course work; however, because of its consistent clear illustrations of theoretical difficulties, the book is also ideal for self-study.
Since all higher analysis depends on the theory of numbers, Professor Knopp (formerly Professor of Mathematics, University of T bingen) begins with an introduction to the theory of real numbers, an indispensable foundation for what is to come. This introduction is followed by an extensive account of the theory of sequences and the actual theory of infinite series. The latter is covered in two stages: (1) the classical theory (2) later developments of the 19th century.
Carefully selected exercises have been included throughout, emphasizing applications of the theory, rather than purely theoretical considerations.
Aimed at students already acquainted with the elements of differential and integral calculus, this work grew out of the author's lectures and course work at the universities of Berlin and K nigsberg. This pedagogical background helped him achieve a work of utmost clarity and precision -- one that belongs in the library of every serious mathematician or student of higher analysis.

Binding Type: Paperback
Publisher: Dover Publications
Published: 03/01/1990
ISBN: 9780486661650
Pages: 592
Weight: 1.28lbs
Size: 8.45h x 5.40w x 1.16d
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SKU: 67999211410

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Miah
Port Orchard, US
★★★★★ 5
Solid Floating Shelves 🛠️🏠
Color: Black, Number Of Shelves: 4, Size: 15.7in
I have installed four sets of the black floating shelves in my office. They are made of high quality materials, featuring a sophisticated black woodgrain finish with a natural texture. Supposedly, each unit can handle up to 22 pounds, though I would not recommend testing that limit with your vintage bowling ball collection if you value your flooring. They are awesome. The value is good for a set of two. Each shelf measures 22x7x1 (56x17x3 cm) inches, providing a decent amount of storage for books or decor. The installation was straightforward since the hardware for multiple wall types was included. They work well in the kitchen for spices or in the bedroom for personal belongings. One tip for a secure fit: use a level during installation and make sure the bracket is flush against the wall before sliding the shelf on, or your photos might look like they are sliding off a mountain 📐 These shelves offer a clean, modern look and stay stable once mounted correctly. They are a practical choice for adding functional display space to any room 🖼️
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Reviewed in the United States on May 4, 2026
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Tyler Kline
San Leandro, US
★★★★★ 5
Good looking shelves and easy install - skip the included drywall anchors
Color: Black, Number Of Shelves: 2, Size: 22in
I installed these shelves in a bedroom to get things off my dresser and some decor. Once mounted they look really nice. The black finish looks clean and modern and they blend in well with the room. Installation was pretty straightforward. The metal bracket mounts to the wall first and then the shelf slides over the bracket. As long as you take your time lining things up it’s a simple project. One thing I strongly recommend is not using the white plastic self-drilling drywall anchors that come with the kit. I’ve used that style before on other projects and they tend to strip out easily and leave larger holes in drywall. I used better anchors instead and the shelves mounted much more securely. The rest of the hardware worked fine and once installed the shelves feel solid and hold items well. Pros - Clean modern look - Easy installation - Feels solid once mounted - Good size for books or decor Cons - The small level included isn’t very accurate — use your own level - One of the metal brackets was slightly bent out of the box but straightened out easily Helpful tip: Use your own level and better drywall anchors if you have them. It makes installation easier and the shelves will mount much more securely. Final thoughts: For the price these are nice looking floating shelves that install easily and work well for light storage and decor.
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Reviewed in the United States on March 13, 2026
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Coffman, H
Whiting, US
★★★★★ 5
Cheap, and effective!
Color: Black, Number Of Shelves: 4, Size: 15.7in
Looks good, works great, low cost. I'll be purchasing more in the future.
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Reviewed in the United States on May 12, 2026
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Amazon Customer
Chelsea, US
★★★★★ 4
Cute for coffee bar!
Color: Black, Number Of Shelves: 4, Size: 15.7in
Great for above my coffee bar. Easy to mount and align. Seems stable!
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Reviewed in the United States on April 14, 2026
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Samuel Roberts
Battle Creek, US
★★★★★ 5
Great shelves, strong, secure, sturdy, decent size, unbeatable price.
Color: White, Number Of Shelves: 4, Size: 15.7in
Easy installation fits where we wanted them. Stable strong secure snug fit. Cleans easily with dust wipe. I would recommend buying these.
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Reviewed in the United States on May 19, 2026

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