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Vector and Tensor Analysis with Applications" the exposition is clear and the choice of topics is excellent " Prof. R. E. Williamson, Univ. of Sussex, Brighton, England This concise introduction to a basic branch of applied mathematics is indispensable to mathematicians, physicists and engineers. Eminently readable, it covers the elements of vector and tensor analysis, with applications of the theory to specific physics and engineering problems. It lays particular stress on the applications of
" ... the exposition is clear and the choice of topics is excellent ..." Prof. R. E. Williamson, Univ. of Sussex, Brighton, EnglandThis concise introduction to a basic branch of applied mathematics is indispensable to mathematicians, physicists and engineers. Eminently readable, it covers the elements of vector and tensor analysis, with applications of the theory to specific physics and engineering problems. It lays particular stress on the applications of the theory to fluid dynamics.
The authors begin with a definition of vectors and a discussion of algebraic operations on vectors. The vector concept is then generalized in a natural way, leading to the concept of a tensor. Chapter Three considers algebraic operations on tensors. Next, the authors turn to a systematic study of the differential and integral calculus of vector and tensor functions of space and time. Finally, vector and tensor analysis is considered from both a rudimentary standpoint, and in its fuller ramifications, concluding the volume.
The strength of the book lies in the completely worked out problems and solutions at the end of each chapter. In addition, each chapter incorporates abundant exercise material. Intended primarily for advanced undergraduates and graduate students of math, physics and engineering, the work is self-contained and accessible to any student with a good background in calculus.
Vector and Tensor Analysis With Applications is one of a series of SELECTED RUSSIAN PUBLICATIONS IN THE MATHEMATICAL SCIENCES, several of which have already been published by Dover. The authors are distinguished Russian mathematicians and specialists in gas dynamics and numerical analysis. Richard A. Silverman, editor of the series as well as editor and translator of this volume, has revised and improved the original edition and added a bibliography.
" ... a concise, clear and comprehensive treatment ... " Prof. Henry G. Booker, University of California, San Diego
Binding Type: Paperback
Publisher: Dover Publications
Published: 10/01/1979
ISBN: 9780486638331
Pages: 288
Weight: 0.67lbs
Size: 8.20h x 5.62w x 0.58d
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Product Reviews
★★★★★ 5
Improved my foot health
Size: Medium, Color: Color Mix
I’ve been dealing with athletes foot for decades and using daily maintenance medication for longer than many people reading this have been alive. I generally don’t have any issues other than I always at least one or two nails that are cloudy and brittle. I’ve tried synthetic blends in the past but this just seemed to make things worse so I always go back to cotton.
I was been reading about the benefits of wool so I thought I would try these socks. I had several clouded nails at the time but in just a few weeks of wearing wool socks I noted subtle improvements. At the time of writing this it has been over 4 months of wearing wool socks exclusively and all my nails are completely clear and healthy! I honestly can’t believe it since I haven’t had seen completely healthy nails since I was a teenager. I do continue to use daily antifungal maintenance medication but the only change has been the wool socks.
I think part of the issue was the cotton socks being soaked with sweat when I took them off at the end of the day regardless of the season or activity levels. The wool socks, however, are usually dry. Even after taking them out of a hiking boot on a hot day on the trail they will feel damp but not soaked. Consequently, they dry out completely on a rock while taking a short break. By staying dry they don’t bind up and cause hot spots like cotton socks. That, and I think they just distribute the heat better than cotton and I wouldn’t be surprised if they are actually cooler on hot days. Of course, in cooler temps they are warmer and I did appreciate how much so until the other day when I wore some cotton socks that felt like I was wearing ice cubes on my feet when I was walking around my hard wood floors at the end of the day.
With these particular wool ankle socks I did note a hole around the toes with a couple of the socks after a few washes. My experience with cotton socks is that even the smallest of holes will grow exponentially with each use and so I generally just discard them. At first, I was disappointed thinking that these socks would not last but it does not appear that the holes grow like cotton. In fact, I haven’t thrown one wool sock away. My eyes aren’t great at close distant but it seems like the holes I noticed disappeared. Even if they didn’t it doesn’t matter since they do not currently seem to be a problem. I haven’t had these socks long enough to notice any thinning at wear points like cotton socks but I suspect that since they don’t bind like cotton they are less prone to wear.
I now have a dozen pairs of wool ankle socks and I’ve gotten in the habit of putting them in a separate bin for washing otherwise they end up getting tumble dried with the rest of the family’s close. They have been in drier a number of times and I suspect they look a little more aged as a result. If I wash them separately with other delicate items I just lay them out on the floor after washing since they aren’t noticeably wet after a spin cycle and they completely dry out overnight. At this point I would rather put on a pair of wool socks straight out of the washer then put on dry pair of cotton socks since the results would be the opposite at the end of the day.
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Reviewed in the United States on October 21, 2024
★★★★★ 5
Nice look, good value
Size: Large, Color: Grey Mixed(quarter Socks)
Fit great. Cushion on bottom is exactly what I wanted, top and ankle sections are much thinner as I wanted, so as not to be bulky. Expect they will well for walking and hiking.
They did wash well although did lose some of the softness but did not shrink.
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Reviewed in the United States on March 30, 2026
★★★★★ 3
Nice but issue from manufacuter.
Size: Large, Color: Ivory/Beige/Pink, Size: Large, Color: Ivory/Beige/Pink
I received the 6 pack of socks to give as an Easter present. The socks were great colors, soft, and fit well. Will be a little warm during the hotter days. Unfortunately the yellow pair came with a hole already at the toe area.
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Reviewed in the United States on April 6, 2026
★★★★★ 5
My dog LOVES this tiny tug ball
Size: Medium(6")
A lot smaller than I was expecting.. BUT my dog doesn’t mind at all. She seriously loves this thing. It goes flat fairly quickly, but that’s what happens with all of her soccer balls, no matter the size. She’s a pitbul catahoula mix and has a strong bite. Considering my dogs chewing abilities, I’m fairly impressed by the durability of the ball, though she chewed through all but one of the rope handles in about 2 seconds. All that said, it’s one of her favorite toys(she’s 13 years old)
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Reviewed in the United States on April 21, 2026
★★★★★ 5
10/10
Size: Medium(6")
My dog loves this ball. Durable and the straps seem to be strong too. Would highly recommend
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Reviewed in the United States on May 27, 2026