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Description
Partial Differential Equations for Scientists and EngineersMost physical phenomena, whether in the domain of fluid dynamics, electricity, magnetism, mechanics, optics, or heat flow, can be described in general by partial differential equations. Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial
Most physical phenomena, whether in the domain of fluid dynamics, electricity, magnetism, mechanics, optics, or heat flow, can be described in general by partial differential equations. Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.
Binding Type: Paperback
Publisher: Dover Publications
Published: 09/01/1993
ISBN: 9780486676203
Pages: 448
Weight: 1.35lbs
Size: 9.20h x 6.10w x 0.90d
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Product Reviews
★★★★★ 3
Excellent idea, could be better executed
I love the idea, but my problem with this product is that the bottom of the socks are made too short. The socks tend to slouch up when you wear them for awhile, so the entire ball of your foot will be exposed at some point. I would like to find a pair that cover the ball of the foot as well. But the socks are well made and attractive.
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Reviewed in the United States on May 28, 2019
★★★★★ 5
Perfect Solution for Moisturizing Heels Without Full Socks
Color: Black, Grey
Excellent quality and incredibly soft! These toeless socks are perfect if you like to moisturize your heels but don’t want to wear full socks. They stay in place and keep the lotion where it needs to be—highly recommend
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Reviewed in the United States on April 22, 2025
★★★★★ 5
These are quality materials!
The design and materials are above average. They fit great and are so comfortable. I have nerve damage and need open toes. These work perfectly. The colors are cute and did not fade upon washing. I will definitely order more, now that I’ve received my “trial” set. lol
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Reviewed in the United States on October 9, 2023
★★★★★ 5
Thick material
These are really nice. Will be great in cooler weather as they are heavier than a summer sock.
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Reviewed in the United States on June 21, 2025
★★★★★ 3
Weird Toe-Hole Not Pictured for Product
These socks arrived with a super weird toe-hole that is certainly not pictured on the product photo. If you're over 8, your big toe ain't fitting in that hole. Unless... it finds its way partially into the hole while sleeping and you awake in the middle of the night from startling big toe-pain.
Alas, all is not lost! It is super easy to *carefully* cut the toe-hole seam.
The result: The pair of toe free socks you thought you purchased in the first place.
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Reviewed in the United States on September 29, 2020