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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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4.7 ★★★★★
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★★★★★ 5
Hyper allergic
Scent: Assorted
Hyper allergic! Great bar soap for men.
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Reviewed in the United States on May 14, 2026
★★★★★ 5
Smells amazing
Scent: Assorted
Smells amazing,very happy with this
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Reviewed in the United States on March 2, 2026
★★★★★ 5
Great Charcoal Soap – I Really Like It!
Scent: Ocean, Scent: Ocean
I’m honestly surprised how much I like this charcoal soap. The packaging was clean and professional, and all four bars came in perfect condition. Each bar is a good size, and it feels like it will last a long time.
The scent is fresh and not overpowering, and the soap gives a nice deep-clean feeling without drying out my skin. I like that it has ingredients like peppermint, sea salt, and shea butter — it actually feels refreshing after a shower.
The mesh bag they include is also really useful for getting more lather and keeping the soap from melting too fast.
Overall, this is a solid charcoal soap set. Good quality, good fragrance, and worth the price. I’m happy with it and will definitely keep using it!
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Reviewed in the United States on February 3, 2026
★★★★★ 5
Good soap with a few details
Scent: Lemon, Scent: Lemon
I've been using this soap for several weeks now, and it's worked well for cleaning without drying out my skin. The foam is abundant and has a natural aroma, not strong at all. I like that it includes ingredients like turmeric and shea butter because my skin feels softer.
The only thing I noticed is that from the pigment, it can leave a slight yellow mark on sponges or cloths if they are not rinsed thoroughly, and the size of the stick is smaller than it looks in the photo.
Overall, it is a good natural choice for those looking for a different and gentle soap for daily use.
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Reviewed in the United States on August 18, 2025
★★★★★ 3
On the fence.
Scent: Citrus
Long lasting but don’t take anything off the skin it’s great for moisturizing but not for washing anything away like deodorant it can’t handle the task, smells great during wash but not long lasting after.
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Reviewed in the United States on January 24, 2026