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Description
A First Course in Partial Differential Equations: With Complex Variables and Transform MethodsThis popular text was created for a one year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good course in calculus. Incorporating many of the
This popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good course in calculus.Incorporating many of the techniques of applied mathematics, the book also contains most of the concepts of rigorous analysis usually found in a course in advanced calculus. These techniques and concepts are presented in a setting where their need is clear and their application immediate. Chapters I through IV cover the one-dimensional wave equation, linear second-order partial differential equations in two variables, some properties of elliptic and parabolic equations and separation of variables, and Fourier series. Chapters V through VIII address nonhomogeneous problems, problems in higher dimensions and multiple Fourier series, Sturm-Liouville theory, and general Fourier expansions and analytic functions of a complex variable.
The last four chapters are devoted to the evaluation of integrals by complex variable methods, solutions based on the Fourier and Laplace transforms, and numerical approximation methods. Numerous exercises are included throughout the text, with solutions at the back.
Binding Type: Paperback
Publisher: Dover Publications
Published: 09/11/1995
ISBN: 9780486686400
Pages: 480
Weight: 1.43lbs
Size: 9.21h x 6.48w x 0.91d
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Product Reviews
★★★★★ 5
Trimmer
Works great
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on July 26, 2025
★★★★★ 5
Good for household use.Even my wife likes it!!
Good product.I had one previously that lasted for years.I like the lightweight and power is more than adequate!
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Reviewed in the United States on June 7, 2025
★★★★★ 5
Quick, powerful, and easy to use
Style: 2 x 2.0Ah
When my wife and I bought our latest home, I got bitten by the battery-powered lawn equipment bug. Because our lawn is a lot smaller and flatter than our last home, I refrained from having landscapers regularly maintain this new lawn. This means I now have every piece of equipment one could possibly want to keep our yard looking beautiful
Before purchasing this last item for our lawn, I was using a weed whacker to do the edging. This was tedious and not very precise. Because I have all Greenworks-branded equipment, this edger was a no-brainer.
Even though most of our battery-operated lawn equipment uses 60v batteries, I opted for this smaller dual-battery setup to save a little weight and money. Because of the small battery sizes, the edger is perfectly balanced and not one bit unwieldy.
I am able to quickly clear all of our sidewalk, lanai, and driveway surface edges within minutes.
Up to this point, I had never used an edger before. It literally took less than 30 seconds to get it buzzing correctly along the surface edges of our property. If not trying to do a large commercial area, this edger will probably work for most residential applications. Quickly and easily.
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Reviewed in the United States on July 24, 2025
★★★★★ 5
It's a beast and you can add attachments to, like a brush cutter head.
Style: 16" (2 x 4Ah)
This thing is a beast of a battery powered machine. I wouldn't put it completely up against my gas. It is much better than the Greenworks 24V 13-Inch Brushless String Trimmer (Gen 2), 4.0Ah USB Battery and Charger Included that I had purchased this time last year. I have several gas so I only really needed a light duty one to do the fence line and around the house. The main issue with the 13 inch was that the auto feed bump mechanism was worthless. It also uses very thin lines so very quickly you go from 13 inches to 6 to 8. and the bump feed does not work even with greenworks replacement spools. You get twice the batteries and a dual rapid charger for $50 more. You couldn't even buy the battery for that much.
onto this thing. Love the dual string heavy-duty string mechanism. Love the fact that you can remove the trimmer head and add an attachment. I have attachments from my gas Trimmers and they work perfectly. My brush head attachment utterly devastated thick bramble from an overgrown lot. The best part is it took me two hours to get my stored gas trimmers to run properly which I don't have to do with a battery operated device. No gas flying that deteriorated or primer bubbles that have burst followed spark plugs Stale gas . Just throw the batteries on and you're off.
Nothing long-term to report, only had it a week. Used it enough to run down completely six sets of batteries.
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Reviewed in the United States on April 30, 2026
★★★★★ 4
Works well, but battery life is lacking
Style: 15" (2 x 2Ah)
This is a decent trimmer and gets the job done almost as well as a gas model. It has decent power (could use a little more) and is plenty light.
However, the battery life stinks. One of the two batteries has already decided not to charge. It plugs in, but the charger does not blink or charge it. The terminals are clean.
Of course, this happened just outside the return/support window, meaning I now have to buy a new battery just to use the trimmer. That's about half the price of the trimmer; if the other one dies, too, I may as well buy a brand new gas trimmer for the price and have the thing last for a decade or two like my last one, instead of a couple years like this one.
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Reviewed in the United States on September 6, 2023
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