A First Course in Partial Differential Equations
SKU: 56379001682

A First Course in Partial Differential Equations

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A First Course in Partial Differential EquationsThis textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second order linear PDEs, the heat equation, wave equation, and Laplace's equation. First order and some common

This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered.

This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm-Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects.

The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs.

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SKU: 56379001682

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R. Howell
Natrona Heights, US
★★★★★ 5
Basic mouse that works - - for now.
Size: 1 Pack, Style: USB Receiver, Color: Blue
I ordered this mouse (in blue) to replace the recently deceased exact same model that I've used for the past 2 or 3 years. I like the simplicity of the M185 mouse and mostly the best bang for your buck! I caught this one on sale for less than a ten-spot, so I thought, "why not." I'm hoping that this one will last a bit longer than my two previous M185 models, that averaged about 3 years each. This model seems plagued by a short life span and is predisposed to mysteriously and suddenly dying, without any obvious symptoms or warning of any kind - - you're working and clicking along, going about your day, when suddenly the cursor on the computer screen freezes and that's it. Nothing, zero, nada. Funny thing, I'm very careful not to abuse or drop the mouse, and keep a fresh battery installed and watch for leakage and all that stuff - - they just stop working, and I assume it is caused by some sort of inherent electronic fault in the circuitry of the previous M185's. Due to my loyalty to the brand and model (and since it was on sale) I decided to give it one more shot. They say that "third time's a charm". I like the fact that the M185 is simple and uncluttered with extra buttons that I would never use for my purpose, which is simple web-browsing and the occasional text document production. The feel is solid, not heavy, but not cheap feeling, either. I'm used to the shape of this mouse, which to me is quite comfortable for long sessions, another reason why I kind of wanted to stay with this model. The buttons have an audible "click", which doesn't bother me at all, and the wheel moves smoothly and also has a clicking operation (which I rarely ever use). The overall surface of the mouse has a matte finish, but like my previous models I'm sure it will eventually wear shiny spots where my fingers reside and will attain a more "well-used" look in time. Connecting it was a breeze, too. I just plugged the dongle into a spare rear usb port of my desktop, and the mouse connected instantly, no problem. The dongle can be stored safely inside the battery compartment, so you can take the whole thing out of the house if needed for use elsewhere. The speed of 1000 dpi seems just right for my purposes. The one I ordered even came with its own AA Duracell battery, which I wasn't really expecting. This mouse also enters "sleep mode" when you don't use it for a while, and I can't say how many times I've got up and left it on all night. And that's not hard to do, as I'll explain next. The only real negative to this mouse is the absence of any easily visible status indicator of it's on / off switch. The rear housing of this mouse is matte black, including the tiny switch where you turn it on and off with your fingernail, with only a very faint "on" lettering (also black), and very hard to see with my aging eyes. The laser is not lighted or visible when on, also adding to the confusion, especially in a darkened room. So, as a workaround, I took a tiny drop of green paint and placed it down inside the switch slider to visibly help indicate the "on" position, and likewise a dot of bright orange for the "off" position. Many of Logitech's more expensive models (and a few other manufacturers) include this color-coded switch indication. I guess for the $$, they had to cut corners somewhere - - a minor complaint. In summary, this is a good basic mouse that works - - let's hope that this one will last longer than its two predecessors.
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Reviewed in the United States on February 17, 2023
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Metal Sphere
Fort Morgan, US
★★★★★ 5
Dependable, Reliable
Size: 1 Pack, Style: USB Receiver, Color: Swift Grey, Size: 1 Pack, Style: USB Receiver, Color: Swift Grey
As advertised. Logitech, best mouse for your hard-earned cheddar! It’s not that the (years) old Logitech mouse failed in any operational way, it just got that gummy, sticky surface texture that’s impossible to remove. While shopping for a replacement I noticed an off-brand mouse/keyboard combo and thought, “hey, 2 for 1”…mistake. All was well for about three weeks, long enough that when the gremlins arrived I didn’t immediately associate the new hardware. For the purposes of this discussion, gentle reader, know that I run legacy (what I affectionately refer to as, “Lazarus”) builds. Rigs that started life running Windows Vista/7, died, and that now, resurrected, run 10 and 11, and all that that implies. So, when a mouse started stuttering, of course I thought it was a gremlin in the machine, right? I spent more days than I am comfortable sharing with you pouring over processes and background apps, and registry trims…before Accam’s Razor suggested I eliminate the mouse as a variable. Changing the battery was ineffective, but when I swapped in the ooold Logitech…Yahtzee/Bingo/Booyah…smooth and precise…butter! All I needed was a new Logitech mouse. So, if you’re here you likely are having mouse issues of your own, or you just need one that works…this is it! 😉
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Reviewed in the United States on May 13, 2026
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PJJ
Draper, US
★★★★★ 5
Nice and a great value.
Size: 1 Pack, Style: USB Receiver, Color: Swift Grey
Hey, it works well. Just plug it in and you are ready to go. Only issue, minor, no light or color coding on back to indicate on or off.
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Reviewed in the United States on May 14, 2026
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Damon A
Dallas, US
★★★★★ 5
Smooth and ergo nice mouse.
Size: 1 Pack, Style: USB Receiver, Color: Swift Grey
I needed this little thing quickly and got it within 2 hours of ordering. It was only an extra five bucks to get it now. Would have burned more than that in fuel. Works exactly as I would have expected. Perfect.
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Reviewed in the United States on June 11, 2026
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N. Vance
Draper, US
★★★★★ 5
Simple and efficient
Size: 1 Pack, Style: USB Receiver, Color: Swift Grey
This is a dandy little item. Easy to use straight out of the box, No fancy bells and whistles.but why should a mouse try to replicate commands that are on the laptop?
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Reviewed in the United States on May 16, 2026

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