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Description
Computability and UnsolvabilityIn this classic text, Dr. Davis provides a clear introduction to computability, at an advanced undergraduate level, that serves the needs of specialists and non specialists alike. In Part One (Chapters 1 5), Professor Davis outlines the general theory of computability, discussing such topics as computable functions, operations on computable functions, recursive functions, Turing machines, self applied, and unsolvable decision problems. The author has
In this classic text, Dr. Davis provides a clear introduction to computability, at an advanced undergraduate level, that serves the needs of specialists and non-specialists alike.In Part One (Chapters 1-5), Professor Davis outlines the general theory of computability, discussing such topics as computable functions, operations on computable functions, recursive functions, Turing machines, self-applied, and unsolvable decision problems. The author has been careful, especially in the first seven chapters, to assume no special mathematical training on the part of the reader.
Part Two (Chapters 6-8) comprises a concise treatment of applications of the general theory, incorporating material on combinatorial problems, Diophantine Equations (including Hilbert's Tenth Problem) and mathematical logic. The final three chapters (Part 3) present further development of the general theory, encompassing the Kleene hierarchy, computable functionals, and the classification of unsolvable decision problems.
When first published in 1958, this work introduced much terminology that has since become standard in theoretical computer science. Indeed, the stature of the book is such that many computer scientists regard it as their theoretical introduction to the topic. This new Dover edition makes this pioneering, widely admired text available in an inexpensive format.
For Dover's edition, Dr. Davis has provided a new Preface and an Appendix, "Hilbert's Tenth Problem Is Unsolvable," an important article he published in The American Mathematical Monthly in 1973, which was awarded prizes by the American Mathematical Society and the Mathematical Association of America. These additions further enhance the value and usefulness of an "unusually clear and stimulating exposition" (Centre National de la Recherche Scientifique, Paris) now available for the first time in paperback.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/01/1985
ISBN: 9780486614717
Pages: 288
Weight: 0.65lbs
Size: 8.46h x 5.44w x 0.57d
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4.1 ★★★★★
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Product Reviews
★★★★★ 4
Well-Made and Handy for Small Drinks
Size: 6.8oz/200ml Silver
This HULISEN milk frothing pitcher is well made and feels sturdy in hand. The stainless steel finish looks nice and it pours smoothly, which helps when frothing or steaming milk. The 6.8oz size is perfect for single drinks, though it may feel small if you make multiple cups at once. Overall, it does the job well and is a useful addition to a home coffee setup.
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Reviewed in the United States on December 21, 2025
★★★★★ 5
Great.
Size: 6.8oz/200ml Silver
Great, as expected. A+++
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Reviewed in the United States on March 25, 2026
★★★★★ 5
So small! But it works
Size: 6.8oz/200ml Silver
Perfect for making cortados. Easy to clean — dishwasher safe.
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Reviewed in the United States on December 18, 2025
★★★★★ 5
Nice shape, highly polished, 200ml, 5+ stars.
Size: 6.8oz/200ml Silver
Very nice, highly polished with the feel of quality for the price.
I'm very much an amateur barista. A trip to Italy inspired me to buy an espresso machine. I gained a whole new respect for coffee in Europe. The pitcher with my machine was too big to copy the Euro style cafe. Small quantities of milk were too shallow to froth properly even when tilting. The barista I watched in Italy was using a small pitcher so I decided to buy the 200ml version. It's a perfect size allowing a small amount of milk to be deep enough to froth. I brought back some roasted Italian coffee beans back to USA and wow! I'm very much a beginner but having fun.
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Reviewed in the United States on December 3, 2025
★★★★★ 5
Still The Best Frother Ever!
Color: Black
I love how it is easy to use, how it holds a charge, and how much power it has. I've only charged it once since I got it & I've been using it on a daily basis!!! Though it isn't a long time, I'm happy with it so far! I definitely will recommend it to anyone looking for a great frother. If you are looking for one, look no further! You won't be disappointed! I've read some comments where they found it to be too strong that their drink spilled everywhere. But for me I have not had any incident of spilling over. I have used it both for my coffee and my matcha tea and it worked great without any spilling over. You just have to start with the lowest power and ensure that you have a large enough container to have a room for your frothing. My sister tried to use it recently during her visit to make us matcha tea. However, she experienced spillage all over the cup, because she had used a small cup. Otherwise, she liked it very much and said she will get one when her battery operated one stops working...
Another thing I like about the product was the customer service that I had received. When I got my first order which came quickly, it wasn't working after having charged it over 24 hours. It was not turning on at all. I returned it and ordered a replacement which I received within a day or two. This time after charging it for the recommended amount of time, I was a bit skeptical when I turned it on. However, I was pleasantly surprised that it worked like it was supposed to and it has been working ever since having charged it only once so far. I may come back and give an update depending on how it does after 6 months of use, so keep in tune...
I don't know if there is a way to write a new entry as a follow up to the old entry, so I'm going to add my follow up comment over here.
May 23, 2025 - I love my frother more than I can say in words. It's functionality has not changed a bit from the time I have purchased it. It charge lasts several weeks to few months before I charge it again and the power is still the same. Recently I decided to buy another one for my office use. I like the white color and so tried it but that one wouldn't even turn on. And then I got a gray one to have a different color. That one was much weaker than the black one I own. Then I replaced it with another gray one within few days. I tried it and it was exactly the same as the one I already replaced. So then I decided to go with a black one again hoping that it would be the same as the one I have. The black one did much better than the gray ones in the strength or power of the frother. However, it is weaker than the one I already have been using since last August. While I am not very happy with the quality being inconsistent in all of the ones I have tried including the recent pictures of the black one, I have decided to keep the black one because it is relatively better than the gray ones I tried. What I don't understand is why there is inconsistency in the quality of the same product by the same maker. I am beginning to wonder if the black one I purchased in Augusta last year was anomaly of a quality and a good way. Maybe I lucked out on my older black frother, but I'm unsure if quality is going to get better if I were to order another one. I have a sister who is a pro in making coffee drinks and she was the reason I had ordered this frother to begin with. She uses a battery operated one at this time and I have been thinking about getting her one like mine. While I am still skeptical, I am going to give it a shot and order her one sometime soon. If it doesn't work, I guess we will return it back. But one thing that I am grateful is that I have been able to return every one of those that I have tried recently with no issues. I hope that I don't have to return my most recent purchase in black. I was not even able to review the new purchase because of the item being the same color which is crazy.
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Reviewed in the United States on September 8, 2024