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Description
Mathematical Maturity Via Discrete MathematicsDesigned for a one semester course for undergraduate majors in math, computer science, and computer engineering, this text helps students take the crucial step from consuming mathematics to producing mathematics. Author Vadim Ponomarenko employs the general concept of discrete mathematics to introduce the basic knowledge of proof techniques and their uses. Like other beginning texts on methods of proof, this treatment offers definitions, theorems, and
Designed for a one-semester course for undergraduate majors in math, computer science, and computer engineering, this text helps students take the crucial step from consuming mathematics to producing mathematics. Author Vadim Ponomarenko employs the general concept of discrete mathematics to introduce the basic knowledge of proof techniques and their uses.Like other beginning texts on methods of proof, this treatment offers definitions, theorems, and techniques. Unlike other books, it explains how to read, interpret, and use definitions, demonstrating not only general proof strategies -- like proof of induction -- but also the specific methods of thought for implementing these strategies. All techniques are built from scratch to provide an intellectually consistent whole. Each chapter contains several exercises, for which the author provides hints rather than solutions to encourage creative thinking.
Binding Type: Paperback
Publisher: Dover Publications
Published: 11/13/2019
ISBN: 9780486838571
Pages: 272
Weight: 0.55lbs
Size: 7.90h x 5.00w x 0.60d
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★★★★★ 5
Cute, big enough and top notch quality
These are SO CUTE! The look exactly like the pictures so I am really glad about that.
They are quite substantial in size, big enough. See pics :). I gift one of three to my friend's dog.
The texture is soft and boucle like and soothing for me and the doggos! The squeakiness is very prominent but not present in all parts of the toy - so its annoying. I am also glad these have no stuffing because they look great as is and lack of the stuff make them easy to chew on.
The cuteness got me on this one and I may repurchase again, if need be.
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Reviewed in the United States on October 2, 2025
★★★★★ 4
No mess toys
My chiweenie ripped out the squeaker in 5 minutes. Other than that they are good toys. No mess.
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Reviewed in the United States on June 2, 2026
★★★★★ 5
Very nice
Super cute, my pups love them.
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Reviewed in the United States on May 24, 2026
★★★★★ 3
not very long lasting
I like the fact that they have no stuffing. My 20-pound dog chewed through these in no time and got the squeaker out and tried to eat it. My dog enjoyed tearing it apart. I had to chase him around to get the squeaker out of his mouth. The size is great for a medium sized dog. However, it lasted only minutes before it was ruined.
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Reviewed in the United States on June 4, 2026
★★★★★ 5
Great dog toys!
Great dog toys! My dogs love the crunchy sound and it keeps them busy!
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Reviewed in the United States on June 1, 2026
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