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Description
Write Your Own Proofs: In Set Theory and Discrete MathematicsWritten by a pair of math teachers and based on their classroom notes and experiences, this introductory treatment of theory, proof techniques, and related concepts is designed for undergraduate courses. No knowledge of calculus is assumed, making it a useful text for students at many levels. The focus is on teaching students to prove theorems and write mathematical proofs so that others can read them. Since proving theorems takes lots of practice,
Written by a pair of math teachers and based on their classroom notes and experiences, this introductory treatment of theory, proof techniques, and related concepts is designed for undergraduate courses. No knowledge of calculus is assumed, making it a useful text for students at many levels. The focus is on teaching students to prove theorems and write mathematical proofs so that others can read them.Since proving theorems takes lots of practice, this text is designed to provide plenty of exercises. The authors break the theorems into pieces and walk readers through examples, encouraging them to use mathematical notation and write proofs themselves. Topics include propositional logic, set notation, basic set theory proofs, relations, functions, induction, countability, and some combinatorics, including a small amount of probability. The text is ideal for courses in discrete mathematics or logic and set theory, and its accessibility makes the book equally suitable for classes in mathematics for liberal arts students or courses geared toward proof writing in mathematics.
Binding Type: Paperback
Publisher: Dover Publications
Published: 08/14/2019
ISBN: 9780486832814
Pages: 256
Weight: 0.80lbs
Size: 8.90h x 5.80w x 0.60d
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Best lip balm I’ve ever used.
I love LRP’s nutritic lip balm. I don’t know if the LRP makes it anymore but I can still get it from Amazon. I’ve used LRP’s products in the past and have always been very happy with the results. I don’t have troubled skin. I’m just a guy that doesn’t want to spend large sums of money on face soap and lotion. If it were up to me I’d still be using my multiwash product to wash everything head to toe, the floor, bathroom toilet and my car. But some years ago a girl I was dating begged me to start thinking about my skin. So I took her advice, we broke up but I still heed her advice and take some consideration for skin care. It’s I like nutritic because it’s light and smooth and doesn’t have any strong feminine scents. I use this twice a day like clock work. Once in the morning before I leave the house and once when I come home after I’ve showered, ready to jump into bed. The way the balm comes out is like a woman’s lipstick. The balm is inside a tube and there is a mechanism that spins the balm up ready for application. I like to retract all the way so the edge of the cover doesn’t smoosh into the balm. It’s a little pricey for a lip balm (IMO) but I think it’s worth it. I will use this for 6-9 months. That’s twice a day everyday. Oh I don’t slather it on. It’s one swipe on the upper lip and one swipe on the lower lip.
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Reviewed in the United States on September 26, 2020
★★★★★ 3
Lip Balm
La Roche-Posay Nutritic Lip Balm is an okay product. It’s definitely not horrible, and it does what a lip balm is supposed to do. It keeps lips soft and moisturized, and it feels comfortable to wear.
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Reviewed in the United States on December 20, 2025
★★★★★ 5
A Moisturizing, Non-Greasy Lip Balm That Doesn't Make My Lips Itch!
Sometime in the last 3 or 4 years, I developed an allergy to lanolin, which is a common ingredient in many lip balm. I've been using an all organic lip balm without lanolin, but lately my lips have started to itch and peel again. I hated to spend $16 on one lip balm, but decided to try it out.
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Reviewed in the United States on February 20, 2026
★★★★★ 5
Silky lips
It leaves your lips silky and it wears well! Worth it to me.
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Reviewed in the United States on April 15, 2026
★★★★★ 5
Extremely effective product
Such a great product. Really works well on chapped, dry hands during winter or to maintain healthy skin in other conditions. There really isn't a scent, it smells kind of plastic-y but that's fine with me when the results are so good. Hard to find in my area, so happy Amazon carries this brand.
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Reviewed in the United States on March 17, 2025