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Pascal's Arithmetical Triangle: The Story of a Mathematical Idea"An impressive culmination of meticulous research into original sources, this definitive study constitutes the first full length history of the Arithmetic Triangle." Mathematics of Computation Pascal's Arithmetical Triangle was named for the seventeenth century French philosopher mathematician Blaise Pascal, though he did not invent it. A never ending equilateral triangle of numbers that follow the rule of adding the two numbers above to get the
"An impressive culmination of meticulous research into original sources, this definitive study constitutes the first full-length history of the Arithmetic Triangle." -- Mathematics of Computation Pascal's Arithmetical Triangle was named for the seventeenth-century French philosopher/mathematician Blaise Pascal, though he did not invent it. A never-ending equilateral triangle of numbers that follow the rule of adding the two numbers above to get the number below, it appears much earlier in the literature of Hindu and Arabic mathematics and continues to fascinate Western mathematicians. Two sides are comprised of "all 1s," and because the triangle is infinite, there is no "bottom side." This book by A. W. F. Edwards, Professor of Biometry at the University of Cambridge, explores Pascal's Arithmetical Triangle and the way it has been studied, enjoyed, and used by mathematicians throughout history. "A fascinating book...giving new insights into the early history of probability theory and combinatorics and incidentally providing much stimulating material for teachers of mathematics." -- G. A. Bernard, International Statistical Institute Review "Scrupulously researched . . . carries the reader along in a rewarding manner. It is a scientific who-dun-it and one must admire the author for the scholarly yet unpedantic manner in which he disperses some of the mists of antiquity." -- A. W. Kemp, Biometrics "Recommended not only to historians and mathematicians, but also to students seeking to put some life into the dry treatment of these topics to which they have doubtless been subjected." -- Ivor Grattan-Guinness, Annals of ScienceBinding Type: Paperback
Publisher: Dover Publications
Published: 06/12/2019
ISBN: 9780486832791
Pages: 224
Weight: 0.70lbs
Size: 8.90h x 5.90w x 0.50d
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4.3 ★★★★★
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Product Reviews
★★★★★ 5
Easiest DIY ever
Style: BE-157H 1-Pack
So a Toyota dealer will want $40+ to replace this filter, but for $10 and 2mins you can easily do this yourself.
There’s a great 1:30 how-to vid on the YouTube, drop the glove box (one push) open the little door, remove old filter (note the arrow) and put in the new one, close door, close glove box, enjoy better flow and fresh air. This filter is a HEPA so it’s a performance upgrade over the OEM, fit is perfect, seems sturdier than the OEM, great value if you’ve got 2mins.
Highly recommend. Thanks!
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Reviewed in the United States on June 23, 2025
★★★★★ 5
Awesome Cabin Air Filter
Style: BE-151H 1-Pack
This product is not only cost efficient, it was also easy to install. The instructions in the package were helpful. I would definitely recommend using this filter for your 2017 Hyundai Sonata.
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Reviewed in the United States on May 13, 2026
★★★★★ 4
the "fit" is very precise
Style: BE-176H 1-Pack
Nice Fabrication, Good materials, perfect adhesive applications, "clean joints" etc.
Appears to be a good UPGRADE from the stock Motorcraft product.
CONs: The FIT was a "smidge TIGHT", and took very precise initial alignment and "pressure" to begin to slide into the rectangular hole. I measured the "Hole" at 7.375" wide, or (187.33 mm)... the FILTER is exactly the SAME.
I would suggest maybe reducing the Width by 1 mm, to allow for an easier installation.
The MOTORCRAFT uses an "open-cell" foam structure for the (2) Side pieces on their filter assembly, allowing some "compression to fit", of the Width, easing the difficulty of installation, yet still filling all voids.
In summation, the "fit" is very precise. Not to be hurried or rushed, maybe a bit meticulous for the impatient or weak of heart.
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Reviewed in the United States on April 2, 2025
★★★★★ 5
Great item and Affordable
Style: BE-157H 1-Pack
Perfectly fit for my corolla
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Reviewed in the United States on May 4, 2026
★★★★★ 5
Breathe Easy!
Style: BE-728H 1-Pack
Ladies and gentlemen, buckle up, because we're about to embark on a whirlwind adventure of cleaner air and contortionist-worthy installation feats with the Spearhead HEPA Breathe Easy Cabin Filter!
First off, let's talk about installation. If you're someone who loves a good yoga session or considers themselves a Cirque du Soleil dropout, this is the filter for you. The instructions are so clear and helpful that even a goldfish could follow them. However, be prepared to twist and turn in ways you didn't know your body could. And let me tell you, I'm not in the best of shape. I discovered muscles I never knew I had and positions that would make a pretzel jealous. But don't worry, it's all worth it.
Once installed, my car’s air quality shot up faster than a rocket to Mars. And although my car is old and doesn't have any fancy AI, it felt like it was saying, "Ahh, finally, some quality air!" The air was so crisp and pure, I half expected to see little cartoon birds chirping around my head. And let me emphasize this: the product quality is top-notch. It not only works great but looks good too.
I purchased this gem because my wife has bad allergies, and so far, it's been a game-changer. She hasn't sneezed once, and the car doesn't smell as musty with the air conditioning on. It's like we've been transported to a fresh, alpine air paradise every time we drive.
In summary, the Spearhead HEPA Breathe Easy Cabin Filter is a game-changer. It's as easy to install as putting on socks—if putting on socks required you to become a human origami. But trust me, once it's in place, your lungs will thank you, and your car will feel like it's breathing the fresh, alpine air of the Swiss Alps. Five stars, and a standing ovation from my now incredibly limber body!
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Reviewed in the United States on July 10, 2024
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