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Description
Combinatorics: A Very Short IntroductionHow many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its
How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its scope has broadened to include topics such as graph theory, partitions of numbers, block designs, design of codes, and latin squares. In this Very Short Introduction Robin Wilson gives an overview of the field and its applications in mathematics and computer theory, considering problems from the shortest routes covering certain stops to the minimum number of colours needed to colour a map with different colours for neighbouring countries.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Binding Type: Paperback
Publisher: Oxford University Press, USA
Published: 07/01/2016
ISBN: 9780198723493
Pages: 144
Weight: 0.30lbs
Size: 6.80h x 4.20w x 0.50d
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★★★★★ 5
Has the look that they should cost more.
Size: 11.5 Wide, Color: Dark Turquoise
Comfortable and the fit is very comfortable. Looks great and extremely comfortable. Soft and light weight. Easy to put on. Sizing was perfect and the wide width is truly a wide. I’m coming back for more colors.
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Reviewed in the United States on June 1, 2026
★★★★★ 4
Good at price
Size: 9 Wide, Color: Sand
Fit a little small at my big toe but otherwise fit well. Heel rubbed slightly first 5 hour wear but no blister.
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Reviewed in the United States on May 9, 2026
★★★★★ 5
Lightweight comfortable at a good price!
Size: 10.5, Color: Navy
These shoes are perfect. The color matches my navy outfits as well as my denim. They are comfortable and they look great. They are easy to pack lightweight and a great value.
I am extremely satisfied and highly recommend!
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Reviewed in the United States on June 3, 2026
★★★★★ 3
REALLY CUTE SHOE BUT CUT WAY TOO SMALL!
Size: 8, Color: Black Patent
I received the black patent leather shoes today and they are so cute! Sadly I need to return them because they are cut way too small. I normally wear a 7.5 or 8 on dress shoes so I ordered the 8. They are so tight across the top that it's uncomfortable as soon as I put them on. They are smaller than a normal size 8 dress shoe. The big toe area is extremely uncomfortable because it doesn't allow any room for it at all, so my big toe just presses against the side and end of the shoe without even walking in them. I have very narrow feet and these still are too small for me. So I am returning them and I already ordered a 8.5 W and hope that will fit much better. The patent leather is very cute and adds just enough dressy that I can wear them with slacks or my Capri jeans. I like the slip on and the cushion foot bed because it feels soft.
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Reviewed in the United States on May 26, 2026
★★★★★ 5
Love these flats!
Size: 9 Wide, Color: Black White Faux Snake Skin, Size: 9 Wide, Color: Black White Faux Snake Skin
One of my favorite pair of flats! I’ve had these for several years and they are still comfortable, in good shape and really add a little spice to my outfits. I can wear these all day and not have any foot pain or discomfort as a result. The quality is good, fit is perfect and I tend to have difficulty with shoes due to bunions. Love these!!
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Reviewed in the United States on May 23, 2026