{"id":49007,"date":"2026-07-17T22:12:31","date_gmt":"2026-07-17T15:12:31","guid":{"rendered":"https:\/\/mathed.bru.ac.th\/?p=49007"},"modified":"2026-07-17T22:12:31","modified_gmt":"2026-07-17T15:12:31","slug":"%e0%b8%a7%e0%b8%b1%e0%b8%99%e0%b8%99%e0%b8%b5%e0%b9%89%e0%b9%80%e0%b8%9b%e0%b9%87%e0%b8%99%e0%b8%a7%e0%b8%b1%e0%b8%99%e0%b8%ab%e0%b8%a1%e0%b8%b9%e0%b9%80%e0%b8%ab%e0%b8%a5%e0%b8%b7%e0%b8%ad%e0%b8%87","status":"publish","type":"post","link":"https:\/\/mathed.bru.ac.th\/en\/2026\/07\/17\/%e0%b8%a7%e0%b8%b1%e0%b8%99%e0%b8%99%e0%b8%b5%e0%b9%89%e0%b9%80%e0%b8%9b%e0%b9%87%e0%b8%99%e0%b8%a7%e0%b8%b1%e0%b8%99%e0%b8%ab%e0%b8%a1%e0%b8%b9%e0%b9%80%e0%b8%ab%e0%b8%a5%e0%b8%b7%e0%b8%ad%e0%b8%87\/","title":{"rendered":"Today is Yellow Pig Day! Discover Yellow Pig Day, one of the mathematics world's most unusual holidays."},"content":{"rendered":"<h1>Today is Yellow Pig Day! Discover Yellow Pig Day, one of the mathematics world's most unusual holidays.<\/h1>\n<p>Every July 17, among mathematicians and number enthusiasts around the world, there is a small, quirky, yet charming holiday hidden away: Yellow Pig Day. It is a day that has nothing to do with actual pigs, but instead celebrates an ordinary number that holds far more fascinating qualities than most people realize\u2014the number 17.<\/p>\n<h2>Originating from a Princeton student dorm room<\/h2>\n<p>Yellow Pig Day originated from the fascination that two Princeton University students had with the number 17 during the 1960s. The two students, Michael Spivak and David C. Kelly, were studying the properties of the number 17. They spent a great deal of time marveling at how a single number could feel both simple and endlessly complex at the same time.<\/p>\n<p>While analyzing the number 17, they discovered that 17 is the sum of the first four prime numbers (2 + 3 + 5 + 7). They also found that it is the only number that can be expressed as the sum of three distinct prime numbers in exactly three different ways. Excited by these remarkable properties, they invented an imaginary creature called the \u201cYellow Pig\u201d to represent the number 17, giving it 17 of nearly every body part, including teeth and toes.<\/p>\n<p>The most widely accepted story about the origins of the yellow color and the pig shape is that the yellow was chosen because it was Kelly's favorite color, while the pig was inspired by the English idiom about buying something without seeing it first\u2014playing on the mystery surrounding the various characteristics of Number 17.<\/p>\n<h2>Why does it have to be July 17?<\/h2>\n<p>The reason the celebration falls on July 17 is self-evident: it combines the 17th day with the month of July, making the number 7\/17 fit perfectly in the American date format. As a result, this day has become an annual observance celebrated on university campuses and among mathematicians around the world for more than half a century.<\/p>\n<h2>A cute and hilarious celebration activity.<\/h2>\n<p>Today, people often wear yellow pig T-shirts, fold origami pigs, sing fun songs, and organize games with a special focus on the number 17. These activities help maintain a lighthearted atmosphere and make it easy for everyone to participate, whether they are professional mathematicians or simply people interested in numbers.<\/p>\n<p>The highlights of the celebration are the \u201cYellow Pig Cake,\u201d often decorated in the shape of a yellow pig or the number 17, and the \u201cYellow Pig Carols,\u201d a collection of songs and poems filled with jokes and references to various mathematical concepts. Another tradition is for mathematicians to spend part of the day thinking about or working with numbers that are multiples of 17.<\/p>\n<h2>From a Personal Joke to an Academic Tradition<\/h2>\n<p>A private joke between two roommates gradually grew into an institutional obsession that has been passed down for decades. Both Spivak and Kelly went on to have distinguished careers in mathematics. Spivak received the Leroy P. Steele Prize in 1985 and authored several renowned mathematics textbooks, which are rumored to contain hidden references to the Yellow Pig. Meanwhile, Kelly founded the Hampshire College Summer Studies in Mathematics program in 1971, a program that continues to this day and remains a place where the tradition of Yellow Pig Day is enthusiastically preserved.<\/p>\n<h2>Why is this kind of thing important to the field of mathematics?<\/h2>\n<p>Although Yellow Pig Day may sound more like a joke than an academic observance, it actually reflects the human and playful side of mathematics\u2014a field that is often seen as dry and overly serious. The fact that a leading mathematician like Spivak has preserved a classroom joke from his student days and passed that sense of fun on to later generations through his textbooks and various activities shows that a passion for numbers does not always have to be accompanied by seriousness.<\/p>\n<p>Today, if you happen to see someone wearing a yellow pig T-shirt or hear someone talking about the unusual properties of the number 17, don't be surprised. They're celebrating one of the mathematics community's most charming traditions, one that has been around for more than half a century. Happy Yellow Pig Day!<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-49008 lazyload\" data-src=\"https:\/\/mathed.bru.ac.th\/wp-content\/uploads\/2026\/07\/178-300x200.jpg\" alt=\"\" width=\"300\" height=\"200\" data-srcset=\"https:\/\/mathed.bru.ac.th\/wp-content\/uploads\/2026\/07\/178-300x200.jpg 300w, https:\/\/mathed.bru.ac.th\/wp-content\/uploads\/2026\/07\/178-1024x682.jpg 1024w, https:\/\/mathed.bru.ac.th\/wp-content\/uploads\/2026\/07\/178-18x12.jpg 18w, https:\/\/mathed.bru.ac.th\/wp-content\/uploads\/2026\/07\/178.jpg 1536w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 300px; --smush-placeholder-aspect-ratio: 300\/200;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-49008\" src=\"https:\/\/mathed.bru.ac.th\/wp-content\/uploads\/2026\/07\/178-300x200.jpg\" alt=\"\" width=\"300\" height=\"200\" srcset=\"https:\/\/mathed.bru.ac.th\/wp-content\/uploads\/2026\/07\/178-300x200.jpg 300w, https:\/\/mathed.bru.ac.th\/wp-content\/uploads\/2026\/07\/178-1024x682.jpg 1024w, https:\/\/mathed.bru.ac.th\/wp-content\/uploads\/2026\/07\/178-18x12.jpg 18w, https:\/\/mathed.bru.ac.th\/wp-content\/uploads\/2026\/07\/178.jpg 1536w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/noscript><\/p>","protected":false},"excerpt":{"rendered":"<p>\u0e27\u0e31\u0e19\u0e19\u0e35\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e27\u0e31\u0e19\u0e2b\u0e21\u0e39\u0e40\u0e2b\u0e25\u0e37\u0e2d\u0e07! \u0e23\u0e39\u0e49\u0e08\u0e31\u0e01 Yellow Pig Day \u0e27\u0e31\u0e19\u0e2b\u0e22\u0e38\u0e14\u0e2a\u0e38\u0e14\u0e41\u0e1b\u0e25\u0e01\u0e02\u0e2d\u0e07\u0e27\u0e07\u0e01\u0e32\u0e23\u0e04\u0e13\u0e34\u0e15\u0e28\u0e32\u0e2a\u0e15\u0e23\u0e4c \u0e17\u0e38\u0e01\u0e27\u0e31\u0e19\u0e17\u0e35\u0e48 17 \u0e01\u0e23\u0e01\u0e0e\u0e32\u0e04\u0e21 \u0e43\u0e19\u0e2b\u0e21\u0e39\u0e48\u0e19\u0e31\u0e01\u0e04\u0e13\u0e34\u0e15\u0e28\u0e32\u0e2a\u0e15\u0e23\u0e4c\u0e41\u0e25\u0e30\u0e1c\u0e39\u0e49\u0e0a\u0e37\u0e48\u0e19\u0e0a\u0e2d\u0e1a\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02\u0e17\u0e31\u0e48\u0e27\u0e42\u0e25\u0e01 \u0e21\u0e35\u0e27\u0e31\u0e19\u0e2b\u0e22\u0e38\u0e14\u0e40\u0e25\u0e47\u0e01\u0e46 \u0e17\u0e35\u0e48\u0e41\u0e1b\u0e25\u0e01\u0e1b\u0e23\u0e30\u0e2b\u0e25\u0e32\u0e14\u0e41\u0e15\u0e48\u0e19\u0e48\u0e32\u0e23\u0e31\u0e01\u0e0b\u0e48\u0e2d\u0e19\u0e2d\u0e22\u0e39\u0e48 \u0e19\u0e31\u0e48\u0e19\u0e04\u0e37\u0e2d \u0e27\u0e31\u0e19\u0e2b\u0e21\u0e39\u0e40\u0e2b\u0e25\u0e37\u0e2d\u0e07 (Yellow Pig Day) \u0e27\u0e31\u0e19\u0e17\u0e35\u0e48\u0e44\u0e21\u0e48\u0e44\u0e14\u0e49\u0e40\u0e01\u0e35\u0e48\u0e22\u0e27\u0e01\u0e31\u0e1a\u0e2b\u0e21\u0e39\u0e08\u0e23\u0e34\u0e07\u0e46 \u0e41\u0e15\u0e48\u0e40\u0e1b\u0e47\u0e19\u0e01\u0e32\u0e23\u0e40\u0e09\u0e25\u0e34\u0e21\u0e09\u0e25\u0e2d\u0e07\u0e43\u0e2b\u0e49\u0e01\u0e31\u0e1a\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02\u0e18\u0e23\u0e23\u0e21\u0e14\u0e32\u0e46 \u0e15\u0e31\u0e27\u0e2b\u0e19\u0e36\u0e48\u0e07\u0e17\u0e35\u0e48\u0e0b\u0e48\u0e2d\u0e19\u0e04\u0e27\u0e32\u0e21\u0e19\u0e48\u0e32\u0e2a\u0e19\u0e43\u0e08\u0e44\u0e27\u0e49\u0e21\u0e32\u0e01\u0e01\u0e27\u0e48\u0e32\u0e17\u0e35\u0e48\u0e04\u0e34\u0e14 \u0e19\u0e31\u0e48\u0e19\u0e04\u0e37\u0e2d\u0e40\u0e25\u0e02 17 \u0e08\u0e38\u0e14\u0e01\u0e33\u0e40\u0e19\u0e34\u0e14\u0e08\u0e32\u0e01\u0e2b\u0e49\u0e2d\u0e07\u0e1e\u0e31\u0e01\u0e19\u0e31\u0e01\u0e28\u0e36\u0e01\u0e29\u0e32\u0e17\u0e35\u0e48 Princeton \u0e27\u0e31\u0e19\u0e2b\u0e21\u0e39\u0e40\u0e2b\u0e25\u0e37\u0e2d\u0e07\u0e16\u0e37\u0e2d\u0e01\u0e33\u0e40\u0e19\u0e34\u0e14\u0e02\u0e36\u0e49\u0e19\u0e08\u0e32\u0e01\u0e04\u0e27\u0e32\u0e21\u0e2b\u0e25\u0e07\u0e43\u0e2b\u0e25\u0e17\u0e35\u0e48\u0e19\u0e31\u0e01\u0e28\u0e36\u0e01\u0e29\u0e32\u0e2a\u0e2d\u0e07\u0e04\u0e19\u0e02\u0e2d\u0e07\u0e21\u0e2b\u0e32\u0e27\u0e34\u0e17\u0e22\u0e32\u0e25\u0e31\u0e22 Princeton \u0e21\u0e35\u0e15\u0e48\u0e2d\u0e40\u0e25\u0e02 17 \u0e43\u0e19\u0e0a\u0e48\u0e27\u0e07\u0e17\u0e28\u0e27\u0e23\u0e23\u0e29 1960 \u0e42\u0e14\u0e22\u0e19\u0e31\u0e01\u0e28\u0e36\u0e01\u0e29\u0e32\u0e17\u0e31\u0e49\u0e07\u0e2a\u0e2d\u0e07\u0e04\u0e37\u0e2d Michael Spivak \u0e41\u0e25\u0e30 David C. Kelly \u0e0b\u0e36\u0e48\u0e07\u0e01\u0e33\u0e25\u0e31\u0e07\u0e28\u0e36\u0e01\u0e29\u0e32\u0e04\u0e38\u0e13\u0e2a\u0e21\u0e1a\u0e31\u0e15\u0e34\u0e02\u0e2d\u0e07\u0e40\u0e25\u0e02 17 \u0e2d\u0e22\u0e39\u0e48 \u0e1e\u0e27\u0e01\u0e40\u0e02\u0e32\u0e43\u0e0a\u0e49\u0e40\u0e27\u0e25\u0e32\u0e19\u0e32\u0e19\u0e17\u0e35\u0e40\u0e14\u0e35\u0e22\u0e27\u0e43\u0e19\u0e01\u0e32\u0e23\u0e1e\u0e34\u0e28\u0e27\u0e07\u0e27\u0e48\u0e32\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02\u0e40\u0e1e\u0e35\u0e22\u0e07\u0e15\u0e31\u0e27\u0e40\u0e14\u0e35\u0e22\u0e27\u0e08\u0e30\u0e2a\u0e32\u0e21\u0e32\u0e23\u0e16\u0e43\u0e2b\u0e49\u0e04\u0e27\u0e32\u0e21\u0e23\u0e39\u0e49\u0e2a\u0e36\u0e01\u0e17\u0e31\u0e49\u0e07\u0e40\u0e23\u0e35\u0e22\u0e1a\u0e07\u0e48\u0e32\u0e22\u0e41\u0e25\u0e30\u0e0b\u0e31\u0e1a\u0e0b\u0e49\u0e2d\u0e19\u0e44\u0e21\u0e48\u0e23\u0e39\u0e49\u0e08\u0e1a\u0e44\u0e1b\u0e1e\u0e23\u0e49\u0e2d\u0e21\u0e01\u0e31\u0e19\u0e44\u0e14\u0e49\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e44\u0e23 \u0e23\u0e30\u0e2b\u0e27\u0e48\u0e32\u0e07\u0e01\u0e32\u0e23\u0e27\u0e34\u0e40\u0e04\u0e23\u0e32\u0e30\u0e2b\u0e4c\u0e40\u0e25\u0e02 17 \u0e19\u0e35\u0e49\u0e40\u0e2d\u0e07 \u0e1e\u0e27\u0e01\u0e40\u0e02\u0e32\u0e04\u0e49\u0e19\u0e1e\u0e1a\u0e27\u0e48\u0e32 17 \u0e40\u0e1b\u0e47\u0e19\u0e1c\u0e25\u0e23\u0e27\u0e21\u0e02\u0e2d\u0e07\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e2a\u0e35\u0e48\u0e15\u0e31\u0e27\u0e41\u0e23\u0e01 (2 \u0e1a\u0e27\u0e01 3 \u0e1a\u0e27\u0e01 5 \u0e1a\u0e27\u0e01 7) \u0e41\u0e25\u0e30\u0e22\u0e31\u0e07\u0e40\u0e1b\u0e47\u0e19\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e14\u0e35\u0e22\u0e27\u0e17\u0e35\u0e48\u0e40\u0e1b\u0e47\u0e19\u0e1c\u0e25\u0e23\u0e27\u0e21\u0e02\u0e2d\u0e07\u0e08\u0e33\u0e19\u0e27\u0e19\u0e40\u0e09\u0e1e\u0e32\u0e30\u0e2a\u0e32\u0e21\u0e15\u0e31\u0e27\u0e17\u0e35\u0e48\u0e15\u0e48\u0e32\u0e07\u0e01\u0e31\u0e19\u0e44\u0e14\u0e49\u0e16\u0e36\u0e07\u0e2a\u0e32\u0e21\u0e41\u0e1a\u0e1a\u0e1e\u0e2d\u0e14\u0e35&#8230;<\/p>","protected":false},"author":10,"featured_media":49008,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"ngg_post_thumbnail":0,"footnotes":""},"categories":[16],"tags":[],"class_list":["post-49007","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-article"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v23.3 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0e27\u0e31\u0e19\u0e19\u0e35\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e27\u0e31\u0e19\u0e2b\u0e21\u0e39\u0e40\u0e2b\u0e25\u0e37\u0e2d\u0e07! \u0e23\u0e39\u0e49\u0e08\u0e31\u0e01 Yellow Pig Day \u0e27\u0e31\u0e19\u0e2b\u0e22\u0e38\u0e14\u0e2a\u0e38\u0e14\u0e41\u0e1b\u0e25\u0e01\u0e02\u0e2d\u0e07\u0e27\u0e07\u0e01\u0e32\u0e23\u0e04\u0e13\u0e34\u0e15\u0e28\u0e32\u0e2a\u0e15\u0e23\u0e4c - \u0e2a\u0e32\u0e02\u0e32\u0e27\u0e34\u0e0a\u0e32\u0e04\u0e13\u0e34\u0e15\u0e28\u0e32\u0e2a\u0e15\u0e23\u0e4c<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathed.bru.ac.th\/en\/2026\/07\/17\/\u0e27\u0e31\u0e19\u0e19\u0e35\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e27\u0e31\u0e19\u0e2b\u0e21\u0e39\u0e40\u0e2b\u0e25\u0e37\u0e2d\u0e07\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0e27\u0e31\u0e19\u0e19\u0e35\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e27\u0e31\u0e19\u0e2b\u0e21\u0e39\u0e40\u0e2b\u0e25\u0e37\u0e2d\u0e07! \u0e23\u0e39\u0e49\u0e08\u0e31\u0e01 Yellow Pig Day \u0e27\u0e31\u0e19\u0e2b\u0e22\u0e38\u0e14\u0e2a\u0e38\u0e14\u0e41\u0e1b\u0e25\u0e01\u0e02\u0e2d\u0e07\u0e27\u0e07\u0e01\u0e32\u0e23\u0e04\u0e13\u0e34\u0e15\u0e28\u0e32\u0e2a\u0e15\u0e23\u0e4c\" \/>\n<meta property=\"og:description\" content=\"\u0e27\u0e31\u0e19\u0e19\u0e35\u0e49\u0e40\u0e1b\u0e47\u0e19\u0e27\u0e31\u0e19\u0e2b\u0e21\u0e39\u0e40\u0e2b\u0e25\u0e37\u0e2d\u0e07! \u0e23\u0e39\u0e49\u0e08\u0e31\u0e01 Yellow Pig Day \u0e27\u0e31\u0e19\u0e2b\u0e22\u0e38\u0e14\u0e2a\u0e38\u0e14\u0e41\u0e1b\u0e25\u0e01\u0e02\u0e2d\u0e07\u0e27\u0e07\u0e01\u0e32\u0e23\u0e04\u0e13\u0e34\u0e15\u0e28\u0e32\u0e2a\u0e15\u0e23\u0e4c \u0e17\u0e38\u0e01\u0e27\u0e31\u0e19\u0e17\u0e35\u0e48 17 \u0e01\u0e23\u0e01\u0e0e\u0e32\u0e04\u0e21 \u0e43\u0e19\u0e2b\u0e21\u0e39\u0e48\u0e19\u0e31\u0e01\u0e04\u0e13\u0e34\u0e15\u0e28\u0e32\u0e2a\u0e15\u0e23\u0e4c\u0e41\u0e25\u0e30\u0e1c\u0e39\u0e49\u0e0a\u0e37\u0e48\u0e19\u0e0a\u0e2d\u0e1a\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02\u0e17\u0e31\u0e48\u0e27\u0e42\u0e25\u0e01 \u0e21\u0e35\u0e27\u0e31\u0e19\u0e2b\u0e22\u0e38\u0e14\u0e40\u0e25\u0e47\u0e01\u0e46 \u0e17\u0e35\u0e48\u0e41\u0e1b\u0e25\u0e01\u0e1b\u0e23\u0e30\u0e2b\u0e25\u0e32\u0e14\u0e41\u0e15\u0e48\u0e19\u0e48\u0e32\u0e23\u0e31\u0e01\u0e0b\u0e48\u0e2d\u0e19\u0e2d\u0e22\u0e39\u0e48 \u0e19\u0e31\u0e48\u0e19\u0e04\u0e37\u0e2d \u0e27\u0e31\u0e19\u0e2b\u0e21\u0e39\u0e40\u0e2b\u0e25\u0e37\u0e2d\u0e07 (Yellow Pig Day) \u0e27\u0e31\u0e19\u0e17\u0e35\u0e48\u0e44\u0e21\u0e48\u0e44\u0e14\u0e49\u0e40\u0e01\u0e35\u0e48\u0e22\u0e27\u0e01\u0e31\u0e1a\u0e2b\u0e21\u0e39\u0e08\u0e23\u0e34\u0e07\u0e46 \u0e41\u0e15\u0e48\u0e40\u0e1b\u0e47\u0e19\u0e01\u0e32\u0e23\u0e40\u0e09\u0e25\u0e34\u0e21\u0e09\u0e25\u0e2d\u0e07\u0e43\u0e2b\u0e49\u0e01\u0e31\u0e1a\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02\u0e18\u0e23\u0e23\u0e21\u0e14\u0e32\u0e46 \u0e15\u0e31\u0e27\u0e2b\u0e19\u0e36\u0e48\u0e07\u0e17\u0e35\u0e48\u0e0b\u0e48\u0e2d\u0e19\u0e04\u0e27\u0e32\u0e21\u0e19\u0e48\u0e32\u0e2a\u0e19\u0e43\u0e08\u0e44\u0e27\u0e49\u0e21\u0e32\u0e01\u0e01\u0e27\u0e48\u0e32\u0e17\u0e35\u0e48\u0e04\u0e34\u0e14 \u0e19\u0e31\u0e48\u0e19\u0e04\u0e37\u0e2d\u0e40\u0e25\u0e02 17 \u0e08\u0e38\u0e14\u0e01\u0e33\u0e40\u0e19\u0e34\u0e14\u0e08\u0e32\u0e01\u0e2b\u0e49\u0e2d\u0e07\u0e1e\u0e31\u0e01\u0e19\u0e31\u0e01\u0e28\u0e36\u0e01\u0e29\u0e32\u0e17\u0e35\u0e48 Princeton \u0e27\u0e31\u0e19\u0e2b\u0e21\u0e39\u0e40\u0e2b\u0e25\u0e37\u0e2d\u0e07\u0e16\u0e37\u0e2d\u0e01\u0e33\u0e40\u0e19\u0e34\u0e14\u0e02\u0e36\u0e49\u0e19\u0e08\u0e32\u0e01\u0e04\u0e27\u0e32\u0e21\u0e2b\u0e25\u0e07\u0e43\u0e2b\u0e25\u0e17\u0e35\u0e48\u0e19\u0e31\u0e01\u0e28\u0e36\u0e01\u0e29\u0e32\u0e2a\u0e2d\u0e07\u0e04\u0e19\u0e02\u0e2d\u0e07\u0e21\u0e2b\u0e32\u0e27\u0e34\u0e17\u0e22\u0e32\u0e25\u0e31\u0e22 Princeton \u0e21\u0e35\u0e15\u0e48\u0e2d\u0e40\u0e25\u0e02 17 \u0e43\u0e19\u0e0a\u0e48\u0e27\u0e07\u0e17\u0e28\u0e27\u0e23\u0e23\u0e29 1960 \u0e42\u0e14\u0e22\u0e19\u0e31\u0e01\u0e28\u0e36\u0e01\u0e29\u0e32\u0e17\u0e31\u0e49\u0e07\u0e2a\u0e2d\u0e07\u0e04\u0e37\u0e2d Michael Spivak \u0e41\u0e25\u0e30 David C. 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