【纪录片】《统一与兴盛》,中国最棒的历史类纪录片

Probably the best documentary on China’s history to be found on YouTube.

Travel back in time to Singapore’s pre-colonial history beyond 1819

This is quite a nice exhibition to check out the history of Singapore before independence. Contrary to popular belief, Singapore was already far from a “fishing village” in 1819. Admission for Singapore citizens and PRs are free.

CapitaStar members can get a free tea infuser with an image of a tapir (how cool is that), with just 100 points.


From September 21, check out the An Old New World exhibition at the National Museum of Singapore.

Explore the 200 years leading up to the establishment of an entrepôt in Singapore in 1819, beginning with the bustling world of trade in the East Indies that attracted the Dutch and British East India Companies from the early 17th century. The exhibition is a telling of that story, and a reflection of the broader forces at play that culminated in the events of 1819.

Here’s an exclusive gift to CapitaStar members – get a tea infuser with an image of a Malayan tapir inspired by William Farquhar Collection of Natural History Drawings when you visit the exhibition at 100 STAR$ through CapitaStar App and redeem at National Museum exhibition counter at Basement 1!

(Gift to be redeemed on CapitaStar App. Source: CapitaStar Email Newsletter)

Interesting Facts about Green’s Theorem

Firstly, Green’s Theorem is named after the mathematician George Green (14 July 1793 – 31 May 1841). Something remarkable about George Green is that he is almost entirely self-taught. He only went to school for one year (when he was 8 years old). His father was a baker, and George helped out in the bakery. Later, at the age of 40 he went to Cambridge to get a formal degree, but even before that he had already discovered Green’s Theorem. It is a mystery where did George Green learn his mathematical knowledge from. (During his time there was clearly no such thing as internet.)

It is unclear to historians exactly where Green obtained information on current developments in mathematics, as Nottingham had little in the way of intellectual resources. What is even more mysterious is that Green had used “the Mathematical Analysis,” a form of calculus derived from Leibniz that was virtually unheard of, or even actively discouraged, in England at the time (due to Leibniz being a contemporary of Newton who had his own methods that were championed in England). This form of calculus, and the developments of mathematicians such as LaplaceLacroix and Poisson were not taught even at Cambridge, let alone Nottingham, and yet Green had not only heard of these developments, but also improved upon them.
-Wikipedia

One of the applications of Green’s Theorem that I find interesting is finding the area of the ellipse: https://www.whitman.edu/mathematics/calculus_online/section16.04.html. (Scroll down to Example 16.4.3). I find the proof very neat, you may want to check it out.

The Boy Who Loved Math: The Improbable Life of Paul Erdos (Hardcover)

The secret to being good at Maths (or any other subject) is to like it and enjoy it. This would make working hard and practicing Maths easier and more efficient. 2 hours can easily fly past while doing Maths if one is interested in it.

This is a storybook (suitable for young kids) about “The Boy Who Loved Math”, a true story about the Mathematician Paul Erdos.

The Boy Who Loved Math: The Improbable Life of Paul Erdos

Most people think of mathematicians as solitary, working away in isolation. And, it’s true, many of them do. But Paul Erdos never followed the usual path. At the age of four, he could ask you when you were born and then calculate the number of seconds you had been alive in his head. But he didn’t learn to butter his own bread until he turned twenty. Instead, he traveled around the world, from one mathematician to the next, collaborating on an astonishing number of publications. With a simple, lyrical text and richly layered illustrations, this is a beautiful introduction to the world of math and a fascinating look at the unique character traits that made “Uncle Paul” a great man.

Recommended Calculus Book for Undergraduates

Thomas’ Calculus (12th Edition)

Thomas’ Calculus is the recommended textbook to learn Undergraduate Calculus (necessary for Engineering, Physics and many science majors). It is used by NUS and can be bought at the Coop.

Full of pictures, and many exercises, this book would be a good book to read for anyone looking to learn Calculus in advance.

Carl Friedrich Gauss

Source: http://en.wikipedia.org/wiki/Carl_Friedrich_Gauss

Johann Carl Friedrich Gauss (/ɡs/; German: Gauß, pronounced [ɡaʊs] ( listen); Latin: Carolus Fridericus Gauss) (30 April 1777 – 23 February 1855) was a German mathematician and physical scientist who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy and optics.

Sometimes referred to as the Princeps mathematicorum[1] (Latin, “the Prince of Mathematicians” or “the foremost of mathematicians”) and “greatest mathematician since antiquity“, Gauss had a remarkable influence in many fields of mathematics and science and is ranked as one of history’s most influential mathematicians.[2]

Carl Friedrich Gauss.jpg

Continue reading at http://en.wikipedia.org/wiki/Carl_Friedrich_Gauss