Check out this interesting comic riddle from Spikedmath.com! The sky is the limit when it comes to Math!
Do give it a try, before scrolling down to view the answer.
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Answer: sky
First, we use L’Hopital’s Rule since the initial limit is a 0/0 indeterminate form.
Substituting x=k into the expression, we get 
It is written in Japanese, translated in Chinese (Taiwan).
結城 浩(1963 -) is a Japanese Math Popular Book Writer for Secondary and High School students. In the “Galois Theory” (Chapter 10) she boldly attempted to explain to them such complicated concepts: Quotient Group, Field Extension, Group Order, Normal Group, Solvable Group …
http://m.ruten.com.tw/goods/show.php?g=21437146332387
http://www.nh.com.tw/nh_bookView.jsp?cat_c=01&stk_c=9789866097010
Today we will introduce two driving schools for the benefit of our readers who live in Canada. Canadians are one of the top 10 countries who read our blog!
One of them is Driving school in Mississauga. Located in the city of Mississauga, one of Canada’s rising cities, this driving school has patient and friendly instructors. Learning driving is just like learning any subject, it requires patient and friendly teachers to make the whole process more enjoyable.
The next school is a Driving school in Kitchener. Also nicely located in Canada, this driving school teaches how to drive safely under winter conditions. Just like in Math, students need to know how to prevent careless mistakes, as road accidents can be deadly.
In case you need to know the address about where to find those Driving schools, I have provided the addresses below. Hope it helps and have fun learning driving!
Ultimate Drivers – Driving School Mississauga
3173 Erindale Station Rd #101
Mississauga, ON
(905) 848-6565
Ultimate Drivers – Driving School Kitchener
301 King St E #319, Kitchener, ON N2G 2L3
(519) 954-2266
7+2+5 = ?
(Test the logic pattern)
Ans: (Scroll below — only after you have tried to solve it )
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7+(2)+5= 143547
7×2=14
7×5=35
14 + 35 – (2)=47
Are you a auditory learner? (one who learns best through hearing) Do you wish you could listen to some books on your long journey to work or school? Try Audible and Get Two Free Audiobooks
Some other interesting blog posts you may want to check out are:
I have also set up a page to promote Singapore Math Books hopefully to a global audience!
President Obama is making community college free in the US!
Very interesting discussion on the special properties of certain numbers like 153!
No equation, no formula, no calculator, no writing on paper, just do mental calculation.
What is the answer in the last diagram ?
Scroll down to see the answer, but not until you have tried yourself.
(There are many methods, but one is the fastest and the best !)
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Ans:
Add the first 3 diagrams: 10+20+24 = 54 for 2x (Dog + Cat + Rabbit).
Dog + Cat + Rabbit = 54/2 = 27
Amazing calculation technique of Indian kids:
It is the advanced level of abacus calculator, where the physical abacus is replaced by a virtual abacus in the mind — see the kids need to move their fingers in the air, as if they touch a real abacus. This is different from the mental calculation sans a real electronic calculator, in which case no fingers playing the pressing buttons of an electronic calculator.
How nice it would be if yesterday were tomorrow, then today would be Friday.
What is ‘today’ here ?
Answer:
A. Wednesday;
B. Thursday;
C. Friday;
D. Sunday
Hints:
either use left brain (by logic) or
right brain (by EQ, after a Sunday evening).
Try before scrolling below for answers:
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Answer (1) : by logic (algebra)
Today = Wednesday
Let today = d
If d-1 = d+1 (yesterday = tomorrow)
Then d = d+2 (today = the day after tomorrow)
and d+2= 5 (today =…
View original post 40 more words
Are crows the ultimate problem solvers?
Scientists have also discovered crows can count up to 3. Weren’t human primitives so too ? In Chinese, English, French, etc, anything upto 3 is equivalent to many.
Crows are ugly black birds, found commonly in the hawker centers here scrounging left over food on the tables or rubbish dumps. They are good children with strong filial piety, bringing food back to feed old parents. Below is a Tang dynasty poem by Bai Juyi白居易 (800AD) praising the crows:
Compare below the Singapore Math versus Algebra Method:
Mrs. Lim 68 (son 36, daughter 32)
Algebra Method: Try yourself !
(It involves solving 2 equations of 2 variables)
This is for student inclined in arts and graphic designing. Hope it is helpful! 🙂
Building a strong career in Logo Design
Before you seek to make a career in logo designing, you should determine whether your interests and skills are aligned to those required for a logo designer. The following are the basic interests and inclinations that a logo designer should have:
Skills necessary for a career in logo design
There is a set of skills that will ensure that you perform the best in your career should you choose to pursue logo design. The core point of having these skills is to be equipped to work competently, combining natural abilities with school knowledge and in-field experience.
Design skills – Logo designers will tend to have an artistic inclination, with the flare for design in particular. Aside from that, they should be equipped with operative knowledge of graphic design software such as Photoshop, and Adobe Illustrator, among others.
Communication skills – it is important to have the skills required to gain a comprehensive understanding of client or employer requirements, and for that you’ll need superior communication skills. You also should be able to explain clearly why each design element was chosen over other options. If you’re a freelancer, communication skills will be invaluable when you are building networks and selling your business to potential clients.
Business skills – logo design is a very business oriented field. As a freelance logo designer, you should have the skill to build various aspects of your business, including marketing yourself to new clients, maintaining relationships with existing clients and having the time management and planning skills to coordinate multiple projects within the time and budgetary allocations for each project. You should be able to plan your finances also so that you can grow your business and knowledge.
Practical/physiological abilities – A logo designer will probably spend a good portion of their life staring at a computer screen. You should be physically and mentally prepared to put in the long work hours and have a long concentration span. Your eyesight should also be very good, since logo design demands a high level of precision.
Personality traits – There are certain demands of the Logo Design profession that should be ingrained in your character to help you succeed in your career and live through the various challenges presented on the job:
Author Bio
John Lewis has 5 years’ experience in logo design at http://bigdropinc.com/. For more information and guidance on logo design and to view and receive top reviews for design work, contact us below
Assumptions:
1. Class A (< 1600 cc) Old car (10 years expiring soon) is in good condition:
♢ Less than 200,000 KM
♢ Certified safe by qualified workshop
2. COE last-3-month average price ~$ 60,000 (10 years)
=> $30,000 (5 years)
3. New Car market price of $100,000
4. Parf rebate $7,000 (forfeited if extend car beyond 10 years)
5. Monthly Car Loan (@2.88% for max. bank loan 60% & max 5 years = $60k) = $1,144 (= interest + capital)
5-year car loan = $1,144 x12x5 = $ 68,640
Downpayment Cash = $40,000 (or $20,000 for 5-year Cost of Ownership )
Compare Buy or Extension (Both 5 years)
| Description | Buy | Extension |
| 1. Car Price (down payment) for 5 years | $20,000 | $… |
| 2.COE (5-Yrs) | $… | $ 30,000 |
| 3. Car Loan (5 Yrs) = car price + COE | $ 68,640 | $… |
| 4. Parf rebate | $7,000 | – $ 7,000 |
| Cost of Ownership… |
View original post 46 more words
‘9’ is the biggest number in the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.
9 is reserved for the ancient Chinese Emperors whose robes were sewn with 9 dragons, and the palace roof top decorated with 9 dragons too.
Find out by doing this Free Career Analysis by renowned survey company Universum:
http://uledge.co/ambWWCY
Thanks a lot for your help! You will also benefit by finding out your Career Personality, which is released at the end of the survey!
1st prize: Win a week-long trip to Singapore, Stockholm, or New York.
Website: http://uledge.co/ambWWCY
Recently, I have been blogging at http://mathtuition88.blogspot.com. Here are the latest posts that you may want to check out!
This is a JavaScript app that I wrote to perform the XOR function on two hexadecimal strings. This is to help solve one of the cryptography assignements on Coursera.
I am providing tuition for SMU Calculus module: Math 001. A previous student of mine passed the module, despite not having any H2 Maths background. The module is highly challenging, and includes multivariable calculus.
Featured Book:
The Fractal Geometry of Nature
下面有6個考題，就知道你有多聰明。
試一試，古代希臘的智商測試，你敢挑戰嗎？
http://china-dafencun.com/wx/xlcs/?from=timeline&isappinstalled=0
請遵守遊戲規則, 才算准确。
Most of my friends got 135 scores (super genius) – so are you !
This is Singapore PSLE (Primary School Leaving Exams) Maths for 12- year-old kids.
It is not difficult for adults, but I wonder most kids have such analytical skill ?
Answers below (scroll far behind….)
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(1)
(2):
R – B = 1 for every suite of 5 cards
If R-B = 36
36×5= 180 cards
Hope this article will be useful for students wishing to enter into the highly popular but also competitive Finance Industry! Finance jobs are open to students who major in diverse disciplines, including Engineering.
Important Guidelines For Cracking Interview In Finance Company
Cracking an interview at times seems to be a daunting task. If you are facing the jitters because of the upcoming interview in the finance company, then the best way to do so is to be prepared for the interview. Though there is no on-stop solution for the same, but remembering few important points can help you to overcome the fear related to the interview. During the interview in the financial sector, the interviewers assess whether the candidate is appropriate for the job, both in the professional and personal level. It is important for the job-seekers to communicate their ideas clearly during the interview process so that the prospective employer can gage how the candidate will perform under pressure.
Few tips to remember
Some amount of research, planning and preparation is required to crack the interview. Adequateknowledge regarding the subject is the key to crack the interview. Following few simple tips can help you to master the interview.
Knowing these tricks will help you to answer the questions asked during the interview seamlessly. It is important to remember that the key to cracking the interview is to stay positive and remain cool all through.
Author Bio: Ralph Spencer is a career counselor, and he also writes blogs on the tips for a successful career. You can click here to know the tips of cracking an interview.
If you know or are a stressed teen, returning veteran, or a high school counselor then this free online service may be of great service to you. MyVerse is a free online service dedicated to psychometrically matching individuals to 1-5 careers via a color test. MyVerse will be a great first step towards a career path, and create a foundation for a person to build upon.
Right now 92% of high school seniors are not sure what career path they want to take and there is a 52% drop out rate among first year college students. MyVerse will help guide individuals along the correct path and give people a goal to achieve which will drastically reduce the dropout rates across the nation.
Right now MyVerse has a campaign on RocketHub found here. There you can contribute to the MyVerse campaign so we can see this awesome new online career service that has so much potential come to life.
Interesting thing about saturday in 2015
4/4/2015 saturday
6/6/2015 saturday
8/8/2015 saturday
10/10/2015 saturday
12/12/2015 saturday
Calendar of 2015 is same as calendar of 1997
Date & Day even Festivals are same,
Who told history doesn’t repeat ?
So
We are back in 90s
Have a Blessed Happy New Year!
Calendar Math explains:
The WordPress.com stats helper monkeys prepared a 2014 annual report for this blog.
Here’s an excerpt:
The Louvre Museum has 8.5 million visitors per year. This blog was viewed about 200,000 times in 2014. If it were an exhibit at the Louvre Museum, it would take about 9 days for that many people to see it.
女童记不住乘法表崩溃大哭”三五太難了”:
This 4-year-old Chinese girl cried when her mother ‘tortured’ her to recite Multiplication table by rote learning. She always got stuck at 3 x 5= ?
She complained it is too difficult.
Most parents are teaching the kids Mathematics the wrong way! No wonder they grow up with hate and fear for Maths subject throughout the entire life.
Same in schools and universities, Maths are taught the wrong ways by incompetent Math educators.
Mind, Brain And Education
1. Spaced Repetition
2. Retrieval Practice
Tool: Test
Not to assess what students know, but to reinforce it.
Memory is like a storage tank, a test as a kind of dipstick that measure how much information we’ve put in there.
But that’s not how the brain works.
Every time we pull up a memory, we make it stronger and more lasting, so that testing doesn’t just measure, it changes learning.
Simply reading over materials to be learnt, or even taking notes and making outlines, as many homework assignments require, doesn’t have this effect.
Language learner: 80% retained.
Science: 50% retained.
Self-quizzing (focus less on input of knowledge by passive reading, focus more on output by calling out that same information from brain.)
Cognitive disfluency:
Tough topic, recall better.
Interleaved assignment: mix up different kinds of problems instead of grouping by type.
Weekly Homework (hours)
A recent survey in 44 OECD countries reveals for 15-year-old students an average of 5 hours / week of homework.
| Country | Homework Hrs | Extra Hrs | PISA |
| Shanghai | 14 | Tuitions | 1 |
| Singapore | 9.4 | Tuitions | 2 |
| Hong Kong | 6 | Tuitions | 3 |
| Korea | 2.7 | Tuitions | 4 |
| Japan | 3.8 | Tuitions | 5 |
| Taipei | 5.9 | Tuitions | 6 |
| Finland | 2.8 | 7 | |
| England | 4.9 | 26 |
PISA 2012:
PISA is like the Army IPPT Test on physical fitness. A fit soldier and a weak soldier go to war, whether he can fight with courage under duress to win the battle, has nothing to do with his IPPT scores.
Same for PISA scores…that explains why Americans are poor in PISA but produce many entrepreneurs, Nobel prize / Fields scientists, whereas China, Singapore, Korea, HK have only few.
In O Level E Maths, students are required to memorize the prefixes: kilo-, mega-, and giga-. For today’s computer literate generation, that should be no problem since kilobytes, megabytes, and gigabytes are used so commonly.
A practical usage of this is Computer Memory, and how to solve the dreaded Blue Screen of Death.
I have recently discovered a truly remarkable method on how to solve the Blue Screen of Death, using a free tool called Glary Utilities. Read more about it here and hope it helps!
Site: http://mathtuition88.blogspot.sg/2014/12/the-math-of-computer-memory-and-how-to.html
Featured Book:
Computer Math: Problem Solving for Information Technology with Student Solutions Manual (2nd Edition)
Is Santa real? Can we prove it using Math that Santa exists / does not exist?
Check out this website at: http://mathtuition88.blogspot.sg/2014/12/the-math-of-santa.html
(Actually it is a sister website of Mathtuition88.com, I have decided to post more often there to build up the site.)
Featured Book:
Everyday Calculus: Discovering the Hidden Math All Around Us
Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.
Free Career Analysis:
Are you a Careerist, Entrepreneur, Harmoniser, Idealist, Hunter, Internationalist, or Leader?
Find out by doing this Free Career Analysis by renowned survey company Universum:
http://uledge.co/ambWWCY
Thanks a lot for your help! You will also benefit by finding out your Career Personality, which is released at the end of the survey!
Website: http://uledge.co/ambWWCY
This is a YouTube Video, based on my earlier post on Fibonacci Numbers and the Mysterious Golden Ratio!
Thanks for watching! Remember to speed up the video when necessary!
Featured Book:
The Fabulous Fibonacci Numbers
The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature – from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world.
With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples).
Source: http://blog.nus.edu.sg/provost/2014/12/23/su1101-the-science-and-art-of-the-su-option/
Check out this link by NUS Provost, Prof. Tan, who was also a Math Professor.
Now, which grades should you keep?
If you obtained A or A+, well done and keep the grade!
If you obtained B+ or A-, I would generally encourage you to keep the grade as well. For those who may be thinking of exercising S/U on a B+ to qualify for the Dean’s List, do note that there will NOT be Dean’s Lists for the first two semesters.
If you obtained Bs and Cs, it is a little tricky. In theory, you should exercise S/U on your worst grades. However, the challenge is to do so without foresight of the grades that you will get for subsequent semesters. You should base your decisions on your academic goals and your self-assessment of your expected academic performance for the rest of your candidature. If you do not have a goal right now, your first semester CAP (before any S/U options are exercised) may be a good guide.
The S/U option is really a lifesaver for those at the borderlines, for example Borderline First Class Honours (CAP around 4.5), or Borderline Second Upper (Cap around 4.0). It makes a difference to your final grades.
The S/U option will apply to all Level 1000 modules (with or without pre-requisites) and Level 2000 modules without other NUS modules as pre-requisites, unless otherwise stipulated by the Faculties/Departments.
Taken from: http://www.nus.edu.sg/registrar/edu/UG/graduation.html#SU
This is a great improvement from the earlier system, where students could only S/U non-core modules. New NUS students have it good!
Featured Book:
The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guide)
The holiday season is here, and check out the deals on Groupon to save while buying presents or delicious food!
Hi Readers,
Are you looking for a printable 2015 Calendar, specially tailored for Singapore?
Check out this PDF printable 2015 calendar: Calendar
(Generated by http://www.calendarlabs.com/pdf-calendar.php)
Happy new year!
Featured book:
Give a child gifts that will last a lifetime – self-esteem, tolerance, values, and inner strength. This book is filled with inspirational stories for children and their families to share, all about kids making good choices and doing the right thing.
The values that children learn today will stay with them for the rest of their lives. This collection gives kids positive role models to follow in its 101 stories about doing the right thing and making healthy choices. You and your child will enjoy discussing the stories, making it a family event. Great for teachers to share with students too.
从来没有状元的老师, 却能培养出状元学生。中国历史的状元, 都是在科举失败的穷秀才教导出来的。看今日的Fields Medalists / Nobel Prize winners, 他们的指导教授多数没拿过这大奖。
法国有两位世界级的数学大师Evariste Galois, Charles Hermite, 相隔15年,同是一位中学数学老师培养。Mr. Richard 是巴黎路易大帝中学(Lycée Louis Le Grand) 的数学老师, 他能创新课材, 加上他本身是”数学迷”, 对学生因材施教, 慧眼视英雄于微时。Galois13 岁前是由妈妈家教(home-schooling), 中一才上学校。Richard看出他有数学天才, 个别教他读当代数学大师的书, 其他科目的老师却视他为功课低劣学生。
结果Galois发现群论 (Group Theory), 开创”抽象代数” (Abstract Algebra)。Galois不被世人接受, 因为他的理论太玄奥 (至今还是数学硕士班的难题), Cauchy, Fourier, Poissons, Gauss… 这些世界数学泰斗也看不懂! 他的悲剧是法国大革命, 因枪斗而死, 才21岁的生命。可是他对人类的贡献是”Larger than Life”.
Richard 收集Galois的作业, 留给15年后同一班另一学生Charles Hermite, 也是个数学天才。他比Galois的命运好一点, 考进Ecole Polytechnique (X),是排最后一名及格, 好过Galois重考2年都进不了。可是他的脚有问题, X第一年学生是军官训练, 他被X踢出校门。讽刺的是, 很多年后他回校被聘为教授。
Charles Hermite 证明 e是超函数 (Transcendental), 他的学生德国人Lindermann如法炮制, 证明pi也是transcendental.
Lindemann 从Hermite接过法国数学火种, 回去德国成为一代宗师, 培养了很多大师级的学生 (Félix Klein, Dirichlet, Jacobi, Gauss, …), 20世纪德国数学Gottingen University取代巴黎成为数学王国, 直至二战德国犹太数学家(Émile Noether, Artin, …)逃去美国, 才轮到Princeton University.
一位默默无名的中学/高中数学老师Richard, 百年树人, 改变了世界数学史!
An interesting news to share:
Billionaire Ronnie Chan Chi-chung seems to have it all figured out. Were the Hang Lung Properties chairman to live his life over again, it would not be as a businessman — he’d be a mathematician or scientist instead.
Chan, who offered this little gem during a speech at the Hang Lung Mathematics Awards ceremony, said he may have more material wealth than famed mathematician Yau Shing-tung but much less intellectual wealth.
As co-founder of the awards, which were set to encourage secondary school students to pursue maths and sciences, Chan urged youngsters to go the extra mile and become mathematicians or scientists as they can contribute more to society than what a businessman can.
Read more at: http://www.thestandard.com.hk/news_detail.asp?we_cat=21&art_id=152297&sid=43527569&con_type=1&d_str=20141212&fc=8
Hopefully this can encourage students currently studying Maths, be it O Level Maths, JC H1 or H2 Maths, or even University Maths!
Featured Book:
The Shape of Inner Space: String Theory and the Geometry of the Universe’s Hidden Dimensions
New Scientist
“It is a testimony to [Yau’s] careful prose (and no doubt to the skills of co-author Steve Nadis) that this book so compellingly captures the essence of what pushes string theorists forward in the face of formidable obstacles. It gives us a rare glimpse into a world as alien as the moons of Jupiter, and just as fascinating…. Yau and Nadis have produced a strangely mesmerizing account of geometry’s role in the universe.”
Nature
“Physicists investigate one cosmos, but mathematicians can explore all possible worlds. So marvels Fields medalist Shing-Tung Yau…. Relating how he solved a major theoretical problem in string theory in the 1970s, Yau explains how the geometries of the vibrating multidimensional strings that may characterize the Universe have implications across physics.”
The beauty I see in algebra: Margot Gerritsen at TEDxSTANFORD:
From equations to matrices… to Google search, MRI body scan, …
Source: Science Daily
Date: December 15, 2014
Source: Emory University
Summary: Monstrous moonshine, a quirky pattern of the monster group in theoretical math, has a shadow — umbral moonshine. Mathematicians have now proved this insight, known as the Umbral Moonshine Conjecture, offering a formula with potential applications for everything from number theory to geometry to quantum physics.
“We’ve transformed the statement of the conjecture into something you could test, a finite calculation, and the conjecture proved to be true,” says Ken Ono, a mathematician at Emory University. “Umbral moonshine has created a lot of excitement in the world of math and physics.”
Co-authors of the proof include mathematicians John Duncan from Case Western University and Michael Griffin, an Emory graduate student.
“Sometimes a result is so stunningly beautiful that your mind does get blown a little,” Duncan says. Duncan co-wrote the statement for the Umbral Moonshine Conjecture with Miranda Cheng, a mathematician and physicist at the University of Amsterdam, and Jeff Harvey, a physicist at the University of Chicago.
Ono will present their work on January 11, 2015 at the Joint Mathematics Meetings in San Antonio, the largest mathematics meeting in the world. Ono is delivering one of the highlighted invited addresses.
Read more at: Science Daily
Featured Book:
Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (Cambridge Monographs on Mathematical Physics)
“An excellent introduction to this area for anyone who is looking for an informal survey… written in a lively and readable style.”
R.E. Boucherds, University of California at Berkeley for the Bulletin of the AMS
“It is written in a breezy, informal style which eschews the familiar Lemma-Theorem-Remark style in favor of a more relaxed and continuous narrative which allows a wide range of material to be included. Gannon has written an attractive and fun introduction to what is an attractive and fun area of research.”
Geoffrey Mason, Mathematical Reviews
“Gannon wants to explain to us “what is really going on.” His book is like a conversation at the blackboard, with ideas being explained in informal terms, proofs being sketched, and unknowns being explored. Given the complexity and breadth of this material, this is exactly the right approach. The result is informal, inviting, and fascinating.”
Fernando Q. Gouvea, MAA Reviews
Are you curious what do Mathematicians eat for breakfast? 🙂
Featured Book:
The Math of Food (Integrating Math in the Real World Series)
How can math help you improve your diet?
Sharpens math skills from whole-number operations through basic algebra and geometry
Builds problem-solving and critical-thinking skills
Includes teacher notes, concepts and skills covered, relevant Internet sites, and more
In O Level E Maths, we learn how to bisect an angle using compass and straightedge (ruler). However, is it possible to trisect an angle?
It turns out it is impossible! This took 2000 years to prove, and requires the use of a very difficult theory called Galois Theory.
Check out this interesting video on trisecting angles:
It turns out it is possible to trisect angles using Origami though:
Featured Book:
Galois’ Theory Of Algebraic Equations
Galois’ Theory of Algebraic Equations gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The main emphasis is placed on equations of at least the third degree, i.e. on the developments during the period from the sixteenth to the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as “group” and “field”. A brief discussion on the fundamental theorems of modern Galois theory is included. Complete proofs of the quoted results are provided, but the material has been organized in such a way that the most technical details can be skipped by readers who are interested primarily in a broad survey of the theory. This book will appeal to both undergraduate and graduate students in mathematics and the history of science, and also to teachers and mathematicians who wish to obtain a historical perspective of the field. The text has been designed to be self-contained, but some familiarity with basic mathematical structures and with some elementary notions of linear algebra is desirable for a good understanding of the technical discussions in the later chapters.
Source: Baidu Encyclopedia (Liu Hong)
刘洪(约公元130～210)，字元卓，东汉泰山郡蒙阴县（今山东省临沂市蒙阴县）人，东汉鲁王刘兴后裔，我国古代杰出的天文学家和数学家，珠算发明者，被后世尊为“算圣”。
Liu Hong (Year 130~210) was an ancient Chinese Mathematician who studied astronomy and mathematics. He was the inventor of the art of abacus arithmetic, and hence was given the title of “Sage of Arithmetic”.
Recently, I was fortunate to visit a statue of Liu Hong at his birthplace (modern day Linyi).
(Me beside statue of Liu Hong at Linyi People’s Square, Shandong)
Featured Book:
How To Use A Chinese Abacus: A step-by-step guide to addition, subtraction, multiplication, division, roots and more.
This book will teach you step-by-step how to perform addition, subtraction, division, multiplication, square roots and cube roots on a Chinese abacus. It also explains the ancient ‘extra bead’ method and the ‘suspended bead’ method. Great for both children and adults. Clearly explained with text and pictures throughout every stage of your calculation.
A friend from China gave us a bag of walnuts plucked from their home-grown walnut tree. I decide to count them by applying math:
A stack of walnuts piled in a pyramid, with base layer 6×6 walnuts, above layers 5×5, 4×4, 3×3, 2x 2, and finally top 1 (1×1).
How many walnuts are there in total ? (Answer: 91)
This is simple math but only taught in A-level (with proof by induction).
Hint: Watch free Khan Academy Math lecture to learn more ….
$latex displaystyle boxed {
sum_{1}^{n} k^2 =frac { n (n+1)(2n+1)} {6}
}$
This is a 400-year-old walnut tree: walnut is called “Wise fruit 聪明果”, it looks like human brain, also has proven nutritious benefits to brain.
Recently, I completed an excellent Coursera Course: An Introduction to Functional
Analysis, offered by École Centrale Paris.
Although challenging, it was a fun and interesting course, thanks to the effort by Professors John Cagnol and Anna Rozanova-Pierrat. Functional Analysis is a pretty difficult topic, and it was great to have two good professors explain it.
This course is actually more suitable for students who have some mathematical background, especially in mathematical analysis. New students may find it too hard to follow it from scratch. It is excellent as a review course for students who have taken functional analysis a few years ago but have forgotten some of it.
Featured Book:
Introductory Functional Analysis with Applications
Conrad Wolfram provoked the new idea of Computer-Based Math education:
Teach the ‘Why’ of Maths, leave the ‘How’ to the computer.
How: solve quadratic equation, simultaneous equations, differentiation, integration….
He mentioned Singapore is interested in this new approach of teaching Math ? The O & A Level students can now use scientific calculator in Exams.
Stephen Wolfram: Founder & CEO of Mathematica (UK)
Wolfram Alpha: Knowledge-base Computing using public data on the net and private information.
Mathematica: Math tool using Symbolic Functional Language (LISP)
New Kind of Science: Cell Automata
Physics: From Computing World to find new Physical World
Jack Ma of the Alabama.com gives this Arithmetic question to the audience, only 1% get the answer right !
Jack has cash $50, which he uses to buy:
Clothing : $20 (Balance $50-20 = $30)
Shoes: $15 (Balance = $30-15 = $15)
Candy: $9 (Balance = $15- 9 = $6)
Food: $6 (Balance = $6 – 6=$0)
Question:
Add up the Balances = $ 30+15+6 = $51
Where does the extra $1 come from ?
French Concours was influenced by Chinese Imperial Exams (科举ko-gu in ancient Chinese, today in Hokkien dialect) from 7AD till 1910. The French Jesuits working in China during the 16th -18th centuries were the culprits to bring them to France, and Napoleon copied it for the newly established Grande École “École Polytechnique” (a.k.a. X).
The “Bachelier” (or Baccalauréat from Latin-Arabic origin) is the Xiucai (秀才), only with this qualification can a person teach school kids.
With Licencié (ju-ren 举人) a qualification to teach higher education.
Concours was admired in France as meritocratic and fair social system for poor peasants’ children to climb up the upper social strata -” Just study hard to be the top Concours students”! As the old Chinese saying: “十年寒窗无人问, 一举成名天下知” (Unknown poor student in 10 years, overnight fame in whole China once top in Concours).Today, even in France, the top Concours student in École Polytechnique…
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Here are some tips to organize your studying time!
How to Better Organize After School Studying?
The key to achieving success in every academic discipline is practice, practice and more practice. However, this is where many students struggle the most: finding the time and the right methods to study after school. If you want to help your child study better, here is a simple to-do list:
Find the best method for your kid
Children have their own individual studying patterns, some of them prefer to study by themselves, some kids learn more when they participate in study groups, while other children, especially students with learning difficulties, might require a help of a professional tutor. You have to first recognize your child’s needs, try different methods and evaluate the results. Remember that the key to successful studying is regularity: even the best tutor will not be able to help your child, if they meet sporadically. Schedule a time for after school studying every week and check if your child adheres to it.
Take regular breaks
It is good to have a strict studying schedule, but breaks are also important. Regular breaks help boost child’s creativity and approach the task at hand with more enthusiasm.
Intensify as the exam approaches
If the after school studying is meant as a preparation for the upcoming exam, remember to start studying early and intensify as the day of the exam approaches. For example, start from doing simple Singapore Math exercises a few weeks before the day of the exam and progress to more complex issues, while increasing the workload. Never let your child study overnight before the exam, it will only make him feel more tired and stressed out on the day of the exam, plus this kind of behavior supports bad studying habits and false convictions that everything can be mastered within a few hours and there is no need to learn on a day to day basis.
Resource: http://eastwestmath.com
Mathtuition88 