Showing posts with label math genius. Show all posts
Showing posts with label math genius. Show all posts

Friday, December 10, 2021

The Boy Who Dreamed of Infinity by Amy Alznauer

In 1887, Srinivasa Ramanujan was born in a small village in South India, by the banks of the Kaveri River. His mother whispered to him that prior to his birth, "the goddess Namagiri leaned down and whispered in your grandmother's ear that someday she would write the thoughts of God on your tongue." She decided to name him Ramanujan.

For the first three years of his life Ramanujan was silent. To help him, his grandfather would trace numbers in the rice and count aloud in Tamil. This led Ramanujan to being to speak. He would ask questions such as "What is small?" and "What is big?"

At five years of age, Ramanujan attended  a small school held on the porch of a house. He became bored and would often wander away.His mind was filled with questions like,  What else is small? 

He thought of a mango cut into smaller and smaller pieces, until there were infinite pieces. Ramanujan continued to be intrigued by numbers, big and small. 

In school he would scratch numbers furiously on his slate, irritating the school master who wondered what he was doing. Not surprisingly, Ramanujan hated school. After trying new schools every year, his parents finally sent him to Kangayan Primary.

While his schoolmates played goli gundu, Ramanujan spent his time after school on the front pial of his home, working with the numbers he loved so much. Numbers were everywhere for Ramanujan, in the songs his mother sang and in his dreams at night.

When he was ten years old, Ramanujan began attending Kumbakonam Town High School. There a schoolmaster finally recognized Ramanujan's gift with numbers. He had the ability to solve math problems quickly and although shy he entertained his classmates. Ramanujan found a college mathematics textbook and was able to solve all the problems. He began keeping a notebook which he used to write down his mathematical ideas in green pen. 

He loved to ask unusual questions such as "How many sums are inside two hundred?" and "Will an endless list of tiny numbers add up to 1 or infinity?" Unfortunately, Ramanujan failed college and returned home. He was twenty years old and had no job. His mother demanded he get a job and arranged a marriage for him. He eventually obtained work as an account clerk with Port Trust in Madras.

But still Ramanujan continued to work on his math problems. The British, working in Madras were convinced Ramanujan was brilliant and urged him to write a letter to Cambridge University, in England. After many letters and no responses, Ramanujan wrote to G. H. Hardy, a top mathematician at Cambridge who had studied the concept of infinity. Hardy was stunned by Ramanujan's ideas and urged him to come to England. In 1914, after praying in the temple, Ramanujan left behind his amma and appa, and his young wife and sailed to England. He brought with him his notebooks and his ideas which would change the study of mathematics forever.

Discussion

The Boy Who Dreamed of Infinity presents the story of Srinivasa Ramanujan whose life was also the subject of the 2015 movie, The Man Who Knew Infinity. 

The author, Amy Alznauer has a direct connection to Ramanujan's story because it was her father who discovered Ramanujan's "Lost Notebook." As Alznauer writes in her Author's Note, she was six years old when she travelled to England with her father who was a mathematician. Her father was Professor George Andrews, attending a conference in England in 1976, and who was invited to look at some materials stored at the Trinity College Library belonging to the estate of the late G. N. Watson. Watson had been Mason professor of pure mathematics at the University of Birmingham and had spent ten to fifteen years studying Ramanujan's work. Professor Andrews found a collection of 138 pages containing over six hundred formulas in a box of materials. These pages he called "The Lost Notebook".

Andrews was a recognized authority on the work of Ramanujan and published papers on his work in the journal, Advances in Mathematics.  Alznauer is also a mathematics graduate who teaches calculus and number theory at Northwestern University.

The Boy Who Dreamed of Infinity portrays Ramanujan as a boy obsessed with numbers. He spends all his time writing on his slate and rubbing the numbers off with his elbow so he can produce more formulas and numbers/ For Ramanujan, numbers "leaped and roared." As a child he saw numbers every where. "Numbers were everywhere. In the squares of light pricking his thatched roof. In the gods dancing on the temple tower. In the clouds that formed and re-formed in the sky."

Ramanujan is driven by his desire to understand numbers, and the concept of infinity. "If he could crack the number 1 open and find infinity, what secret would he discover inside other numbers? It felt like he was setting out on a grand chase." It is Ramanujan's personal relationship with numbers, a voyage of discovery that occurred every day, that Alznauer portrays to her young readers. In her Author's Note she writes, "Every morning when Ramanujan woke, numbers rose with the sun and spread to every corner of his mind. From the time he was a little boy, he learned mathematics not from books or teachers but by experimenting with numbers himself. He dusted off their bones and looked for their hidden structures. So I show him discovering ideas like primes and partitions and infinite sums even before he knew what to call them."

The author writes that she "focused on the development of Ramanujan's young mind and his struggle to be understood." In her portrayal, Ramanujan is shown as often being misunderstood as he spent hours with his slate, writing and working with numbers. Because of this he often faced challenges in school and even from the people around him.

For Ramanujan mathematics was an adventure, one that would ultimately lead him from India to England. As he grew older and his questions became more sophisticated, he developed formulas to help him answer those questions. And eventually he had the overwhelming desire to share his ideas about numbers. He wanted to seek out others who were also looking for answers. His experience in England gave him that opportunity.

Adding depth to Alznauer's portrayal of Ramanujan's extraordinary relationship with numbers, is the artwork of illustrator Daniel Miyares. Rendered in ink, the illustrations are colourful, capturing the wonder Ramanujan seems to have had with numbers.

The Boy Who Dreamed of Infinity is recommended for those who are interested in science, and for use in STEM and math classes. Math is portrayed not as something to be feared, but as an exciting challenge. Ramanujan was considered a brilliant mathematician, and Alznauer's picture book offers readers a glimpse into life of possibly one of the greatest mathematicians ever.   

Book Details:

The Boy Who Dreamed of Infinity by Amy Alznauer
Somerville, Massachusetts: Candlewick Press     2020

Monday, October 15, 2018

The Miscalculations of Lightning Girl by Stacy McAnulty

Twelve-year-old Lucy Callahan was struck by lightning four years ago. Lucy was playing with her friend Cecelia, outside the apartment building she and Nana lived in when a sudden thunderstorm developed. Lucy decided to climb a chain link fence which was struck by lightning. The lightning strike knocked Lucy unconscious, stopping her heart, and her friend to the ground. Lucy's life was saved by the apartment maintenance man who was able to restart her heart with a defibrillator. Other than burns to her hands, Lucy seemed to be fine. That is until a week later.

While watching television with Nana, Lucy was inexplicably able to calculate the cost of a car from monthly payments in her head. Suddenly, Lucy who was in Grade 2 and learning addition and subtraction, could do difficult math calculations. Doctors diagnosed her with acquired savant syndrome, meaning she had developed a profound talent - in her case, the ability to do mathematics.

In reality, Lucy's brain was damaged by the lightning strike, part of the left lobe of her brain was shut down, resulting in the right side working overtime. Lucy can do advanced mathematical calculations, calendar math, recognize mathematical patterns and she "sees" math with every number having it's own colour and shape. Lucy also has a fear of germs which leads her to sanitize every surface she touches and she needs to sit/stand three times before she sits anywhere. She also needs to count all the words before she can read anything. Because of all her peculiar habits, Lucy has been homsechooled since her accident and now at the age of twelve has passed high school, the GED and gotten perfects chores on her SATs. She wants to attend college but her nana believes she is too young.

Lucy's beloved Uncle Paul who is a marine visits their apartment before he moves away to California. He gives Lucy a pendant of a lightning bolt. During his short stay, he supports Nana in her decision to have Lucy attend public school. Lucy doesn't want to go to middle school but instead wants to go to college. She believes she can do everything online. However she hasn't left the apartment in four weeks and her only friends are online ones that she's made through the various math forums.

After a brief tour and a meeting with Dr. Cobb, principal of East Hamlin Middle School, Lucy is enrolled in Grade 7. Nana insists she attend for a year, "Make 1 friend. Do 1 thing outside o f these walls. Read 1 book not written by an economist or a mathematician." Lucy is certain that attending school will be a disaster.

Despite her strange habits and the fact that she's new to the school, Lucy does make two friends; Windy Sitton who loves musicals and is intrigued by Lucy's strangeness and Levi Boyd, a boy with two moms who loves photography and is caught cheating off of Lucy during their assessment in math class. Lucy is  made fun of and her strange habits earn her the label "cleaning lady". She spends most of her time attempting to hide her mathematical genius. She calculates how many questions she should get wrong on tests to that it won't look like she is hiding something. Lucy uses her math abilities to help her group of Windy and Levi in their class project. As her friendship with her two classmates grows, Lucy calculates that she can let them in on her secret - that she's really a math genius. However, Lucy begins to realize that while numbers can help predict certain things, not everything in life can be determined mathematically. She might be a math genius but Lucy discovers she's making many miscalculations about trust and the meaning of friendship.

Discussion

The Miscalculations of Lightning Girl is an enjoyable story about a young girl trying to come to terms with her differences while learning to trust and build friendships.

After her brain is damaged by a lightning strike, making her a math savant, Lucy Callahan believes her life is set, the equation of life has been solved - she will go to university and study math. Her unusual repetitive behaviours have forced her into the solitude of home, where she is taught by her Nana. But her wise Nana knows this is not healthy for Lucy and forces her into a year of school, to make a friend, and do something within the community. She knows this will be a difficult task for her young granddaughter who sees everything as numbers, but she hopes it will broaden Lucy's perspective.

And so Lucy enters school with the intention of simply surviving the year. However middle school forces her to interact with other people, something her mathematical abilities cannot really help her to do. Lucy uses her mathematical abilities to help her navigate life. She sees everything in mathematical terms. For example, the colours of clothing people all have numbers for Lucy. "I wear a teal-and-pink-striped shirt (like the colors of 107 and 42) and dark jeans." What Lucy can't understand are people and this difficulty leads to the inevitable crisis.

Initially she makes a good decision about who to tell about her mathematical gift. Although Windy is her budding friend, Lucy decides first to tell Levi about what happened to her at age eight. "I can't explain it, but I trust that Levi will keep my secret."  Despite the fact that Levi cheated off of her on their assessment and got them both in trouble, Lucy reasons, "Unlike Windy, he rarely talks about other people. I know I should get it over with and tell her, too. She's my best friend, and she shares every detail of her life with me...The problem is, she also tells me about everyone else. From her mom - who needs to wax a mustache - to which kids repeated kindergarten. There's no controlling information once it's in Windy's head. No vault. No lock and key. No secret combinations."

As it turns out Lucy was correct in her assessment of both Levi and Windy. She does eventually tell Windy who is upset that Levi knew before her. Levi explains to Windy that Lucy struggles to trust people. "Give her a break," Levi says, opening another box of candy. 'She did tell you a minute ago. Lucy's like a nervous teacup Chihuahua. She takes a while to trust someone.' " Levi likens himself to a trusty golden retriever.  Windy breaks Lucy's trust by revealing her secret at her birthday party.

While Lucy can understand advanced mathematical concepts she cannot understand Windy's betrayal of her secret. "For someone who is supposed to be smart, I can't figure out how to get Pi adopted, and I can't figure out Windy. Why did she tell my secret to someone who is always mean to her. She chose Maddie over me. Maddie." Lucy's miscalculation results in her feeling betrayed and angry. But when Windy confronts Lucy, apologizing for her actions, she forces Lucy to really listen to her. Lucy believes Windy told her secret "to get the other girls to like you by making fun of me..." however, Windy reveals that she wanted her friends to be Lucy's friends too. Lucy questions why Windy wants to be her friend and Windy states,  "You never complain about my love of musicals or my causess. You don't try to change people. It's like you're only trying to understand people."  Windy tells Lucy that she feels accepted. However for Lucy people will always be an unsolvable equation. "I will never understand people. In algebra, you can solve an equation when you have 1 unknown variable. People are equations with dozens of variables. Basically unsolvable."

By the end of the novel, Lucy is beginning to understand that life is not an equation with a set solution. For example, where she once thought that she would just want to move on to college, she now has several possibilities for schooling in January: she can continue on at East Hamlin, she can attend NCASME or she can home school. Attending school has also helped Lucy understand that others have their own problems something she comes to realize about classmate and mean girl, Maddie.

McAnulty has crafted a delightful novel about friendship, forgiveness and acceptance.  The Miscalcuations of Lightning Girl is populated with realistic, endearing characters: the trustworthy Levi, Windy who thinks big and wants to save the world, and the understanding, kind Mr. Stoker who pushes Lucy to share her gift with the world. Overall  The Miscalculations of Lightning Girl is an enjoyed read.

Book Details:

The Miscalculations of Lightning Girl by Stacy McAnulty
New York: Random House     2018
293 pp.